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Relevant bibliographies by topics / Triangular splitting

Academic literature on the topic 'Triangular splitting'

Author: Grafiati

Published: 10 March 2023

Last updated: 11 March 2023

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Dissertations / Theses
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Journal articles on the topic "Triangular splitting"

1

Hahmann, Stefanie, and Georges-Pierre Bonneau. "Triangular G1 interpolation by 4-splitting domain triangles." Computer Aided Geometric Design 17, no. 8 (September 2000): 731–57. http://dx.doi.org/10.1016/s0167-8396(00)00021-2.

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Grosso, G., G. Pastori Parravicini, and C. Piermarocchi. "Valley splitting in triangular Si(001) quantum wells." Physical Review B 54, no. 23 (December 15, 1996): 16393–96. http://dx.doi.org/10.1103/physrevb.54.16393.

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Zhang, Ling, Xingyue Wang, Ang Li, Xingqun Zheng, Lishan Peng, Jiawei Huang, Zihua Deng, Hongmei Chen, and Zidong Wei. "Rational construction of macroporous CoFeP triangular plate arrays from bimetal–organic frameworks as high-performance overall water-splitting catalysts." Journal of Materials Chemistry A 7, no. 29 (2019): 17529–35. http://dx.doi.org/10.1039/c9ta05282h.

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Ridouane, El Hassan, and Antonio Campo. "Heightened Thermal Convection as a Result of Splitting a Square Cavity Diagonally in Half." Journal of Electronic Packaging 128, no. 3 (August 9, 2005): 251–58. http://dx.doi.org/10.1115/1.2229224.

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This investigation addresses the thermogeometric performance of a two-square cavity system contrasted against a two-isosceles triangular cavity system, with an exactly equal heating segment and comparable cooling segment. When one square cavity is cut diagonally in half, it results in a pair of isosceles triangular cavities. The isosceles triangular cavity on the left is heated from the left vertical wall, the top wall is insulated, and the inclined wall is cold; the so-called HIC triangular cavity. The isosceles triangular cavity on the right is heated from the right vertical wall, the bottom wall is insulated, and the inclined wall is cold; the so-called HCI triangular cavity. It may be speculated that the two-isosceles triangular cavity system may find application in the miniaturization of electronic packaging severely constrained by space and/or weight. The finite volume method, accounting for temperature-dependent thermophysical properties of air, is employed to perform the computational analysis. Representative height-based Rayleigh numbers assume values up to 106 to avoid oscillations that occur at a Rayleigh number between RaH=2×106 and 2.2×106. Numerical results are reported for the velocity field, the temperature field, and the local and the mean convective coefficient along the heated vertical wall. Under a dominant conduction condition for RaH=103, the heat flux across the derived two-isosceles triangular system is 334% higher than its counterpart across the original two-square system. In contrast, for a dominant convection condition for RaH=106, this margin diminishes to 20%, but still constitutes a significant improvement. For the design of two-triangular cavity systems, a NuH correlation equation has been constructed yielding a maximum error of 2% at RaH=104.

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BAKSHEYEV, D. G., A. A. BYKOV, V. A. TKACHENKO, O. A. TKACHENKO, L. V. LITVIN, A. V. LATYSHEV, A. L. ASEEV, O. ESTIBALS, and J. C. PORTAL. "COULOMB INTERACTION OF TRIANGULAR QUANTUM DOTS IN A SMALL RING INTERFEROMETER." International Journal of Nanoscience 02, no. 06 (December 2003): 495–503. http://dx.doi.org/10.1142/s0219581x03001607.

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Doublet splitting of single-electron peaks has been observed in the conductance of a small high-resistance ring interferometer. Realistic modeling of the device shows that the electron system of interferometer divides into two triangular quantum dots connected by single-mode channels to each other and to reservoirs. We explain the splitting of conductance peaks by charge interaction of the dots.

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Cowan, Richard. "A mosaic of triangular cells formed with sequential splitting rules." Journal of Applied Probability 41, A (2004): 3–15. http://dx.doi.org/10.1239/jap/1082552186.

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The iterative division of a triangle by chords which join a randomly-selected vertex of a triangle to the opposite side is investigated. Results on the limiting random graph which eventuates are given. Aspects studied are: the order of vertices; the fragmentation of chords; age distributions for elements of the graph; various topological characterisations of the triangles. Different sampling protocols are explored. Extensive use is made of the theory of branching processes.

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Kohler, A., G. H. M. Killesreiter, and R. Blümel. "Ray splitting in a class of chaotic triangular step billiards." Physical Review E 56, no. 3 (September 1, 1997): 2691–701. http://dx.doi.org/10.1103/physreve.56.2691.

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Cowan, Richard. "A mosaic of triangular cells formed with sequential splitting rules." Journal of Applied Probability 41, A (2004): 3–15. http://dx.doi.org/10.1017/s0021900200112161.

