Relevant bibliographies by topics / BOUNDARY VERTICES

Academic literature on the topic 'BOUNDARY VERTICES'

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Published: 11 September 2023

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Journal articles on the topic "BOUNDARY VERTICES"

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Chartrand, Gary, David Erwin, Garry L. Johns, and Ping Zhang. "Boundary vertices in graphs." Discrete Mathematics 263, no. 1-3 (February 2003): 25–34. http://dx.doi.org/10.1016/s0012-365x(02)00567-8.

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Mariumuthu, G., and M. S. Saraswathy. "Dynamics of Boundary Graphs." Journal of Scientific Research 5, no. 3 (August 29, 2013): 447–55. http://dx.doi.org/10.3329/jsr.v5i3.14866.

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In a graph G, the distance d(u,v) between a pair of vertices u and v is the length of a shortest path joining them. A vertex v is a boundary vertex of a vertex u if for all The boundary graph B(G) based on a connected graph G is a simple graph which has the vertex set as in G. Two vertices u and v are adjacent in B(G) if either u is a boundary of v or v is a boundary of u. If G is disconnected, then each vertex in a component is adjacent to all other vertices in the other components and is adjacent to all of its boundary vertices within the component. Given a positive integer m, the mth iterated boundary graph of G is defined as A graph G is periodic if for some m. A graph G is said to be an eventually periodic graph if there exist positive integers m and k >0 such that We give the necessary and sufficient condition for a graph to be eventually periodic. Keywords: Boundary graph; Periodic graph. © 2013 JSR Publications. ISSN: 2070-0237 (Print); 2070-0245 (Online). All rights reserved. doi: http://dx.doi.org/10.3329/jsr.v5i3.14866 J. Sci. Res. 5 (3), xxx-xxx (2013)
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Cáceres, José, Carmen Hernando, Mercè Mora, Ignacio M. Pelayo, María L. Puertas, and Carlos Seara. "On geodetic sets formed by boundary vertices." Discrete Mathematics 306, no. 2 (February 2006): 188–98. http://dx.doi.org/10.1016/j.disc.2005.12.012.

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Li, Tao, and Wen Liang Chen. "A Robust Clipping Algorithm for Overlap Surface Patches." Applied Mechanics and Materials 701-702 (December 2014): 136–40. http://dx.doi.org/10.4028/www.scientific.net/amm.701-702.136.

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By revising geometry and topology information of boundaries, a robust clipping method is proposed for overlapped surface patches. All the boundary vertices of one patch are marked on the basis of their relationship with the boundary loops of the other patch. Then the overlap regions are recognized according to the vertices flags. If the overlap regions are slim and only one boundary curve in each patch is intersected, the corresponding parts of the curves are subdivided and their vertices are repositioned, and the interfered curves are sewed together. Otherwise, the boundaries are reorganized according to vertex flags. There are two candidate clipping schemes for each overlapped patches and the one with fewer boundary curves is the final result. Examples verify robustness of the algorithms.
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Boyarsky, Alexey, Bogdan Kulik, and Oleg Ruchayskiy. "String field theory vertices, integrability and boundary states." Journal of High Energy Physics 2003, no. 11 (November 21, 2003): 045. http://dx.doi.org/10.1088/1126-6708/2003/11/045.

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Avdonin, Sergei, and Julian Edward. "An Inverse Problem for Quantum Trees with Delta-Prime Vertex Conditions." Vibration 3, no. 4 (November 17, 2020): 448–63. http://dx.doi.org/10.3390/vibration3040028.

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In this paper, we consider a non-standard dynamical inverse problem for the wave equation on a metric tree graph. We assume that the so-called delta-prime matching conditions are satisfied at the internal vertices of the graph. Another specific feature of our investigation is that we use only one boundary actuator and one boundary sensor, all other observations being internal. Using the Neumann-to-Dirichlet map (acting from one boundary vertex to one boundary and all internal vertices) we recover the topology and geometry of the graph together with the coefficients of the equations.
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Alexandrov, Stepan Andreevich, Nikolay Vladimirovich Bogachev, Andrei Yurievich Vesnin, and Andrei Aleksandrovich Egorov. "On volumes of hyperbolic right-angled polyhedra." Sbornik: Mathematics 214, no. 2 (2023): 148–65. http://dx.doi.org/10.4213/sm9740e.

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New upper bounds for the volumes of right-angled polyhedra in hyperbolic space $\mathbb{H}^3$ are obtained in the following three cases: for ideal polyhedra with all vertices on the ideal hyperbolic boundary; for compact polyhedra with only finite vertices; and for finite-volume polyhedra with vertices of both types. Bibliography: 23 titles.
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Shastry, Aditya, and Nidhi Khandelwal. "Antibandwidth of a Graph." Mapana - Journal of Sciences 11, no. 4 (August 6, 2012): 59–64. http://dx.doi.org/10.12723/mjs.23.4.

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The antibandwidth problem consists of placing the vertices of a graph on a line in consecutive integer points in such a way that the minimum difference of adjacent vertices is maximized. This problem is NP- hard. In this paper, we find some bounds for antibandwidth using some invariants of graphs. We prove that considerating the interior boundary and the exterior boundary when estimating the antibandwidth of connected graphs gives the same results.
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Yahya Mohamed, S., and N. Subashini. "Bipolar fuzzy graphs based on boundary and interior vertices." Malaya Journal of Matematik S, no. 1 (2020): 506–10. http://dx.doi.org/10.26637/mjm0s20/0096.

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Chen, Lingyun, and Weigen Yan. "Spanning Trees of the Generalised Union Jack Lattice." Zeitschrift für Naturforschung A 71, no. 4 (April 1, 2016): 331–35. http://dx.doi.org/10.1515/zna-2015-0415.

