Relevant bibliographies by topics / Discrete duality finite volumes

Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Book chapters
  4. Conference papers

Academic literature on the topic 'Discrete duality finite volumes'

Author: Grafiati
Published: 28 September 2024
Last updated: 31 July 2025

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Journal articles on the topic "Discrete duality finite volumes"

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ANDREIANOV, B., M. BENDAHMANE, and K. H. KARLSEN. "DISCRETE DUALITY FINITE VOLUME SCHEMES FOR DOUBLY NONLINEAR DEGENERATE HYPERBOLIC-PARABOLIC EQUATIONS." Journal of Hyperbolic Differential Equations 07, no. 01 (2010): 1–67. http://dx.doi.org/10.1142/s0219891610002062.

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We consider a class of doubly nonlinear degenerate hyperbolic-parabolic equations with homogeneous Dirichlet boundary conditions, for which we first establish the existence and uniqueness of entropy solutions. We then turn to the construction and analysis of discrete duality finite volume schemes (in the spirit of Domelevo and Omnès [43]) for these problems in two and three spatial dimensions. We derive a series of discrete duality formulas and entropy dissipation inequalities for the schemes. We establish the existence of solutions to the discrete problems, and prove that sequences of approxi
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Coudière, Yves, and Gianmarco Manzini. "The Discrete Duality Finite Volume Method for Convection-diffusion Problems." SIAM Journal on Numerical Analysis 47, no. 6 (2010): 4163–92. http://dx.doi.org/10.1137/080731219.

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Tomek, Lukáš, and Karol Mikula. "Discrete duality finite volume method with tangential redistribution of points for surfaces evolving by mean curvature." ESAIM: Mathematical Modelling and Numerical Analysis 53, no. 6 (2019): 1797–840. http://dx.doi.org/10.1051/m2an/2019040.

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We propose a new discrete duality finite volume method for solving mean curvature flow of surfaces in ℝ3. In the cotangent scheme, which is widely used discretization of Laplace–Beltrami operator, a two-dimensional surface is usually approximated by a triangular mesh. In the cotangent scheme the unknowns are the vertices of the triangulation. A finite volume around each vertex is constructed as a surface patch bounded by a piecewise linear curve with nodes in the midpoints of the neighbouring edges and a representative point of each adjacent triangle. The basic idea of our new approach is to i
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Handlovicova, Angela. "Stability estimates for Discrete duality finite volume scheme of Heston model." Computer Methods in Material Science 17, no. 2 (2017): 101–10. http://dx.doi.org/10.7494/cmms.2017.2.0596.

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Tensor diffusion equation represents an important model in many fields of science. We focused our attention to the problem which arises in financial mathematics and is known as 2D Heston model. Stability estimates for discrete duality finite volume scheme for proposed model is presented. Numerical experiments using proposed method and comparing it with previous numerical scheme are included
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Chainais-Hillairet, C., S. Krell, and A. Mouton. "Study of Discrete Duality Finite Volume Schemes for the Peaceman Model." SIAM Journal on Scientific Computing 35, no. 6 (2013): A2928—A2952. http://dx.doi.org/10.1137/130910555.

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Coudière, Yves, and Florence Hubert. "A 3D Discrete Duality Finite Volume Method for Nonlinear Elliptic Equations." SIAM Journal on Scientific Computing 33, no. 4 (2011): 1739–64. http://dx.doi.org/10.1137/100786046.

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Handlovičová, Angela, and Dana Kotorová. "Stability of the Semi-Implicit Discrete Duality Finite Volume Scheme for the Curvature Driven Level Set Equation in 2D." Tatra Mountains Mathematical Publications 61, no. 1 (2014): 117–29. http://dx.doi.org/10.2478/tmmp-2014-0031.

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Abstract Stability of the linear semi-implicit discrete duality finite volume (DDFV) numerical scheme for the solution of the regularized curvature driven level set equation is proved. Our scheme is linear, it is efficient regarding computational times. Numerical experiments confirm accuracy of the proposed scheme
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Andreianov, Boris, Mostafa Bendahmane, and Florence Hubert. "On 3D DDFV Discretization of Gradient and Divergence Operators: Discrete Functional Analysis Tools and Applications to Degenerate Parabolic Problems." Computational Methods in Applied Mathematics 13, no. 4 (2013): 369–410. http://dx.doi.org/10.1515/cmam-2013-0011.

