Bibliographies thématiques / Non-linear geometry

Littérature scientifique sur le sujet « Non-linear geometry »

Auteur : Grafiati

Publié le 8 juin 2024

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Articles de revues sur le sujet "Non-linear geometry"

Mourad, J. « Linear connections in non-commutative geometry ». Classical and Quantum Gravity 12, n^o 4 (1 avril 1995) : 965–74. http://dx.doi.org/10.1088/0264-9381/12/4/007.

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BANKS, S. P. « On non-linear systems and algebraic geometry ». International Journal of Control 42, n^o 2 (août 1985) : 333–52. http://dx.doi.org/10.1080/00207178508933367.

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Panchuk, K. L., et T. M. Myasoyedova. « The surface of non-linear rotation ». Omsk Scientific Bulletin, n^o 188 (2023) : 5–12. http://dx.doi.org/10.25206/1813-8225-2023-188-5-12.

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The paper considers a geometric scheme, a mathematical model and an algorithm for shaping a non-linear rotation surface. It is known that in Euclidean geometry and mechanics the transformation of rotation is linear, while distance and angle are its invariants. The authors proposed a geometric scheme of non-linear rotation, in which the axis of rotation is a smooth spatial curve and the object of rotation is a smooth line. Several propositions, a lemma and a theorem are proved, which allow one to form the initial data in the problem of nonlinear rotation, the solution of which is the parametric equations of smooth surfaces. The research results make it possible to expand the variety of cyclic surfaces in the existing classification of analytic surfaces. They can also be useful in the creation of CAD, which provides for the design of surface forms of products for mechanical engineering, construction, architecture and other practical areas based on cyclic surfaces.

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Ettinger, B., N. Sarig et Y. Yomdin. « Linear versus Non-Linear Acquisition of Step-Functions ». Journal of Geometric Analysis 18, n^o 2 (4 mars 2008) : 369–99. http://dx.doi.org/10.1007/s12220-008-9016-0.

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Samovol, V. S. « Power Geometry of a Non-Linear Differential Equation ». Moscow Mathematical Journal 18, n^o 2 (2018) : 387–402. http://dx.doi.org/10.17323/1609-4514-2018-18-2-387-402.

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Destuynder, Philippe, et Michel Salaün. « Approximation of shell geometry for non-linear analysis ». Computer Methods in Applied Mechanics and Engineering 152, n^o 3-4 (janvier 1998) : 393–430. http://dx.doi.org/10.1016/s0045-7825(97)00040-6.

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Nojima, Kôichirô. « Non-Linear Sigma Model in Semi-Infinite Geometry ». Journal of the Physical Society of Japan 58, n^o 5 (15 mai 1989) : 1862–63. http://dx.doi.org/10.1143/jpsj.58.1862.

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Ragozini, Giancarlo. « A computational geometry approach for linear and non linear discriminant analysis ». Computational Statistics 15, n^o 1 (mars 2000) : 115–25. http://dx.doi.org/10.1007/s001800050042.

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Chu, Jianchun, et Nicholas McCleerey. « Fully non-linear degenerate elliptic equations in complex geometry ». Journal of Functional Analysis 281, n^o 9 (novembre 2021) : 109176. http://dx.doi.org/10.1016/j.jfa.2021.109176.

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Brooke, John M., et David Moss. « Non-linear dynamos in torus geometry : transition to chaos ». Monthly Notices of the Royal Astronomical Society 266, n^o 3 (février 1994) : 733–39. http://dx.doi.org/10.1093/mnras/266.3.733.

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Thèses sur le sujet "Non-linear geometry"

Luo, Ye. « Linear systems on metric graphs and some applications to tropical geometry and non-archimedean geometry ». Diss., Georgia Institute of Technology, 2014. http://hdl.handle.net/1853/52323.

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The divisor theories on finite graphs and metric graphs were introduced systematically as analogues to the divisor theory on algebraic curves, and all these theories are deeply connected to each other via tropical geometry and non-archimedean geometry. In particular, rational functions, divisors and linear systems on algebraic curves can be specialized to those on finite graphs and metric graphs. Important results and interesting problems, including a graph-theoretic Riemann-Roch theorem, tropical proofs of conventional Brill-Noether theorem and Gieseker-Petri theorem, limit linear series on metrized complexes, and relations among moduli spaces of algebraic curves, non-archimedean analytic curves, and metric graphs are discovered or under intense investigations. The content in this thesis is divided into three main subjects, all of which are based on my research and are essentially related to the divisor theory of linear systems on metric graphs and its application to tropical geometry and non-archimedean geometry. Chapter 1 gives an overview of the background and a general introduction of the main results. Chapter 2 is on the theory of rank-determining sets, which are subsets of a metric graph that can be used for the computation of the rank function. A general criterion is provided for rank-determining sets and certain specific examples of finite rank-determining sets are presented. Chapter 3 is on the subject of a tropical convexity theory on linear systems on metric graphs. In particular, the notion of general reduced divisors is introduced as the main tool used to study this tropical convexity theory. Chapter 4 is on the subject of smoothing of limit linear series of rank one on re_ned metrized complexes. A general criterion for smoothable limit linear series of rank 1 is presented and the relations between limit linear series of rank 1 and possible harmonic morphisms to genus 0 metrized complexes are studied.