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AbstractThe Union Jack lattice UJL(n, m) with toroidal boundary condition can be obtained from an n×m square lattice with toroidal boundary condition by inserting a new vertex vf to each face f and adding four edges (vf, ui(f)), where u1(f), u2(f), u3(f), and u4(f) are four vertices on the boundary of f. The Union Jack lattice has been studied extensively by statistical physicists. In this article, we consider the problem of enumeration of spanning trees of the so-called generalised Union Jack lattice UDn, which is obtained from the Aztec diamond $AD_n^t$ of order n with toroidal boundary condition by inserting a new vertex vf to each face f and adding four edges (vf, ui(f)), where u1(f), u2(f), u3(f) and u4(f) are four vertices on the boundary of f.
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Dissertations / Theses on the topic "BOUNDARY VERTICES"

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HANOT, RAHUL. "COMMUNITY DTECTION USING FIRE PROPAGATION AND BOUNDARY VERTICES ALGORITHMS." Thesis, DELHI TECHNOLOGICAL UNIVERSITY, 2020. http://dspace.dtu.ac.in:8080/jspui/handle/repository/18779.

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Community detection in complex networks deal with grouping related nodes together and plays a vital role to understand the functioning of the system in real-life situations. Community detection is classified as an NP-hard problem. Various algorithms are currently available for it but the problem with these existing algorithms is either they have high in time complexity or they have not able to partition the network perfectly. In this paper, we propose a novel community detection algorithm that works in two phases. In the first phase, we apply fire propagation technique in which choosing an arbitrary vertex as the core vertex and connecting an adjacent vertex to it and shapes a community this is similar to how fire spreads in real-life situations. In the second phase,we use the result of the first phase of an overlapped community and detect all boundary vertices which are belongings to more than one communities and assign them to the single community based on the weight that each core vertex assign to that particular boundary vertex using Dijkstra distance and the count of the adjacent vertex that belong that community. The proposed algorithm performs well as compared to label propagation and walk-trap algorithm in terms of modularity score using various synthetic and real-world datasets.
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Parsadous, Ali. "Vertical sidewall boundary layers in combined waves and currents." Thesis, University College London (University of London), 1995. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.339101.

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Veitel, Hansjörg. "Vertical profiles of NO2 and HONO in the boundary layer." [S.l.] : [s.n.], 2002. http://deposit.ddb.de/cgi-bin/dokserv?idn=964946211.

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Siddons, J. T. "The vertical distribution of phytoplankton in a turbulent boundary layer." Thesis, University of Liverpool, 2018. http://livrepository.liverpool.ac.uk/3018308/.

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Moresco, Pablo Diego. "Linear and weakly nonlinear stability of mixed convection boundary layers." Thesis, Keele University, 2000. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.325859.

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Pufahl, Alexander G. "Vertical structure of the oceanic planetary boundary layer : a modelling approach." Thesis, University of Liverpool, 1997. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.363992.

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Grzeskowiak, Stephan. "An Empirical Examination of Boundary Conditions of Relational Exchange." Diss., Virginia Tech, 2006. http://hdl.handle.net/10919/26935.

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Current marketing channel literature overwhelmingly suggests that entering exchange relationships leads to positive outcomes for the exchange parties. Yet, not all exchanges employ relational exchange. Thus, research appears to lack an understanding of the boundary conditions of successful relational exchange. This dissertation contributes to filling this gap by clarifying what is understood as relational exchange and differentiating it from vertical integration. Here, a two-dimensional perspective on exchange structure is offered that integrates our view of relational exchange and extends the conceptualization of vertical integration beyond sole ownership. To derive boundary conditions of relational exchange the literature on interorganizational relationships is integrated into six determinants and two key outcomes of relational exchange. These boundary conditions thus represent the facilitating circumstances that make relational exchange viable and the outcomes of relational exchange that exchange partners seek to achieve.
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Gumm, Zoe. "Thermal instabilities in an evolving boundary layer at a single vertical wall." Thesis, City University London, 2013. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.649372.

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In this research we look at the effects of heating a single vertical wall bounding a semi-infinite fluid. This investigation is based on a mathematical and numerical study of the equations that govern the fluid motion. Our main focus is on the study of thermal instabilities, the first stage in the breakdown of the smooth flow up the wall that may eventually lead to turbulence. In our research, a thermal instability is defined to be a growth in the disturbance energy by a set amount. Initially instabilities cannot develop and therefore the main aim of our research is to identify the time at which instabilities in our system begin to grow. This involves finding the most unstable initial conditions and looking at how the form of the instabilities change as the background flow evolves. By achieving this, we have obtained quantitative information regarding the onset of thermal instabilities which takes into account the time-dependent nature of the problem.
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Nasiri, Farshad. "The Structure of Boundary Layer Along a Vertical, Surface-Piercing Flat Plate." Thesis, The George Washington University, 2018. http://pqdtopen.proquest.com/#viewpdf?dispub=10842581.

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The present work reports on Direct Numerical Simulations of a temporally developing, zero pressure gradient, turbulent boundary along a surface piercing flat plate and its interaction with the free surface. The simulations were driven by experiments of the same flow regime. Three separate Froude numbers were considered in increasing order. Consequently the interface progresses from a rigid and undisturbed surface to one with violent eruptions, breaking waves and air entrainment. At the lowest Froude number where the surface stays flat, the simulations agreed well with prior studies and captured the recirculation regions in the cross-stream plane which are shown to be due to Reynolds stress anisotropy. At intermediate Froude numbers it was found that the main source of vorticity beneath the surface is not the Reynolds stress anisotropy but rather the vorticity generated at the interface. This vorticity was found to affect turbulent statistics including distribution of friction velocity and the slope of the log-law layer. Moreover, the present work shows that the surface generated vorticity interacts mainly with eddies of small and intermediate wave numbers and the smaller scales with high wave numbers remain intact.

Air entrainment due to turbulence was also investigated. With the aid of a prototypical problem the parameters that play a role in entrainment are established. A novel approach to quantify the turbulent structures was defined. Using this method, turbulent structures were categorized into entraining and non-entraining vortices. A Linear Logistic Regression model was trained and validated to help predict future entrainment events. The model performs well and can accurately predict entrainment events for both the turbulent regime and the prototypical problem.

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Veitel, Hansjörg. "Vertical Profiles of NO 2 and HONO in the Planetary Boundary Layer." [S.l. : s.n.], 2002. http://www.bsz-bw.de/cgi-bin/xvms.cgi?SWB10047881.