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Abstract. We present a detailed survey of discrete functional analysis tools (consistency results, Poincaré and Sobolev embedding inequalities, discrete W1,p compactness, discrete compactness in space and in time) for the so-called Discrete Duality Finite Volume (DDFV) schemes in three space dimensions. We concentrate mainly on the 3D CeVe-DDFV scheme presented in [IMA J. Numer. Anal., 32 (2012), pp. 1574–1603]. Some of our results are new, such as a general time-compactness result based upon the idea of Kruzhkov (1969); others generalize the ideas known for the 2D DDFV schemes or for traditio
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Njifenjou, Abdou, Abel Toudna Mansou, and Moussa Sali. "A New Second-order Maximum-principle-preserving Finite-volume Method for Flow Problems Involving Discontinuous Coefficients." American Journal of Applied Mathematics 12, no. 4 (2024): 91–110. http://dx.doi.org/10.11648/j.ajam.20241204.12.

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A new development of Finite Volumes (FV, for short) and its theoretical analysis are the purpose of this work. Recall that FV are known as powerful tools to address equations of conservation laws (mass, energy, momentum,...). Over the last two decades investigators have succeeded in putting in place a mathematical framework for the theoretical analysis of FV. A perfect illustration of this progress is the design and mathematical analysis of Discrete Duality Finite Volumes (DDFV, for short). We propose now a new class of DDFV for 2nd order elliptic equations involving discontinuous diffusion co
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Kinfack Jeutsa, A., A. Njifenjou, and J. Nganhou. "Convergence Analysis on Unstructured Meshes of a DDFV Method for Flow Problems with Full Neumann Boundary Conditions." Journal of Applied Mathematics 2016 (2016): 1–22. http://dx.doi.org/10.1155/2016/5891064.

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A Discrete Duality Finite Volume (DDFV) method to solve on unstructured meshes the flow problems in anisotropic nonhomogeneous porous media with full Neumann boundary conditions is proposed in the present work. We start with the derivation of the discrete problem. A result of existence and uniqueness of a solution for that problem is given thanks to the properties of its associated matrix combined with adequate assumptions on data. Their theoretical properties, namely, stability and error estimates (in discrete energy norms andL2-norm), are investigated. Numerical test is provided.
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Dissertations / Theses on the topic "Discrete duality finite volumes"

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Paragot, Paul. "Analyse numérique du système d'équations Poisson-Nernst Planck pour étudier la propagation d'un signal transitoire dans les neurones." Electronic Thesis or Diss., Université Côte d'Azur, 2024. http://www.theses.fr/2024COAZ5020.

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Les questions neuroscientifiques concernant les dendrites incluent la compréhension de leur plasticité structurale en réponse à l'apprentissage et la manière dont elles intègrent les signaux. Les chercheurs visent à élucider ces aspects pour améliorer notre compréhension de la fonction neuronale et de ses complexités. Cette thèse vise à offrir des perspectives numériques concernant la dynamique du voltage et des ions dans les dendrites. Notre objectif est de modéliser l'excitation neuronale dans les dendrites. Nous abordons la dynamique ionique suite à l'afflux de signaux nerveux. Pour les sim
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Lakhlili, Jalal. "Modélisation et simulation numériques de l'érosion par méthode DDFV." Thesis, Toulon, 2015. http://www.theses.fr/2015TOUL0013/document.

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L’objectif de cette étude est de simuler l’érosion d’un sol cohésif sous l’effet d’un écoulement incompressible. Le modèle élaboré décrit une vitesse d’érosion interfaciale qui dépend de la contrainte de cisaillement de l’écoulement. La modélisation numérique proposée est une approche eulérienne, où une méthode de pénalisation de domaines est utilisée pour résoudre les équations de Navier-Stokes autour d’un obstacle. L’interface eau/sol est décrite par une fonction Level Set couplée à une loi d’érosion à seuil.L’approximation numérique est basée sur un schéma DDFV (Discrete Duality Finite Volu
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Delcourte, Sarah. "DEVELOPPEMENT DE METHODES DE VOLUMES FINIS POUR LA MECANIQUE DES FLUIDES." Phd thesis, Université Paul Sabatier - Toulouse III, 2007. http://tel.archives-ouvertes.fr/tel-00200833.

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Le but de cette thèse est de développer une méthode de volumes finis qui s'applique à une classe de maillages beaucoup plus grande que celle des méthodes classiques, limitées par des conditions d'orthogonalité très restrictives. On construit des opérateurs différentiels discrets agissant sur les trois maillages décalés nécessaires à la construction de la méthode. Ces opérateurs vérifient des propriétés discrètes analogues à celles des opérateurs continus. La méthode est tout d'abord appliquée au problème divergence-rotationnel qui peut etre considéré comme une brique du problème de Stokes. Ens
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Delcourte, Sarah. "Développement de méthodes de volumes finis pour la mécanique des fluides." Toulouse 3, 2007. http://thesesups.ups-tlse.fr/124/.