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Li, Siran. « Analysis of several non-linear PDEs in fluid mechanics and differential geometry ». Thesis, University of Oxford, 2017. https://ora.ox.ac.uk/objects/uuid:20866cbb-e5ab-4a6b-b9dc-88a247d15572.

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In the thesis we investigate two problems on Partial Differential Equations (PDEs) in differential geometry and fluid mechanics. First, we prove the weak L^p continuity of the Gauss-Codazzi-Ricci (GCR) equations, which serve as a compatibility condition for the isometric immersions of Riemannian and semi-Riemannian manifolds. Our arguments, based on the generalised compensated compactness theorems established via functional and micro-local analytic methods, are intrinsic and global. Second, we prove the vanishing viscosity limit of an incompressible fluid in three-dimensional smooth, curved domains, with the kinematic and Navier boundary conditions. It is shown that the strong solution of the Navier-Stokes equation in H^r+1 (r > 5/2) converges to the strong solution of the Euler equation with the kinematic boundary condition in H^r, as the viscosity tends to zero. For the proof, we derive energy estimates using the special geometric structure of the Navier boundary conditions; in particular, the second fundamental form of the fluid boundary and the vorticity thereon play a crucial role. In these projects we emphasise the linkages between the techniques in differential geometry and mathematical hydrodynamics.

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Le, Gros Brian Neil. « Three-dimensional, non-linear finite element analysis, and elastic modulus optimization of a geometry for a non-metallic femoral stem ». Thesis, National Library of Canada = Bibliothèque nationale du Canada, 2002. http://www.collectionscanada.ca/obj/s4/f2/dsk3/ftp05/MQ65632.pdf.

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Ody, Michael S. « The (2+1)-dimensional non-linear O(3) sigma model and the classical differential geometry of curves and surfaces ». Thesis, University of Kent, 1993. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.358169.

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Zois, Ioannis. « The duality between two-index potentials and the non-linear sigma model in field theory ». Thesis, University of Oxford, 1996. http://ora.ox.ac.uk/objects/uuid:c350f73e-5e44-4942-8674-4321f5075b1e.

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We interpret the generalised gauge symmetry introduced in string theory and M-Theory as a special case of Grothendieck's stability equivalence relation in the definition of the 0th K-group and we calculate the Euler number of the elliptic de Rham complex twisted by a flat connection. Then using Polyakov's classical equivalence of flat bundles with non-linear sigma models we define a new topological invariant for foliations using techniques from noncommutative geometry, in particular the Connes' pairing between K-Theory and cyclic cohomology. This new invariant classifies foliations up to Morita equivalence.

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Cabrera, Carnero Iraida [UNESP]. « Modelos integráveis multicarregados e integrabilidade no plano não comutativo ». Universidade Estadual Paulista (UNESP), 2003. http://hdl.handle.net/11449/102515.