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Books on the topic "BOUNDARY VERTICES"

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Clawson, K. L. Meteorological measurements during the urban 2000/VTMX field study. Silver Spring, Md: U.S. Dept. of Commerce, National Oceanic and Atmospheric Administration, Oceanic and Atmospheric Research Laboratories, Air Resources Laboratory, 2002.

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Center, Lewis Research, ed. The design of a transparent vertical multizone furnace: Application to thermal field tuning and crystal growth. [Cleveland, Ohio]: National Aeronautics and Space Administration, Lewis Research Center, 1998.

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Siegrist, Franziska C. Determination of energy and trace gas fluxes on a regional scale: Combination of local surface flux measurements and vertical flux profiles throughout the atmospheric boundary layer in complex terrain (Swiss Seeland Region). Bern: Institute of Geographiy, 2001.

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United States. Federal Aviation Administration. and Langley Research Center, eds. A simple, analytical, axisymmetric microburst model for downdraft estimation. Hampton, Va: National Aeronautics and Space Administration, Langley Research Center, 1991.

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An analysis of the vertical structure equation for arbitrary thermal profiles. [Washington, DC: National Aeronautics and Space Administration, 1987.

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Chemin, Jean-Yves, Benoit Desjardins, Isabelle Gallagher, and Emmanuel Grenier. Mathematical Geophysics. Oxford University Press, 2006. http://dx.doi.org/10.1093/oso/9780198571339.001.0001.

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Aimed at graduate students, researchers and academics in mathematics, engineering, oceanography, meteorology, and mechanics, this text provides a detailed introduction to the physical theory of rotating fluids, a significant part of geophysical fluid dynamics. The text is divided into four parts, with the first part providing the physical background of the geophysical models to be analyzed. Part two is devoted to a self contained proof of the existence of weak (or strong) solutions to the imcompressible Navier-Stokes equations. Part three deals with the rapidly rotating Navier-Stokes equations, first in the whole space, where dispersion effects are considered. The case where the domain has periodic boundary conditions is then analyzed, and finally rotating Navier-Stokes equations between two plates are studied, both in the case of periodic horizontal coordinated and those in R2. In Part IV, the stability of Ekman boundary layers and boundary layer effects in magnetohydrodynamics and quasigeostrophic equations are discussed. The boundary layers which appear near vertical walls are presented and formally linked with the classical Prandlt equations. Finally spherical layers are introduced, whose study is completely open.
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Wang, Bin. Intraseasonal Modulation of the Indian Summer Monsoon. Oxford University Press, 2018. http://dx.doi.org/10.1093/acrefore/9780190228620.013.616.

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The strongest Indian summer monsoon (ISM) on the planet features prolonged clustered spells of wet and dry conditions often lasting for two to three weeks, known as active and break monsoons. The active and break monsoons are attributed to a quasi-periodic intraseasonal oscillation (ISO), which is an extremely important form of the ISM variability bridging weather and climate variation. The ISO over India is part of the ISO in global tropics. The latter is one of the most important meteorological phenomena discovered during the 20th century (Madden & Julian, 1971, 1972). The extreme dry and wet events are regulated by the boreal summer ISO (BSISO). The BSISO over Indian monsoon region consists of northward propagating 30–60 day and westward propagating 10–20 day modes. The “clustering” of synoptic activity was separately modulated by both the 30–60 day and 10–20 day BSISO modes in approximately equal amounts. The clustering is particularly strong when the enhancement effect from both modes acts in concert. The northward propagation of BSISO is primarily originated from the easterly vertical shear (increasing easterly winds with height) of the monsoon flows, which by interacting with the BSISO convective system can generate boundary layer convergence to the north of the convective system that promotes its northward movement. The BSISO-ocean interaction through wind-evaporation feedback and cloud-radiation feedback can also contribute to the northward propagation of BSISO from the equator. The 10–20 day oscillation is primarily produced by convectively coupled Rossby waves modified by the monsoon mean flows. Using coupled general circulation models (GCMs) for ISO prediction is an important advance in subseasonal forecasts. The major modes of ISO over Indian monsoon region are potentially predictable up to 40–45 days as estimated by multiple GCM ensemble hindcast experiments. The current dynamical models’ prediction skills for the large initial amplitude cases are approximately 20–25 days, but the prediction of developing BSISO disturbance is much more difficult than the prediction of the mature BSISO disturbances. This article provides a synthesis of our current knowledge on the observed spatial and temporal structure of the ISO over India and the important physical processes through which the BSISO regulates the ISM active-break cycles and severe weather events. Our present capability and shortcomings in simulating and predicting the monsoon ISO and outstanding issues are also discussed.
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Book chapters on the topic "BOUNDARY VERTICES"

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Kumar, Sanjay, and Rahul Hanot. "Community Detection Using Fire Propagation and Boundary Vertices." In Advances in Intelligent Systems and Computing, 253–67. Singapore: Springer Singapore, 2021. http://dx.doi.org/10.1007/978-981-33-6984-9_21.

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Ławniczak, Michał, Omer Farooq, Afshin Akhshani, Małgorzata Białous, Szymon Bauch, and Leszek Sirko. "Role of the Boundary Conditions in the Graphs Split at Vertices." In Springer Proceedings in Complexity, 165–75. Cham: Springer International Publishing, 2023. http://dx.doi.org/10.1007/978-3-031-27082-6_14.

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Schütt, Carsten, and Elisabeth Werner. "Polytopes with Vertices Chosen Randomly from the Boundary of a Convex Body." In Lecture Notes in Mathematics, 241–422. Berlin, Heidelberg: Springer Berlin Heidelberg, 2003. http://dx.doi.org/10.1007/978-3-540-36428-3_19.

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Maz’ya, Vladimir, Serguei Nazarov, and Boris A. Plamenevskij. "Asymptotic Behaviour of Intensity Factors for Vertices of Corners and Cones Coming Close." In Asymptotic Theory of Elliptic Boundary Value Problems in Singularly Perturbed Domains, 227–50. Basel: Birkhäuser Basel, 2000. http://dx.doi.org/10.1007/978-3-0348-8434-1_6.