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The iterative division of a triangle by chords which join a randomly-selected vertex of a triangle to the opposite side is investigated. Results on the limiting random graph which eventuates are given. Aspects studied are: the order of vertices; the fragmentation of chords; age distributions for elements of the graph; various topological characterisations of the triangles. Different sampling protocols are explored. Extensive use is made of the theory of branching processes.

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9

Zheng, Qing-Qing, and Chang-Feng Ma. "A class of triangular splitting methods for saddle point problems." Journal of Computational and Applied Mathematics 298 (May 2016): 13–23. http://dx.doi.org/10.1016/j.cam.2015.11.026.

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Muratova, Galina, Tatiana Martynova, Evgeniya Andreeva, Vadim Bavin, and Zeng-Qi Wang. "Numerical Solution of the Navier–Stokes Equations Using Multigrid Methods with HSS-Based and STS-Based Smoothers." Symmetry 12, no. 2 (February 4, 2020): 233. http://dx.doi.org/10.3390/sym12020233.

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Multigrid methods (MGMs) are used for discretized systems of partial differential equations (PDEs) which arise from finite difference approximation of the incompressible Navier–Stokes equations. After discretization and linearization of the equations, systems of linear algebraic equations (SLAEs) with a strongly non-Hermitian matrix appear. Hermitian/skew-Hermitian splitting (HSS) and skew-Hermitian triangular splitting (STS) methods are considered as smoothers in the MGM for solving the SLAE. Numerical results for an algebraic multigrid (AMG) method with HSS-based smoothers are presented.

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More sources

Dissertations / Theses on the topic "Triangular splitting"

1

Liu, Zhenyi. "Triangular and Heegaard splittings." 2010. http://digital.library.okstate.edu/etd/LIU_okstate_0664D_10885.pdf.

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FRASCA, CACCIA GIANLUCA. "A new efficient implementation for HBVMs and their application to the semilinear wave equation." Doctoral thesis, 2015. http://hdl.handle.net/2158/992629.

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In this thesis we have provided a detailed description of the low-rank Runge-Kutta family of Hamiltonian Boundary Value Methods (HBVMs) for the numerical solution of Hamiltonian problems. In particular, we have studied in detail their main property: the conservation of polynomial Hamiltonians, which results into a practical conservation for generic suitably regular Hamiltonians. This property turns out to play a fundamental role in some problems where the error on the Hamiltonian, usually obtained even when using a symplectic method, would be not negligible to the point of affecting the dynamics of the numerical solution. The research developed in this thesis has addressed two main topics. The first one is a new procedure, based on a particular splitting of the matrix defining the method, which turns out to be more effective of the well-known blended-implementation, as well as of a classical fixed-point iteration when the problem at hand is stiff. This procedure has been applied also to second order problems with separable Hamiltonian function, resulting in a cheaper computational cost. The second topic addressed is the application of HBVMs for the full discretization of a method of lines approach to numerically solve Hamiltonian PDEs. In particular, we have considered the semilinear wave equation coupled with either periodic, Dirichlet or Neumann boundary conditions, and the application of a (practically) energy conserving HBVM method to the semi-discrete problem obtained by means of a second order finite-difference approximation in space. When the problem is coupled with periodic boundary conditions we have also considered the case of higher-order finite-difference spatial discretizations and the case when a Fourier-Galerkin method is used for the spatial semi-discretization. The proposed methods are able to provide a numerical solution such that the energy (which can be conserved or not, depending on the assigned boundary conditions) practically satisfies its prescribed variation in time. A few numerical tests for the sine-Gordon equation have given evidence that, for some problems, there is an effective advantage in using an energy-conserving method for the time integration, with respect to the use of a symplectic one. Moreover, even though HBVMs are implicit method, their computational cost for the considered problem turns out to be competitive even with respect to that of explicit solvers of the same order, which, furthermore, may suffer from stepsize restrictions due to stability reasons, whereas HBVMs are A-stable.

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Book chapters on the topic "Triangular splitting"

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Lyra, P. R. M., K. Morgan, and J. Peraire. "A High-Resolution Flux Splitting Scheme for the Solution of the Compressible Navier-Stokes Equations on Triangular Grids." In Numerical methods for the Navier-Stokes equations, 167–80. Wiesbaden: Vieweg+Teubner Verlag, 1994. http://dx.doi.org/10.1007/978-3-663-14007-8_17.

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Wang, X. Y., S. C. Chang, K. H. Kao, Ph Jorgenson, and C. Y. Chow. "A non-splitting unstructured-triangular-mesh euler solver based on the method of space-time conservation element & solution element." In Sixteenth International Conference on Numerical Methods in Fluid Dynamics, 97–102. Berlin, Heidelberg: Springer Berlin Heidelberg, 1998. http://dx.doi.org/10.1007/bfb0106568.