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Made available in DSpace on 2014-06-11T19:32:10Z (GMT). No. of bitstreams: 0 Previous issue date: 2003-02Bitstream added on 2014-06-13T20:23:07Z : No. of bitstreams: 1 cabreracarnero_i_dr_ift.pdf: 1015322 bytes, checksum: 915c6683e6c1c022f54ca1d9f5a03904 (MD5)
Nesta fase construísmo e estudamos uma nova classe de modelos integráveis (relativístico e não relativístico) em duas dimensões, associados à álgebra afim 'A IND.3 POT.(1)'. Estes modelos apresentam sólitons tipológicos os quais portam duas cargas elétricas U(1) X U(1). O modelo de Toda afim (relativístico) é construído a partir do modelo WZNW mediante a calibração da ação Swznw e corresponde ao primeiro membro de grau negativo q = -1 de uma hierarquia de modelos cKP do tipo dyon. O modelo mais simples não relativístico dentro desta hierarquia corresponde ao grau q = 2 positivo. As soluções de 1-sóliton para ambos modelos foram construídas e relações explícitas entre ambas soluções (assim como entre as cargas conservadas) foram encontradas. Outro modelo integrável com simetrias não abelianas locais SL(2) X U(1) é introduzido. Numa aproximação à integrabilidade em espaços não-comutativos estudamos generalizações não comutativas no plano dos modelos integráveis bidimensionais sine-, sinh-Gordon e U(N) Quiral Principal. Calculando a amplitude de espalhamento à nível de árvore de um processo de produção de partículas provamos que a versão não-comutativa do modelo de sinh-Gordon que se obtém mediante a deformação Moyal da respectiva ação não é integrável. Por outro lado, a incorporação de vínculos adicionais que são obtidos a partir da generalização da condição de curvatura nula, tornam o modelo integrável. O modelo Quiral Principal generalizado a partir da deformação Moyal da ação, preserva a sua integrabilidade, ao contrário dos modelos sinh-Gordon e sine-Gordon.
In this thesis we have constructed and studied a new class of two-dimensional integrable models (relativistic and nonrelativistic), related to the affine algebra 'A IND.3 POT.(1)'. These models admit U(1) X U(1) charged topological solitons. The affine Toda relativistic model is constructed from the gauged WZNW action and corresponds to the first negative grade q = -1 member of a dyonic hierarchy of cKP models. The simplest nonrelativistic model corresponds to the positive grade q = 2 of this hierarchy. The 1-soliton solutions for both models were constructed and explicit relations between them (and the conserved charges as well) were found. Another integrable model with local nonabelian SL(2) X U(1) simetries is introduced. In the context of integrability on noncommutative spaces, we have studied noncommutative generalizations on the plane of the two-dimensional integrable models sine-, sinh-Gordon and U(N) Principal Quiral. By computing for the sinh-Gordon model, the tree-level amplitude of a process of production of particles, we proved that the noncommutative generalization of this model that it is obtained by the Moyal deformation of the corresponding action is not integrable. On the other hand, the addition of extra constraints, obtained by the generalization of the zero-curvature method, renders the integrability of the model. The generalization of the Principal Quiral model by the Moyal deformation of the action preserves the integrability, contrary to the previous case

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Göteman, Malin. « The Complex World of Superstrings : On Semichiral Sigma Models and N=(4,4) Supersymmetry ». Doctoral thesis, Uppsala universitet, Teoretisk fysik, 2012. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-183407.

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Non-linear sigma models with extended supersymmetry have constrained target space geometries, and can serve as effective tools for investigating and constructing new geometries. Analyzing the geometrical and topological properties of sigma models is necessary to understand the underlying structures of string theory. The most general two-dimensional sigma model with manifest N=(2,2) supersymmetry can be parametrized by chiral, twisted chiral and semichiral superfields. In the research presented in this thesis, N=(4,4) (twisted) supersymmetry is constructed for a semichiral sigma model. It is found that the model can only have additional supersymmetry off-shell if the target space has a dimension larger than four. For four-dimensional target manifolds, supersymmetry can be introduced on-shell, leading to a hyperkähler manifold, or pseudo-supersymmetry can be imposed off-shell, implying a target space which is neutral hyperkähler. Different sigma models and corresponding geometries can be related to each other by T-duality, obtained by gauging isometries of the Lagrangian. The semichiral vector multiplet and the large vector multiplet are needed for gauging isometries mixing semichiral superfields, and chiral and twisted chiral superfields, respectively. We find transformations that close off-shell to a N=(4,4) supersymmetry on the field strengths and gauge potentials of the semichiral vector multiplet, and show that this is not possible for the large vector multiplet. A sigma model parametrized by chiral and twisted chiral superfields can be related to a semichiral sigma model by T-duality. The N=(4,4) supersymmetry transformations of the former model are linear and close off-shell, whereas those of the latter are non-linear and close only on-shell. We show that this discrepancy can be understood from T-duality, and find the origin of the non-linear terms in the transformations.

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Bredthauer, Andreas. « Tensionless Strings and Supersymmetric Sigma Models : Aspects of the Target Space Geometry ». Doctoral thesis, Uppsala : Acta Universitatis Upsaliensis, 2006. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-7105.

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Cabrera, Carnero Iraida. « Modelos integráveis multicarregados e integrabilidade no plano não comutativo / ». São Paulo : [s.n.], 2003. http://hdl.handle.net/11449/102515.