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Maz’ya, Vladimir, Serguei Nazarov, and Boris A. Plamenevskij. "Dirichlet and Neumann Problems for the Laplace Operator in Domains with Corners and Cone Vertices." In Asymptotic Theory of Elliptic Boundary Value Problems in Singularly Perturbed Domains, 3–41. Basel: Birkhäuser Basel, 2000. http://dx.doi.org/10.1007/978-3-0348-8434-1_1.

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Maz’ya, Vladimir, Serguei Nazarov, and Boris A. Plamenevskij. "Asymptotics of Solutions to General Elliptic Boundary Value Problems in Domains Perturbed Near Cone Vertices." In Asymptotic Theory of Elliptic Boundary Value Problems in Singularly Perturbed Domains, 115–55. Basel: Birkhäuser Basel, 2000. http://dx.doi.org/10.1007/978-3-0348-8434-1_4.

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Maz’ya, Vladimir, Serguei Nazarov, and Boris A. Plamenevskij. "Elliptic Boundary Value Problems in Domains with Smooth Boundaries, in a Cylinder, and in Domains with Cone Vertices." In Asymptotic Theory of Elliptic Boundary Value Problems in Singularly Perturbed Domains, 79–114. Basel: Birkhäuser Basel, 2000. http://dx.doi.org/10.1007/978-3-0348-8434-1_3.

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Némethi, András, and Ágnes Szilárd. "Vertical/Horizontal Monodromies." In Milnor Fiber Boundary of a Non-isolated Surface Singularity, 139–51. Berlin, Heidelberg: Springer Berlin Heidelberg, 2011. http://dx.doi.org/10.1007/978-3-642-23647-1_13.

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Gröne, Florian. "Vertical Boundary Dynamics under Foreign Competition Pressure." In Foreign Competition and Firm Boundary Dynamics, 49–91. Wiesbaden: Gabler, 2010. http://dx.doi.org/10.1007/978-3-8349-8736-5_3.

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Šprlák, Michal, and Natthachet Tangdamrongsub. "Vertical and Horizontal Boundary-Value Problems on a Spheroidal Boundary." In Encyclopedia of Geodesy, 1–7. Cham: Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-319-02370-0_167-1.

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Conference papers on the topic "BOUNDARY VERTICES"

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Miao, S., and D. Howard. "An Efficient Algorithm to Determine the Intersection of Simple Polygons for Robot Path Planning." In ASME 1996 Design Engineering Technical Conferences and Computers in Engineering Conference. American Society of Mechanical Engineers, 1996. http://dx.doi.org/10.1115/96-detc/mech-1014.

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Abstract This paper presents an efficient algorithm for determining the intersection of two simple polygons. The proposed algorithm is based on the idea of searching for the vertices of the intersection polygon vertex by vertex along the boundary in a clockwise direction. This method finds the intersection polygon vertices and their order in one pass. The algorithm almost eliminates the need for testing whether candidate vertices are inside both polygons and the sorting stage is no longer needed.
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Rigby, David. "TopMaker: A Technique for Automatic Multi-Block Topology Generation Using the Medial Axis." In ASME/JSME 2003 4th Joint Fluids Summer Engineering Conference. ASMEDC, 2003. http://dx.doi.org/10.1115/fedsm2003-45527.

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A two-dimensional multi-block topology generation technique has been developed. Very general configurations are addressable by the technique. A configuration is defined by a collection of non-intersecting closed curves, which will be referred to as loops. More than a single loop implies that holes exist in the domain, which poses no problem. This technique requires only the medial vertices and the touch points that define each vertex. From the information about the medial vertices, the connectivity between medial vertices is generated. The physical shape of the medial edge is not required. By applying a few simple rules to each medial edge, the multi-block topology is generated with no user intervention required. The resulting topologies contain only the level of complexity dictated by the configurations. Grid lines remain attached to the boundary except at sharp concave turns where a change in index family is introduced as would be desired. Keeping grid lines attached to the boundary is especially important in the area of computational fluid dynamics where highly clustered grids are used near no-slip boundaries. This technique is simple and robust and can easily be incorporated into the overall grid generation process.
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Lin, Hongwei, Yunbo Zhang, Charlie C. L. Wang, and Shuming Gao. "Flattenable Mesh Processing by Controllable Laplacian Evolution." In ASME 2010 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2010. http://dx.doi.org/10.1115/detc2010-28301.

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Models represented by polygonal meshes have been more and more widely used in CAD/CAM systems. In sheet manufacturing industries, the flattenability of a model is very important. Prior methods for processing the flattenability of a mesh surface usually employ a constrained optimization framework, which takes the positions of all its non-boundary vertices as variables in computation. For a mesh surface with hundred thousands of vertices, solving such an optimization is very time-consuming, and may exceed the capacity of main memory. In this paper, we develop a controllable evolution method to process the flattenability of a given mesh patch. It decouples the global optimization problem into a sequence of local controllable evolution steps, each of which has only one variable. Therefore, mesh surfaces with large number of vertices can be processed.
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Wang, Xuefu, Fuhua (Frank) Cheng, Jiaguang Sun, and Brian A. Barsky. "Boundary Representation, Intersection, and Evaluation of Nurb Based Non-Manifold Objects." In ASME 1996 Design Engineering Technical Conferences and Computers in Engineering Conference. American Society of Mechanical Engineers, 1996. http://dx.doi.org/10.1115/96-detc/dfm-1297.