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Le but de cette thèse est de développer une méthode de volumes finis qui s'applique à une classe de maillages beaucoup plus grande que celle des méthodes classiques, limitées par des conditions d'orthogonalité très restrictives. On construit des opérateurs différentiels discrets agissant sur les trois maillages décalés, nécessaires à la construction de la méthode. Ces opérateurs vérifient des propriétés discrètes analogues à celles des opérateurs continus. La méthode est tout d'abord appliquées au problème Divergence-Rotationnel qui peut être considéré comme une brique du problème de Stokes. E
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Omnes, Pascal. "Développement et analyse de méthodes de volumes finis." Habilitation à diriger des recherches, Université Paris-Nord - Paris XIII, 2010. http://tel.archives-ouvertes.fr/tel-00613239.

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Ce document synthétise un ensemble de travaux portant sur le développement et l'analyse de méthodes de volumes finis utilisées pour l'approximation numérique d'équations aux dérivées partielles issues de la physique. Le mémoire aborde dans sa première partie des schémas colocalisés de type Godunov d'une part pour les équations de l'électromagnétisme, et d'autre part pour l'équation des ondes acoustiques, avec une étude portant sur la perte de précision de ce schéma à bas nombre de Mach. La deuxième partie est consacrée à la construction d'opérateurs différentiels discrets sur des maillages bid
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Monasse, Laurent. "Analysis of a discrete element method and coupling with a compressible fluid flow method." Phd thesis, Université Paris-Est, 2011. http://pastel.archives-ouvertes.fr/pastel-00672342.

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This work aims at the numerical simulation of compressible fluid/deformable structure interactions. In particular, we have developed a partitioned coupling algorithm between a Finite Volume method for the compressible fluid and a Discrete Element method capable of taking into account fractures in the solid. A survey of existing fictitious domain methods and partitioned algorithms has led to choose an Embedded Boundary method and an explicit coupling scheme. We first showed that the Discrete Element method used for the solid yielded the correct macroscopic behaviour and that the symplectic time
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Kunhappan, Deepak. "Modélisation numérique de l’écoulement de suspensions de fibres souples en régime inertiel." Thesis, Université Grenoble Alpes (ComUE), 2018. http://www.theses.fr/2018GREAI045/document.

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Un modèle numérique décrivant le comportement de fibres souples en suspension dans un écoulement de fluide en régime inertiel a été développé au moyen d'un couplage entre la méthode des éléments discrets et la méthode des volumes finis. Chaque fibre est discrétisée en plusieurs éléments de type poutre permettant de prendre en compte une déformation (flexion, torsion, allongement) et un mouvement de corps rigide. Les équations du mouvement des fibres sont résolues au moyen d'un schéma explicite du second ordre (temps et espace). Le mouvement de la phase fluide est décrit par les équations de Na
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Catalano, Emanuele. "Modélisation physique et numérique de la micro-mécanique des milieux granulaires saturés. Application à la stabilité de substrats sédimentaires en génie cotier." Thesis, Grenoble, 2012. http://www.theses.fr/2012GRENU012/document.

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Le comportement des matériaux multiphasiques couvre une multitude de phénomènes qui suscitent un grand intérêt dans le domaine scientifique et professionnel. Les propriétés mécaniques de ces types de matériau trouvent leur origine dans les phases dont ils sont composés, leur distribution et interaction. Un nouveau modèle hydrodynamique couplé est présenté dans ce travail de thèse, à appliquer à l'analyse de l'hydrodynamique des milieux granulaires saturés. Le modèle associe la méthode des éléments discrets (DEM) pour la modélisation de la phase solide, avec une formulation en volumes finis, à
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Bessemoulin-Chatard, Marianne. "Développement et analyse de schémas volumes finis motivés par la présentation de comportements asymptotiques. Application à des modèles issus de la physique et de la biologie." Phd thesis, Université Blaise Pascal - Clermont-Ferrand II, 2012. http://tel.archives-ouvertes.fr/tel-00836514.

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Cette thèse est dédiée au développement et à l'analyse de schémas numériques de type volumes finis pour des équations de convection-diffusion, qui apparaissent notamment dans des modèles issus de la physique ou de la biologie. Nous nous intéressons plus particulièrement à la préservation de comportements asymptotiques au niveau discret. Ce travail s'articule en trois parties, composées chacune de deux chapitres. Dans la première partie, nous considérons la discrétisation du système de dérive diffusion linéaire pour les semi-conducteurs par le schéma de Scharfetter-Gummel implicite en temps. No
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Nguyen-Dinh, Maxime. "Qualification des simulations numériques par adaptation anisotropique de maillages." Phd thesis, Université Nice Sophia Antipolis, 2014. http://tel.archives-ouvertes.fr/tel-00987202.