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Orientador: José Francisco Gomes
Banca: Galen Mihaylov Sotkov
Banca: Abraham Hirsz Zimerman
Banca: Paulo Teotônio Sobrinho
Banca: Márcio José Martins
Resumo: Nesta fase construísmo e estudamos uma nova classe de modelos integráveis (relativístico e não relativístico) em duas dimensões, associados à álgebra afim 'A IND.3 POT.(1)'. Estes modelos apresentam sólitons tipológicos os quais portam duas cargas elétricas U(1) X U(1). O modelo de Toda afim (relativístico) é construído a partir do modelo WZNW mediante a calibração da ação Swznw e corresponde ao primeiro membro de grau negativo q = -1 de uma hierarquia de modelos cKP do tipo dyon. O modelo mais simples não relativístico dentro desta hierarquia corresponde ao grau q = 2 positivo. As soluções de 1-sóliton para ambos modelos foram construídas e relações explícitas entre ambas soluções (assim como entre as cargas conservadas) foram encontradas. Outro modelo integrável com simetrias não abelianas locais SL(2) X U(1) é introduzido. Numa aproximação à integrabilidade em espaços não-comutativos estudamos generalizações não comutativas no plano dos modelos integráveis bidimensionais sine-, sinh-Gordon e U(N) Quiral Principal. Calculando a amplitude de espalhamento à nível de árvore de um processo de produção de partículas provamos que a versão não-comutativa do modelo de sinh-Gordon que se obtém mediante a deformação Moyal da respectiva ação não é integrável. Por outro lado, a incorporação de vínculos adicionais que são obtidos a partir da generalização da condição de curvatura nula, tornam o modelo integrável. O modelo Quiral Principal generalizado a partir da deformação Moyal da ação, preserva a sua integrabilidade, ao contrário dos modelos sinh-Gordon e sine-Gordon.
Abstract: In this thesis we have constructed and studied a new class of two-dimensional integrable models (relativistic and nonrelativistic), related to the affine algebra 'A IND.3 POT.(1)'. These models admit U(1) X U(1) charged topological solitons. The affine Toda relativistic model is constructed from the gauged WZNW action and corresponds to the first negative grade q = -1 member of a dyonic hierarchy of cKP models. The simplest nonrelativistic model corresponds to the positive grade q = 2 of this hierarchy. The 1-soliton solutions for both models were constructed and explicit relations between them (and the conserved charges as well) were found. Another integrable model with local nonabelian SL(2) X U(1) simetries is introduced. In the context of integrability on noncommutative spaces, we have studied noncommutative generalizations on the plane of the two-dimensional integrable models sine-, sinh-Gordon and U(N) Principal Quiral. By computing for the sinh-Gordon model, the tree-level amplitude of a process of production of particles, we proved that the noncommutative generalization of this model that it is obtained by the Moyal deformation of the corresponding action is not integrable. On the other hand, the addition of extra constraints, obtained by the generalization of the zero-curvature method, renders the integrability of the model. The generalization of the Principal Quiral model by the Moyal deformation of the action preserves the integrability, contrary to the previous case
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Peñaranda, Luis. « Géométrie algorithmique non linéaire et courbes algébriques planaires ». Electronic Thesis or Diss., Nancy 2, 2010. http://www.theses.fr/2010NAN23002.

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Nous abordons dans cette thèse le problème du calcul de la topologie de courbes algébriques planes. Nous présentons un algorithme qui, grâce à l’application d’outils algébriques comme les bases de Gröbner et les représentations rationnelles univariées, ne nécessite pas de traitement particulier de cas dégénérés. Nous avons implanté cet algorithme et démontré son efficacité par un ensemble de comparaisons avec les logiciels similaires. Nous présentons également une analyse de complexité sensible a la sortie de cet algorithme. Nous discutons ensuite des outils nécessaires pour l’implantation d’algorithmes de géométrie non-linéaire dans CGAL, la bibliothèque de référence de la communauté de géométrie algorithmique. Nous présentons un noyau univarié pour CGAL, un ensemble de fonctions nécessaires pour le traitement d’objets courbes déﬁnis par des polynômes univariés. Nous avons validé notre approche en la comparant avec les implantations similaires
We tackle in this thesis the problem of computing the topology of plane algebraic curves. We present an algorithm that avoids special treatment of degenerate cases, based on algebraic tools such as Gröbner bases and rational univariate representations. We implemented this algorithm and showed its performance by comparing to simi- lar existing programs. We also present an output-sensitive complexity analysis of this algorithm. We then discuss the tools that are necessary for the implementation of non- linear geometric algorithms in CGAL, the reference library in the computational geom- etry community. We present an univariate algebraic kernel for CGAL, a set of functions aimed to handle curved objects deﬁned by univariate polynomials. We validated our approach by comparing it to other similar implementations

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Livres sur le sujet "Non-linear geometry"

Teunissen, P. J. G. The geometry of geodetic inverse linear mapping and non-linear adjustment. Delft, The Netherlands : Rijkscommissie voor geodesie, 1985.