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Abstract Boundary representation (B-rep), intersection, and evaluation schemes for NURB based non-manifold CSG objects are presented. The B-rep scheme follows a top-down, face-based approach. A definition of non-manifold objects and their set operations are given. The boundary evaluation process follows the intersect-merge-select strategy of Weiler (Weiler 1986). The generation of intersection geometry is performed in a bottom-up strategy. Intersection algorithms between entities of same and different dimensions are studied. The computation of face/face intersection is based on the concept of the marching method (Barnhill et al 1987; Barnhill & Kersey 1990). Several techniques have been developed to enhance the marching process, including the computation of initial points and tracing step sizes, control of intersection precision, and handling of branch points and tangential intersection curves (points). Inconsistency of the intersection results is corrected using criteria based on topological adjacency information. The proposed method finds all internal loops without performing loop detection (Hohmeyer 1991). New topological entities corresponding to the intersection results are created in the parameter space for each entity. These include vertices, edges and faces, but not 3D shells. The creation of topological faces is carried out by generating the boundary of each new face while traverse a net structure created during the intersection geometry generation process. Subsequent classification and selection are performed based on 2D topological entities, instead of 3D shells. The proposed methods has been implemented as the core of a NURB-based non-manifold modeling system.
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Vieira, Miguel, and Kenji Shimada. "Segmentation of Noisy Laser-Scanner Generated Meshes With Piecewise Polynomial Approximations." In ASME 2004 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2004. http://dx.doi.org/10.1115/detc2004-57475.

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Laser scanners offer a fast and simple way of collecting large amounts of geometric data from real-world objects. Although this aspect makes them attractive for design and reverse engineering, the laser-scanner data is often noisy and not partitioned into meaningful surfaces. A good partitioning, or segmentation, of the scanner data has uses including feature detection, surface boundary generation, surface fitting, and surface reconstruction. This paper presents a method for segmenting noisy three-dimensional surface meshes created from laser-scanned data into distinct regions closely approximated by explicit surfaces. The algorithm first estimates mesh curvatures and noise levels and then uses the curvature data to construct seed regions around each vertex. If a seed region meets certain criteria, it is assigned a region number and is grown into a set of connected vertices approximated by a bicubic polynomial surface. All the vertices in a region are within known distance and surface normal tolerances from their underlying surface approximations. The algorithm works on noisy or smooth data and requires little or no user interaction. We demonstrate the effectiveness of the segmentation on real-world examples.
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Venkataraman, P. "Feature Based Problems in Inverse Airfoil Design." In ASME 1996 Design Engineering Technical Conferences and Computers in Engineering Conference. American Society of Mechanical Engineers, 1996. http://dx.doi.org/10.1115/96-detc/dac-1492.

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Abstract A new approach to the design of optimal airfoil shapes is presented in the paper. This requires redefinition of airfoil geometry through Bezier parametric curves whose vertices are the design variables of the problem. A basic panel method incorporating an integral boundary layer development model provides the aerodynamic analysis necessary to solve the optimization problems in airfoil shapes. The optimization technique can be easily adapted to solve the inverse design problem of determining the airfoil geometry for a specified pressure distribution. In this paper it is shown how the inverse problem can be further extended to incorporate additional aerodynamic and geometric features that are important in determining useful airfoil shapes.
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du Toit, Pieter S., and Onno Ubbink. "Differences in the Heat Transfer at the Core-Reflector Boundary of the PBMR Due to the Use of Different Numerical Methods." In 17th International Conference on Nuclear Engineering. ASMEDC, 2009. http://dx.doi.org/10.1115/icone17-75156.

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The PBMR (Pebble Bed Modular Reactor) is a High-Temperature Gas-cooled Reactor (HTGR) concept. One of the exercises of the PBMR benchmark of the Organization for Economic Cooperation and Development (OECD) is a steady state two-dimensional (2D) thermal-hydraulics simulation of a simplified PBMR with prescribed heat sources. Two different programs were used to model this exercise. They predicted similar core temperatures but the side reflector temperatures next to the core differed by more than 30 °C (when using a relatively coarse mesh). The underlying methods define temperatures at either vertices (VC) or at mesh cell centres (CC). A study was undertaken using one-dimensional (1D) implementations of the VC and CC methods to model a horizontal slice through the core. This study revealed the root cause of the different predictions. A modified version of the 1D CC method was developed that essentially predicts the same temperatures as the VC method. The extension of the modified method to two dimensions is under investigation. If the difference in predicted temperatures next to the core can be eliminated or reduced, then the focus can shift to other differences between the results of the two programs.
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Liu, C. Y., W. R. Chen, and R. W. Mayne. "An Approach to Dynamic Distance Calculations for Obstacle Avoidance Problems." In ASME 1991 Design Technical Conferences. American Society of Mechanical Engineers, 1991. http://dx.doi.org/10.1115/detc1991-0165.

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Abstract This paper presents a distance calculation method which can be used in machine motion planning optimizations where interference is a concern. Dynamic distance calculations are discussed which use the quadratic programming method combined with an approximate swept volume approach. Distance-to-contact calculations can be obtained for both interference and non-interference situations. The swept volume of a moving polygon is constructed through a series of overlapped swept volume segments. Each of the swept volume segments is efficiently developed by checking the inner products of polygon outward boundary normals with velocity vectors for polygon vertices. Two dimensional examples of distance-to-contact computations and robot path planning problems are presented for a sample three link robot with three rotational joints.
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Foucault, Gilles, Jean-Claude Le´on, Jean-Christophe Cuillie`re, Vincent Franc¸ois, and Roland Maranzana. "A Topological Model for the Representation of Meshing Constraints in the Context of Finite Element Analysis." In ASME 2006 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2006. http://dx.doi.org/10.1115/detc2006-99280.

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The preparation of Finite Element analysis models (FE models) from Computer Aided Design (CAD) models is still a difficult task since its Boundary Representation (B-Rep) is often composed of a large number of thin faces, small edges, which are much smaller than the desired element size, and are not relevant for the meshing process. Such inconsistencies often cause poor-shaped FE elements, overdensities of elements, not only slowing down the computation of the FE solution, but also producing poor simulation results. In this paper, we present a “Mesh Constraint Topology” (MCT) model with adaptation operators aiming at transforming the CAD model in a FE model which only contains meshing-relevant edges and vertices, i.e. the explicit model of data intrinsic to the meshing process. Because the topology of faces adapted for meshing could contain interior edges, the MCT is represented with adjacency graphs instead of the B-Rep data-structure. We demonstrate how graphs provide efficient schemes to qualify interior and boundary entities, and facilitate the design of adaptation operators using high-level graph operators. Application and results are presented through adaptation issues of CAD models solved using MCT adaptation operators.
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Yin, Yue, and Lianshui Guo. "An Algorithm for Similar 3D Model Difference Examination Using Geometric Matching." In ASME 2018 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2018. http://dx.doi.org/10.1115/imece2018-86996.