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Conference papers on the topic "Triangular splitting"

1

PAILLERE, H., H. DECONINCK, P. ROE, L. MESAROS, J. D. MUELLER, and R. STRUIJS. "Computations of inviscid compressible flows using fluctuation-splitting on triangular meshes." In 11th Computational Fluid Dynamics Conference. Reston, Virigina: American Institute of Aeronautics and Astronautics, 1993. http://dx.doi.org/10.2514/6.1993-3301.

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Wang, Jin, Changhe Zhou, Jianyong Ma, Yonghong Zong, Yancong Lu, and Wei Jia. "design and analysis of highly efficient reflective 1×3 splitting grating with triangular structure." In SPIE/COS Photonics Asia, edited by Yunlong Sheng, Chongxiu Yu, and Changhe Zhou. SPIE, 2016. http://dx.doi.org/10.1117/12.2245837.

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3

Xiong, Jin-Song. "Block Triangular Preconditioner Based on Accelerated AOR Splitting Method for Generalized Saddle Point Problem." In 2021 International Conference on Computer Information Science and Artificial Intelligence (CISAI). IEEE, 2021. http://dx.doi.org/10.1109/cisai54367.2021.00220.

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4

Choo, Benjamin M. F., and Mehrdad Zangeneh. "Development of an (Adaptive) Unstructured 2-D Inverse Design Method for Turbomachinery Blades." In ASME Turbo Expo 2002: Power for Land, Sea, and Air. ASMEDC, 2002. http://dx.doi.org/10.1115/gt2002-30620.

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An aerodynamics inverse design method for turbomachinery blades using fully (adaptive) unstructured meshes is presented. In this design method, the pressure loading (i.e. pressure jump across the blades) and thickness distribution are prescribed. The design method then computes the blade shape that would accomplish this loading. This inverse design method is implemented using a cell-centred finite volume method which solves the Euler equations on Delaunay unstructured triangular meshes using upwind flux vector splitting scheme. The analysis/direct Euler solver first is validated against some test cases of cascades flow. Computational grid and solution adaptation is performed to capture any flow behaviors such as shock waves using some error indicators. In the inverse design method, blade geometry is updated at the end of each design iteration process. A flexible and fast remeshing process based on a classical ‘spring’ methodology is adopted. An improved spring smoothing methodology for large changes of blades geometry is also presented. This flexible remeshing method can be used in designing a real blade (i.e. round leading and trailing edge) and also ‘fat’ turbine blades with blunt leading and trailing edge. The inverse design method using unstructured triangular meshes is validated by regeneration of a generic compressor rotor blade geometry subjected to a specified pressure loading and blade thickness. Finally, the method is applied to the design of the tip section of Nasa Rotor 67. The result shows that the design method is very useful in controlling shock waves.

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5

Roehl, C., and H. Simon. "Adaptive Unstructured Grids for Simulating Transsonic Flows in Turbomachinery." In ASME 1999 International Gas Turbine and Aeroengine Congress and Exhibition. American Society of Mechanical Engineers, 1999. http://dx.doi.org/10.1115/99-gt-213.

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A method for simulations of the two-dimensional compressible flow in aerodynamically highly loaded turbomachinery on unstructured adaptive grids is presented in this paper. The discretization of the conservative laws in space is executed by the finite volume method. For high efficiency an implicit solution procedure is used. The flux vector of the inviscid flow is calculated by a modified difference splitting method described by Reichert and Simon (1994). To predict the turbulent flow an explicit algebraic stress model in conjunction with k and ε equations is used (Lenke and Simon, 1997). Both for the generation of the initial grid as well as for the grid adaptation the same algorithm is used which is based on the advancing-front method according to Peraire et.al. (1987). For the simulation of high Reynoldsnumber flow within thermal turbomachinery it is most favorable to use quadrilateral elements in the boundary layers in addition to the triangular elements in the main flow region. To adapt the so-called combined grids, some kind of key variables are chosen, e.g. change in total pressure in combination with a shock detector.

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Andrews, Lester. "Matrix FTIR spectroscopy of transient species." In OSA Annual Meeting. Washington, D.C.: Optica Publishing Group, 1989. http://dx.doi.org/10.1364/oam.1989.wi1.

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Matrix studies featuring the FTIR instrumental advantages of resolution and sensitivity for a finite amount of time are described. Ammonia clusters have a complicated spectrum in the N–H stretching region. One antisymmetric and two symmetric stretching modes in the dimer verify an asymmetric cyclic dimer structure.1 Chlorine isotopic splittings have been resolved for the four H/D substituted (HC1)3 species, which confirm the cluster stoichiometry and triangular structure.2 The ammonia/hydrogen cyanide system reveals 1:1 and 1:2 complexes, which are identified from their FTIR spectra and characterized by comparison to similar complexes.3 The ozone/hydrogen fluoride system gives the O3–HF complex, and mixed oxygen isotopic spectra show inequivalent terminal oxygen atoms.4 The symmetrical PH3–O3 complex photolyzes to give an asymmetric HOPO2 species based on mixed isotopic spectra.5

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