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Seidel, J. J. Geometry and combinatorics : Selected works of J.J. Seidel. Boston : Academic Press, 1991.

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Artin, Emil. Algèbre géométrique. Paris : Editions Jacques Gabay, 1996.

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Faulkner, John R. The role of nonassociative algebra in projective geometry. Providence, Rhode Island : American Mathematical Society, 2014.

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Maclagan, Diane. Introduction to tropical geometry. Providence, Rhode Island : American Mathematical Society, 2015.

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Iwaniec, Tadeusz. Geometric function theory and non-linear analysis. Oxford : Clarendon, 2001.

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1944-, Morozov Albert D., dir. Invariant sets for Windows. Singapore : World Scientific, 1999.

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Workshop, in Astronomy and Astrophysics of Chamonix (3rd 1993 Chamonix France). An introduction to methods of complex analysis and geometry for classical mechanics and non-linear waves : Proceedings of the third Workshop in Astronomy and Astrophysics of Chamonix (France), 1st-06 February 1993. Gif-sur-Yvette, France : Editions Frontières, 1994.

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Ivanova, Jordanka, et Franco Pastrone. Geometric Method for Stability of Non-Linear Elastic Thin Shells. Boston, MA : Springer US, 2002. http://dx.doi.org/10.1007/978-1-4615-1511-1.

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Ivanova, Jordanka. Geometric method for stability of non-linear elastic thin shells. Boston : Kluwer Academic Publishers, 2002.

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Chapitres de livres sur le sujet "Non-linear geometry"

Sabin, Malcolm. « Non-linear Conditions ». Dans Geometry and Computing, 147–53. Berlin, Heidelberg : Springer Berlin Heidelberg, 2010. http://dx.doi.org/10.1007/978-3-642-13648-1_26.

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Joswig, Michael, et Thorsten Theobald. « Applications of Non-linear Computational Geometry ». Dans Universitext, 209–22. London : Springer London, 2013. http://dx.doi.org/10.1007/978-1-4471-4817-3_13.

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Glazman, Roman E. « Fractal Nature of Surface Geometry in a Developed Sea ». Dans Non-Linear Variability in Geophysics, 217–26. Dordrecht : Springer Netherlands, 1991. http://dx.doi.org/10.1007/978-94-009-2147-4_15.

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Browder, Felix E. « Normal Solvability for Nonlinear Mappings and the Geometry of Banach Spaces ». Dans Problems in Non-Linear Analysis, 37–66. Berlin, Heidelberg : Springer Berlin Heidelberg, 2010. http://dx.doi.org/10.1007/978-3-642-10998-0_3.

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Linh, Troung Kieu, et Atsushi Imiya. « Discrete Linear Geometry on Non-square Grid ». Dans Communications in Computer and Information Science, 219–32. Cham : Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-72073-5_17.

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Bahri, A., et H. Brezis. « Non-Linear Elliptic Equations on Riemannian Manifolds with the Sobolev Critical Exponent ». Dans Topics in Geometry, 1–100. Boston, MA : Birkhäuser Boston, 1996. http://dx.doi.org/10.1007/978-1-4612-2432-7_1.

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De León, M., J. C. Marrero et D. Martin De Diego. « Time-Dependent Mechanical Systems With Non-Linear Constraints ». Dans New Developments in Differential Geometry, Budapest 1996, 221–34. Dordrecht : Springer Netherlands, 1999. http://dx.doi.org/10.1007/978-94-011-5276-1_15.

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Armstrong, John, et Damiano Brigo. « Extrinsic Projection of Itô SDEs on Submanifolds with Applications to Non-linear Filtering ». Dans Computational Information Geometry, 101–20. Cham : Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-47058-0_5.

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Buchberger, Bruno. « Applications of Gröbner bases in non-linear computational geometry ». Dans Trends in Computer Algebra, 52–80. Berlin, Heidelberg : Springer Berlin Heidelberg, 1988. http://dx.doi.org/10.1007/3-540-18928-9_5.

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Buchberger, Bruno. « Applications of Gröbner Bases in Non-Linear Computational Geometry ». Dans Mathematical Aspects of Scientific Software, 59–87. New York, NY : Springer New York, 1988. http://dx.doi.org/10.1007/978-1-4684-7074-1_3.