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In this paper, a new algorithm for similar 3D CAD model difference examination based on geometric matching is presented. Firstly, using the boundary representation (B-rep) method, the two 3D models are decomposed into two sets of surfaces, each with an attributed adjacency graph (AAG) which is established using adjacency relationship of corresponding surfaces. The vertices of the AAG are set as the geometric information about surfaces (i.e. surface type, area). The edges of the AAG present the adjacency between surfaces, and the attribute information (i.e. the type and length of edges, the angle between two adjacent surfaces) is also stored in the AAG. Secondly, the surface similarity between two models is calculated according to their types, areas, composition edges and topological relationships. At the same time, the similarity matrix which stores the surface similarity coefficients is generated to find the geometric and topological optimal matching surfaces. Then, in the AAG, with the corresponding vertices of the optimal matching surface pair as the center, the remaining surfaces of two models are quickly and optimally matched according to the topological connections and similarity coefficients while the unmatchable ones are defined as added or deleted surfaces. Finally, differences between the two models are evaluated by analyzing and comparing the geometric attribute information about the matched surfaces. In order to validate the effectiveness and feasibility of the proposed algorithm, a software prototype for similar model difference examination has been developed. The effectiveness and feasibility of the algorithm have been verified by engineering applications through the industrial needs. The results show that this algorithm can effectively compare the differences among different design iterations and demonstrate its potentials for a wide range of engineering design iterations examination problems.
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Reports on the topic "BOUNDARY VERTICES"

1

Mahrt, L., and Dean Vickers. Contrasting Vertical Structures of the Stable Boundary Layer. Fort Belvoir, VA: Defense Technical Information Center, January 2002. http://dx.doi.org/10.21236/ada407324.

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Barr, S., D. O. ReVelle, C. Y. J. Kao, and E. K. Bigg. Data/model integration for vertical mixing in the stable Arctic boundary layer. Office of Scientific and Technical Information (OSTI), December 1998. http://dx.doi.org/10.2172/334240.

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3

Schiller, Brandon, Tara Hutchinson, and Kelly Cobeen. Cripple Wall Small-Component Test Program: Wet Specimens II (PEER-CEA Project). Pacific Earthquake Engineering Research Center, University of California, Berkeley, CA, November 2020. http://dx.doi.org/10.55461/ldbn4070.

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This report is one of a series of reports documenting the methods and findings of a multi-year, multi-disciplinary project coordinated by the Pacific Earthquake Engineering Research Center (PEER and funded by the California Earthquake Authority (CEA). The overall project is titled “Quantifying the Performance of Retrofit of Cripple Walls and Sill Anchorage in Single-Family Wood-Frame Buildings,” henceforth referred to as the “PEER–CEA Project.” The overall objective of the PEER–CEA Project is to provide scientifically based information (e.g., testing, analysis, and resulting loss models) that measure and assess the effectiveness of seismic retrofit to reduce the risk of damage and associated losses (repair costs) of wood-frame houses with cripple wall and sill anchorage deficiencies as well as retrofitted conditions that address those deficiencies. Tasks that support and inform the loss-modeling effort are: (1) collecting and summarizing existing information and results of previous research on the performance of wood-frame houses; (2) identifying construction features to characterize alternative variants of wood-frame houses; (3) characterizing earthquake hazard and ground motions at representative sites in California; (4) developing cyclic loading protocols and conducting laboratory tests of cripple wall panels, wood-frame wall subassemblies, and sill anchorages to measure and document their response (strength and stiffness) under cyclic loading; and (5) the computer modeling, simulations, and the development of loss models as informed by a workshop with claims adjustors. This report is a product of Working Group 4 (WG4): Testing, whose central focus was to experimentally investigate the seismic performance of retrofitted and existing cripple walls. This report focuses stucco or “wet” exterior finishes. Paralleled by a large-component test program conducted at the University of California, Berkeley (UC Berkeley) [Cobeen et al. 2020], the present study involves two of multiple phases of small-component tests conducted at the University of California San Diego (UC San Diego). Details representative of era-specific construction, specifically the most vulnerable pre-1960s construction, are of predominant focus in the present effort. Parameters examined are cripple wall height, finish style, gravity load, boundary conditions, anchorage, and deterioration. This report addresses the third phase of testing, which consisted of eight specimens, as well as half of the fourth phase of testing, which consisted of six specimens where three will be discussed. Although conducted in different phases, their results are combined here to co-locate observations regarding the behavior of the second phase the wet (stucco) finished specimens. The results of first phase of wet specimen tests were presented in Schiller et al. [2020(a)]. Experiments involved imposition of combined vertical loading and quasi-static reversed cyclic lateral load onto ten cripple walls of 12 ft long and 2 or 6 ft high. One cripple wall was tested with a monotonic loading protocol. All specimens in this report were constructed with the same boundary conditions on the top and corners of the walls as well as being tested with the same vertical load. Parameters addressed in this report include: wet exterior finishes (stucco over framing, stucco over horizontal lumber sheathing, and stucco over diagonal lumber sheathing), cripple wall height, loading protocol, anchorage condition, boundary condition at the bottom of the walls, and the retrofitted condition. Details of the test specimens, testing protocol, including instrumentation; and measured as well as physical observations are summarized in this report. Companion reports present phases of the tests considering, amongst other variables, impacts of various boundary conditions, stucco (wet) and non-stucco (dry) finishes, vertical load, cripple wall height, and anchorage condition. Results from these experiments are intended to support advancement of numerical modeling tools, which ultimately will inform seismic loss models capable of quantifying the reduction of loss achieved by applying state-of-practice retrofit methods as identified in FEMA P-1100,Vulnerability-Base Seismic Assessment and Retrofit of One- and Two-Family Dwellings.
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Savov, Plamen, Nikolay Kolev, Maya Vatzkicheva, Tsvetina Evgenieva, Danko Ivanov, and Petya Kaleyna. Relationship between the Urban Boundary Layer Height and the Vertical Distribution of PM Number and Mass Concentrations in Sofia Valley. "Prof. Marin Drinov" Publishing House of Bulgarian Academy of Sciences, October 2019. http://dx.doi.org/10.7546/crabs.2019.10.09.