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Actes de conférences sur le sujet "Non-linear geometry"

Kunzinger, M. « Recent progress in special Colombeau algebras : geometry, topology, and algebra ». Dans Linear and Non-Linear Theory of Generalized Functions and its Applications. Warsaw : Institute of Mathematics Polish Academy of Sciences, 2010. http://dx.doi.org/10.4064/bc88-0-14.

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Burton, D. A., H. Wen, Carlos Herdeiro et Roger Picken. « Non-linear electrostatic waves in Born-Infeld plasmas ». Dans XIX INTERNATIONAL FALL WORKSHOP ON GEOMETRY AND PHYSICS. AIP, 2011. http://dx.doi.org/10.1063/1.3599131.

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Buchberger, B. « Algebraic methods for non-linear computational geometry (invited address) ». Dans the fourth annual symposium. New York, New York, USA : ACM Press, 1988. http://dx.doi.org/10.1145/73393.73402.

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LEIFER, Peter. « THE RELATIVISTIC NON-LINEAR QUANTUM DYNAMICS FROM THE ℂPN–1 GEOMETRY ». Dans Proceedings of the 3rd International Colloquium on Differential Geometry and Its Related Fields. WORLD SCIENTIFIC, 2013. http://dx.doi.org/10.1142/9789814541817_0005.

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Jia, Peirong, Jonathan Kofman, Chad English et Adam Deslauriers. « Comparison of linear and non-linear calibration methods for phase-shifting surface-geometry measurement ». Dans Optomechatronic Technologies 2005, sous la direction de Kazuhiko Sumi. SPIE, 2005. http://dx.doi.org/10.1117/12.649016.

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Mereu, Riccardo, Emanuela Colombo et Fabio Inzoli. « Non Linear Eddy Viscosity Model Applied to U-Bend Industrial Geometry ». Dans ASME 2009 International Mechanical Engineering Congress and Exposition. ASMEDC, 2009. http://dx.doi.org/10.1115/imece2009-11673.

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The use of numerical approach to support design and product development on industrial applications is nowadays quite widespread. Many industrial applications involve turbulent fluid flows, whose modeling still represents the bottleneck for a wider usage of numerical methods. Indeed, the application of the CFD approach to industrial problem has a number of high demanding requirements since it must deal with relatively short computational time, high geometrical complexity and high Reynolds numbers. These industrial constrains nowadays may be partially faced through RANS approach even if poor capability in predicting accurately the fluid dynamics of complex flows still represents their well known weakness. The aim of this work is to provide a model able to improve the prediction of the flow field in complex flows of industrial interest, with special attention to the presence of strong curvature. Therefore, in order to obtain an increase in the accuracy of the results compared with traditional k-ε models, the implementation of a two-equation Non Linear Eddy Viscosity Model (NLEVM) is proposed. The quadratic formulation of this model has already been validated by experimental and DNS data from literature. In the present work the cubic formulation of this model is applied to a strong-curve-geometry of industrial interest. The data are obtained through an experimental facility developed by the CFDLab of the Department of Energy at Politecnico di Milano. The measures are taken in cooperation with the Combustion and Optical Diagnostic Laboratory research group. The comparison between experimental and numerical data is carried out downstream a strong curvature by looking at mean axial velocity profiles and reattachment point prediction.

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Soldatenkov, A. P., E. V. Naidenkin, S. V. Panin, A. A. Shanyavsky, I. P. Mishin, A. V. Eremin et A. A. Bogdanov. « Fatigue Strength of Deformed Titanium Alloy VT22 for Different Sample Geometry and Loading Frequency ». Dans Physical Mesomechanics of Materials. Physical Principles of Multi-Layer Structure Forming and Mechanisms of Non-Linear Behavior. Novosibirsk State University, 2022. http://dx.doi.org/10.25205/978-5-4437-1353-3-122.

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Liu, Yan, Paul G. Tucker, Alex Jouvray et Peter W. Carpenter. « COMPUTATION OF A NON-ISOTHERMAL COMPLEX GEOMETRY FLOW USING NON-LINEAR URANS AND ZONAL LES MODELLING ». Dans Third Symposium on Turbulence and Shear Flow Phenomena. Connecticut : Begellhouse, 2003. http://dx.doi.org/10.1615/tsfp3.150.

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Usman, Asad A., et Mohammad Usman. « Determination of Geometric Distortions in Automotive Lamps Using Non-Linear Parametric Estimations ». Dans ASME 2002 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2002. http://dx.doi.org/10.1115/detc2002/dac-34071.