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5

Schiller, Brandon, Tara Hutchinson, and Kelly Cobeen. Cripple Wall Small-Component Test Program: Dry Specimens (PEER-CEA Project). Pacific Earthquake Engineering Research Center, University of California, Berkeley, CA, November 2020. http://dx.doi.org/10.55461/vsjs5869.

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This report is one of a series of reports documenting the methods and findings of a multi-year, multi-disciplinary project coordinated by the Pacific Earthquake Engineering Research Center (PEER) and funded by the California Earthquake Authority (CEA). The overall project is titled “Quantifying the Performance of Retrofit of Cripple Walls and Sill Anchorage in Single-Family Wood-Frame Buildings,” henceforth referred to as the “PEER–CEA Project.” The overall objective of the PEER–CEA Project is to provide scientifically based information (e.g., testing, analysis, and resulting loss models) that measures and documents seismic performance of wood-frame houses with cripple wall and sill anchorage deficiencies as well as retrofitted conditions that address those deficiencies. Three primary tasks support the earthquake loss-modeling effort. They are: (1) the development of ground motions and loading protocols that accurately represent the diversity of seismic hazard in California; (2) the execution of a suite of quasi-static cyclic experiments to measure and document the performance of cripple wall and sill anchorage deficiencies to develop and populate loss models; and (3) nonlinear response history analysis on cripple wall-supported buildings and their components. This report is a product of Working Group 4: Testing, whose central focus was to experimentally investigate the seismic performance of retrofitted and existing cripple walls. This present report focuses on non-stucco or “dry” exterior finishes. Paralleled by a large-component test program conducted at the University of California, Berkeley (UC Berkeley) [Cobeen et al. 2020], the present report involves two of multiple phases of small-component tests conducted at University of California San Diego (UC San Diego). Details representative of era-specific construction–specifically the most vulnerable pre-1960s construction–are of predominant focus in the present effort. Parameters examined are cripple wall height, finish style, gravity load, boundary conditions, anchorage, and deterioration. This report addresses all eight specimens in the second phase of testing and three of the six specimens in the fourth phase of testing. Although conducted in different testing phases, their results are combined here to co-locate observations regarding the behavior of all dry finished specimens. Experiments involved imposition of combined vertical loading and quasi-static reversed cyclic lateral load onto eleven cripple walls. Each specimen was 12 ft in length and 2-ft or 6-ft in height. All specimens in this report were constructed with the same boundary conditions on the top, bottom, and corners of the walls. Parameters addressed in this report include: dry exterior finish type (shiplap horizontal lumber siding, shiplap horizontal lumber siding over diagonal lumber sheathing, and T1-11 wood structural panels), cripple wall height, vertical load, and the retrofitted condition. Details of the test specimens, testing protocol (including instrumentation), and measured as well as physical observations are summarized. Results from these experiments are intended to support advancement of numerical modeling tools, which ultimately will inform seismic loss models capable of quantifying the reduction of loss achieved by applying state-of-practice retrofit methods as identified in FEMA P-1100 Vulnerability-Base Seismic Assessment and Retrofit of One- and Two-Family Dwellings.
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Connell, Sean D. Geologic map of the Albuquerque - Rio Rancho metropolitan area and vicinity, Bernalillo and Sandoval counties, New Mexico. New Mexico Bureau of Geology and Mineral Resources, 2008. http://dx.doi.org/10.58799/gm-78.

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This is the most comprehensive compilation of the geology of the Albuquerque Basin to be printed in 30 years. The area covered by this new compilation, though not as large as the earlier map, is presented at a scale nearly four times the detail (1:50,000 scale compared to the earlier map's 1:190,000 scale). This new geologic map is a compilation of sixteen 7.5-min USGS quadrangle maps and encompasses an area from Tijeras Arroyo on the south to Santa Ana Mesa north of Santa Ana and San Felipe Pueblos, and from the crest of the Sandia Mountains westward across the Rio Grande and onto the Llano de Albuquerque (West Mesa) west of the city limits of Albuquerque and Rio Rancho.This geologic map graphically displays information on the distribution, character, orientation, and stratigraphic relationships of rock and surficial units and structural features. The map and accompanying cross sections were compiled from geologic field mapping and additionally from available aerial photography, satellite imagery, and drill-hole data (many published and unpublished reports, examination of lithologic cuttings, and from the interpretation of borehole geophysical log data).The map and accompanying cross sections represent the most informed interpretations of the known faults in the Albuquerque-Rio Rancho area that are presently available. In addition to the positions of many faults, the cross sections show the approximate vertical extent of poorly consolidated earth materials that may pose liquefaction hazards. This map also contains derivative maps selected to portray geologically important features in the metropolitan area, such as elevations of ground water levels, and the mostly buried boundary between generally poorly consolidated and saturated aquifer materials and the more consolidated underlying materials. The gravity anomaly map is a geophysical dataset that shows major geological structures buried beneath the metropolitan area and vicinity.
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7

Schiller, Brandon, Tara Hutchinson, and Kelly Cobeen. Cripple Wall Small-Component - Test Program: Comparisons (PEER-CEA Project). Pacific Earthquake Engineering Research Center, University of California, Berkeley, CA, November 2020. http://dx.doi.org/10.55461/lohh5109.