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In automotive lamps, an ideal paraboloid is the reflector shape of choice when lens optics is utilized. However, geometric distortions occur among manufactured automotive lamps. This paper discusses the effects of geometric distortions on spread, packing, and gradient of reflected light from automotive lamps. Relevant legal requirements set by Federal Motor Vehicle Safety Standard on the performance of automotive lamps are also discussed. A new parametric mathematical model is developed to represent the geometry of an ideal lamp reflector. A non-linear parametric estimation problem is formulated using the Box-Kanemasu modification of the Gauss method. An application of methodology is also presented in this paper. The results show significant distortions of paraboloidal reflector with respect to the ideal design-intent reflector geometry. The numerically calculated deviations of focal point, focal length and paraboloidal axis from the ideally designed reflector necessitate improvements in the tooling and the manufacturing process for better dimensional control.

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Manjeet, Keshav, et Chandra Mohan Sujatha. « Modeling and Optimization of Non-Linear Herschel-Bulkley Fluid Model Based Magnetorheological Valve Geometry ». Dans 2018 IEEE/ASME International Conference on Advanced Intelligent Mechatronics (AIM). IEEE, 2018. http://dx.doi.org/10.1109/aim.2018.8452342.

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Rapports d'organisations sur le sujet "Non-linear geometry"

Chauhan, Vinod. L52294 Corrosion Assessment Guidance for High Strength Steels. Chantilly, Virginia : Pipeline Research Council International, Inc. (PRCI), août 2009. http://dx.doi.org/10.55274/r0010319.

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For the burst tests on high strength line pipe investigated in this report, standard assessment methods used by the pipeline industry generally give conservative failure predictions. For a small number of test points the ASME B31G, Modified ASME B31G and the LPC-1 methods gave non-conservative failure predictions when used to assess defect depths greater than 50% of the pipe wall. However, for machined defects, particularly those that are rectangular flat bottomed patches the use of ASME B31G and Modified ASME B31G to predict failure pressures may be inappropriate because the area of metal loss can be underestimated. Therefore the results need to be treatedwith caution. The RSTRENG method is the most reliable and conservative method forpredicting the failure pressure of corroded pipelines. RSTRENG predicts conservative failure pressures for defect depths up to 80% of the pipe wall in line pipe of strength grades up to X100. Modifying the flow stress to equal the arithmetic mean of the specified minimum yield strength and the ultimate tensile strength adds conservatism tothe calculated failure predictions. The non-linear FE method gives failure predictions within a scatter band of ~�10%, although in a number of cases the failure predictions are nonconservative. This level of scatter is typical. More accurate modeling of the geometry and material properties, to take into account of any through wall variation, should reduce the observed scatter.

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Bayless, Jeff, et Norman Abrahamson. An Empirical Model for Fourier Amplitude Spectra using the NGA-West2 Database. Pacific Earthquake Engineering Research Center, University of California, Berkeley, CA, décembre 2018. http://dx.doi.org/10.55461/cfhs8430.

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An empirical ground-motion model (GMM) for shallow crustal earthquakes in California and Nevada based on the NGA-West2 database [Ancheta et al. 2014] is presented. Rather than the traditional response spectrum GMM, this model is developed for the smoothed effective amplitude spectrum (EAS) as defined by PEER [Goulet et al. 2018]. The EAS is the orientation- independent horizontal component Fourier amplitude spectrum (FAS) of ground acceleration. The model is developed using a database dominated by California earthquakes, but takes advantage of crustal earthquake data worldwide to constrain the magnitude scaling and geometric spreading. The near-fault saturation is guided by finite-fault numerical simulations and non-linear site amplification is incorporated using a modified version of Hashash et al. [2018]. The model is applicable for rupture distances of 0–300 km, M 3.0 – 8.0, and over the frequency range 0.1–100 Hz. The model is considered applicable for Vs30 in the range 180–1500 m/sec, although it is not well constrained for Vs30 values greater than 1000 m/sec. Models for the median and the aleatory variability of the EAS are developed. Regional models for Japan and Taiwan will be developed in a future update of the model. A MATLAB program that implements the EAS GMM is provided as an electronic appendix.

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Alchanatis, Victor, Stephen W. Searcy, Moshe Meron, W. Lee, G. Y. Li et A. Ben Porath. Prediction of Nitrogen Stress Using Reflectance Techniques. United States Department of Agriculture, novembre 2001. http://dx.doi.org/10.32747/2001.7580664.bard.