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This report is one of a series of reports documenting the methods and findings of a multi-year, multi-disciplinary project coordinated by the Pacific Earthquake Engineering Research Center (PEER) and funded by the California Earthquake Authority (CEA). The overall project is titled “Quantifying the Performance of Retrofit of Cripple Walls and Sill Anchorage in Single-Family Wood-Frame Buildings,” henceforth referred to as the “PEER–CEA Project.” The overall objective of the PEER–CEA Project is to provide scientifically based information (e.g., testing, analysis, and resulting loss models) that measure and assess the effectiveness of seismic retrofit to reduce the risk of damage and associated losses (repair costs) of wood-frame houses with cripple wall and sill anchorage deficiencies as well as retrofitted conditions that address those deficiencies. Tasks that support and inform the loss-modeling effort are: (1) collecting and summarizing existing information and results of previous research on the performance of wood-frame houses; (2) identifying construction features to characterize alternative variants of wood-frame houses; (3) characterizing earthquake hazard and ground motions at representative sites in California; (4) developing cyclic loading protocols and conducting laboratory tests of cripple wall panels, wood-frame wall subassemblies, and sill anchorages to measure and document their response (strength and stiffness) under cyclic loading; and (5) the computer modeling, simulations, and the development of loss models as informed by a workshop with claims adjustors. This report is a product of Working Group 4 (WG4): Testing, whose central focus was to experimentally investigate the seismic performance of retrofit and existing cripple walls. Amongst the body of reports from WG4, in the present report, a suite of four small cripple wall test phases, in total 28 specimens, are cross compared with varied exterior finishes, namely stucco (wet) and non-stucco (dry) exterior finishes. Details representative of era specific construction, specifically the most vulnerable pre-1960s construction are of predominant focus in the present effort. Experiments involved imposition of combined vertical loading and quasi-static reversed cyclic lateral load onto cripple walls of 12 ft in length and 2 ft or 6 ft in height. All specimens in this report were constructed with the same boundary conditions and tested with the same vertical load. Parameters addressed in this report include: wet exterior finishes (stucco over framing, stucco over horizontal lumber sheathing, and stucco over diagonal lumber sheathing); and dry exterior finishes (horizontal siding, horizontal siding over diagonal sheathing, and T1-11 wood structural panels) with attention towards cripple wall height and the retrofit condition. The present report provides only a brief overview of the test program and setup; whereas a series of three prior reports present results of test groupings nominally by exterior finish type (wet versus dry). As such, herein the focus is to cross compare key measurements and observations of the in-plane seismic behavior of all 28 specimens.
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8

Schiller, Brandon, Tara Hutchinson, and Kelly Cobeen. Comparison of the Response of Small- and Large-Component Cripple Wall Specimens Tested under Simulated Seismic Loading (PEER-CEA Project). Pacific Earthquake Engineering Research Center, University of California, Berkeley, CA, November 2020. http://dx.doi.org/10.55461/iyca1674.

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This report is one of a series of reports documenting the methods and findings of a multi-year, multi-disciplinary project coordinated by the Pacific Earthquake Engineering Research Center (PEER and funded by the California Earthquake Authority (CEA). The overall project is titled “Quantifying the Performance of Retrofit of Cripple Walls and Sill Anchorage in Single-Family Wood-Frame Buildings,” henceforth referred to as the “PEER–CEA Project.” The overall objective of the PEER–CEA Project is to provide scientifically based information (e.g., testing, analysis, and resulting loss models) that measure and assess the effectiveness of seismic retrofit to reduce the risk of damage and associated losses (repair costs) of wood-frame houses with cripple wall and sill anchorage deficiencies as well as retrofitted conditions that address those deficiencies. Tasks that support and inform the loss-modeling effort are: (1) collecting and summarizing existing information and results of previous research on the performance of wood-frame houses; (2) identifying construction features to characterize alternative variants of wood-frame houses; (3) characterizing earthquake hazard and ground motions at representative sites in California; (4) developing cyclic loading protocols and conducting laboratory tests of cripple wall panels, wood-frame wall subassemblies, and sill anchorages to measure and document their response (strength and stiffness) under cyclic loading; and (5) the computer modeling, simulations, and the development of loss models as informed by a workshop with claims adjustors. This report is a product of Working Group 4: Testing, whose central focus was to experimentally investigate the seismic performance of retrofitted and existing cripple walls. Two testing programs were conducted; the University of California, Berkeley (UC Berkeley) focused on large-component tests; and the University of California San Diego (UC San Diego) focused on small-component tests. The primary objectives of the tests were to develop descriptions of the load-deflection behavior of components and connections for use by Working Group 5 in developing numerical models and collect descriptions of damage at varying levels of drift for use by Working Group 6 in developing fragility functions. This report considers two large-component cripple wall tests performed at UC Berkeley and several small-component tests performed at UC San Diego that resembled the testing details of the large-component tests. Experiments involved imposition of combined vertical loading and quasi-static reversed cyclic lateral load on cripple wall assemblies. The details of the tests are representative of era-specific construction, specifically the most vulnerable pre-1945 construction. All cripple walls tested were 2 ft high and finished with stucco over horizontal lumber sheathing. Specimens were tested in both the retrofitted and unretrofitted condition. The large-component tests were constructed as three-dimensional components (with a 20-ft  4-ft floor plan) and included the cripple wall and a single-story superstructure above. The small-component tests were constructed as 12-ft-long two-dimensional components and included only the cripple wall. The pairing of small- and large-component tests was considered to make a direct comparison to determine the following: (1) how closely small-component specimen response could emulate the response of the large-component specimens; and (2) what boundary conditions in the small-component specimens led to the best match the response of the large-component specimens. The answers to these questions are intended to help identify best practices for the future design of cripple walls in residential housing, with particular interest in: (1) supporting the realistic design of small-component specimens that may capture the response large-component specimen response; and (2) to qualitatively determine where the small-component tests fall in the range of lower- to upper-bound estimation of strength and deformation capacity for the purposes of numerical modelling. Through these comparisons, the experiments will ultimately advance numerical modeling tools, which will in turn help generate seismic loss models capable of quantifying the reduction of loss achieved by applying state-of-practice retrofit methods as identified in FEMA P-1100Vulnerability-Base Seismic Assessment and Retrofit of One- and Two-Family Dwellings. To this end, details of the test specimens, measured as well as physical observations, and comparisons between the two test programs are summarized in this report.
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