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Commercial agriculture has come under increasing pressure to reduce nitrogen fertilizer inputs in order to minimize potential nonpoint source pollution of ground and surface waters. This has resulted in increased interest in site specific fertilizer management. One way to solve pollution problems would be to determine crop nutrient needs in real time, using remote detection, and regulating fertilizer dispensed by an applicator. By detecting actual plant needs, only the additional nitrogen necessary to optimize production would be supplied. This research aimed to develop techniques for real time assessment of nitrogen status of corn using a mobile sensor with the potential to regulate nitrogen application based on data from that sensor. Specifically, the research first attempted to determine the system parameters necessary to optimize reflectance spectra of corn plants as a function of growth stage, chlorophyll and nitrogen status. In addition to that, an adaptable, multispectral sensor and the signal processing algorithm to provide real time, in-field assessment of corn nitrogen status was developed. Spectral characteristics of corn leaves reflectance were investigated in order to estimate the nitrogen status of the plants, using a commercial laboratory spectrometer. Statistical models relating leaf N and reflectance spectra were developed for both greenhouse and field plots. A basis was established for assessing nitrogen status using spectral reflectance from plant canopies. The combined effect of variety and N treatment was studied by measuring the reflectance of three varieties of different leaf characteristic color and five different N treatments. The variety effect on the reflectance at 552 nm was not significant (a = 0.01), while canonical discriminant analysis showed promising results for distinguishing different variety and N treatment, using spectral reflectance. Ambient illumination was found inappropriate for reliable, one-beam spectral reflectance measurement of the plants canopy due to the strong spectral lines of sunlight. Therefore, artificial light was consequently used. For in-field N status measurement, a dark chamber was constructed, to include the sensor, along with artificial illumination. Two different approaches were tested (i) use of spatially scattered artificial light, and (ii) use of collimated artificial light beam. It was found that the collimated beam along with a proper design of the sensor-beam geometry yielded the best results in terms of reducing the noise due to variable background, and maintaining the same distance from the sensor to the sample point of the canopy. A multispectral sensor assembly, based on a linear variable filter was designed, constructed and tested. The sensor assembly combined two sensors to cover the range of 400 to 1100 nm, a mounting frame, and a field data acquisition system. Using the mobile dark chamber and the developed sensor, as well as an off-the-shelf sensor, in- field nitrogen status of the plants canopy was measured. Statistical analysis of the acquired in-field data showed that the nitrogen status of the com leaves can be predicted with a SEP (Standard Error of Prediction) of 0.27%. The stage of maturity of the crop affected the relationship between the reflectance spectrum and the nitrogen status of the leaves. Specifically, the best prediction results were obtained when a separate model was used for each maturity stage. In-field assessment of the nitrogen status of corn leaves was successfully carried out by non contact measurement of the reflectance spectrum. This technology is now mature to be incorporated in field implements for on-line control of fertilizer application.

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Oliynyk, Kateryna, et Matteo Ciantia. Application of a finite deformation multiplicative plasticity model with non-local hardening to the simulation of CPTu tests in a structured soil. University of Dundee, décembre 2021. http://dx.doi.org/10.20933/100001230.

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In this paper an isotropic hardening elastoplastic constitutive model for structured soils is applied to the simulation of a standard CPTu test in a saturated soft structured clay. To allow for the extreme deformations experienced by the soil during the penetration process, the model is formulated in a fully geometric non-linear setting, based on: i) the multiplicative decomposition of the deformation gradient into an elastic and a plastic part; and, ii) on the existence of a free energy function to define the elastic behaviour of the soil. The model is equipped with two bonding-related internal variables which provide a macroscopic description of the effects of clay structure. Suitable hardening laws are employed to describe the structure degradation associated to plastic deformations. The strain-softening associated to bond degradation usually leads to strain localization and consequent formation of shear bands, whose thickness is dependent on the characteristics of the microstructure (e.g, the average grain size). Standard local constitutive models are incapable of correctly capturing this phenomenon due to the lack of an internal length scale. To overcome this limitation, the model is framed using a non-local approach by adopting volume averaged values for the internal state variables. The size of the neighbourhood over which the averaging is performed (characteristic length) is a material constant related to the microstructure which controls the shear band thickness. This extension of the model has proven effective in regularizing the pathological mesh dependence of classical finite element solutions in the post-localization regime. The results of numerical simulations, conducted for different soil permeabilities and bond strengths, show that the model captures the development of plastic deformations induced by the advancement of the cone tip; the destructuration of the clay associated with such plastic deformations; the space and time evolution of pore water pressure as the cone tip advances. The possibility of modelling the CPTu tests in a rational and computationally efficient way opens a promising new perspective for their interpretation in geotechnical site investigations.

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