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La simulation numérique est largement utilisée pour évaluer les performances aérodynamiques des aéronefs ainsi qu'en optimisation de forme. Ainsi l'objectif de ces simulations est souvent le calcul de fonctions aérodynamiques. L'objet de cette thèse est d'étudier des méthodes d'adaptation de maillages basées sur la dérivée totale de ces fonctions par rapport aux coordonnées du maillage (notée dJ/dX). Celle-ci pouvant être calculée par la méthode adjointe discrète. La première partie de cette étude concerne l'application de méthodes d'adaptation de maillages appliquées à des écoulements de flui
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Book chapters on the topic "Discrete duality finite volumes"

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Martin, Benjamin, and Frédéric Pascal. "Discrete Duality Finite Volume Method Applied to Linear Elasticity." In Finite Volumes for Complex Applications VI Problems & Perspectives. Springer Berlin Heidelberg, 2011. http://dx.doi.org/10.1007/978-3-642-20671-9_70.

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Coudière, Yves, and Charles Pierre. "Benchmark 3D: CeVe-DDFV, a Discrete Duality Scheme with Cell/Vertex Unknowns." In Finite Volumes for Complex Applications VI Problems & Perspectives. Springer Berlin Heidelberg, 2011. http://dx.doi.org/10.1007/978-3-642-20671-9_102.

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Boyer, Franck, Stella Krell, and Flore Nabet. "Benchmark Session: The 2D Discrete Duality Finite Volume Method." In Springer Proceedings in Mathematics & Statistics. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-57397-7_11.

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Coudière, Yves, Florence Hubert, and Gianmarco Manzini. "Benchmark 3D: CeVeFE-DDFV, a discrete duality scheme with cell/vertex/face+edge unknowns." In Finite Volumes for Complex Applications VI Problems & Perspectives. Springer Berlin Heidelberg, 2011. http://dx.doi.org/10.1007/978-3-642-20671-9_95.

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Handlovičová, Angela, and Peter Frolkovič. "Semi-implicit Alternating Discrete Duality Finite Volume Scheme for Curvature Driven Level Set Equation." In Finite Volumes for Complex Applications VII-Methods and Theoretical Aspects. Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-05684-5_32.

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Cancès, Clément, Claire Chainais-Hillairet, and Stella Krell. "A Nonlinear Discrete Duality Finite Volume Scheme for Convection-Diffusion Equations." In Springer Proceedings in Mathematics & Statistics. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-57397-7_37.

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Delcourte, Sarah, and Pascal Omnes. "Numerical Results for a Discrete Duality Finite Volume Discretization Applied to the Navier–Stokes Equations." In Springer Proceedings in Mathematics & Statistics. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-57397-7_10.

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Enock, Michel, and Jean-Marie Schwartz. "Special Cases: Unimodular, Compact, Discrete and Finite-Dimensional Kac Algebras." In Kac Algebras and Duality of Locally Compact Groups. Springer Berlin Heidelberg, 1992. http://dx.doi.org/10.1007/978-3-662-02813-1_7.

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Glitzky, Annegret, and Jens A. Griepentrog. "On Discrete Sobolev–Poincaré Inequalitiesfor Voronoi Finite Volume Approximations." In Finite Volumes for Complex Applications VI Problems & Perspectives. Springer Berlin Heidelberg, 2011. http://dx.doi.org/10.1007/978-3-642-20671-9_56.

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Gallouët, Thierry, David Maltese, and Antonín Novotný. "Discrete Relative Entropy for the Compressible Stokes System." In Finite Volumes for Complex Applications VII-Methods and Theoretical Aspects. Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-05684-5_37.

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Conference papers on the topic "Discrete duality finite volumes"

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Geng, Yanlin, and Fan Cheng. "Duality between finite numbers of discrete multiple access and broadcast channels." In 2015 IEEE Information Theory Workshop - Fall (ITW). IEEE, 2015. http://dx.doi.org/10.1109/itwf.2015.7360755.

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Voulgaris, Petros. "Multi-Objecitve Control of Dynamical Systems." In ASME 1995 Design Engineering Technical Conferences collocated with the ASME 1995 15th International Computers in Engineering Conference and the ASME 1995 9th Annual Engineering Database Symposium. American Society of Mechanical Engineers, 1995. http://dx.doi.org/10.1115/detc1995-0345.

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Abstract In this paper we consider the problem of minimizing the H2-norm of the closed loop map while maintaining its ℓ1-norm at a prescribed level. The problem is analyzed in the case of discrete-time, SISO closed loop maps. Utilizing duality theory, it is shown that the optimal solution is unique and has a finite impulse response. A finite step procedure is given for the construction of the exact solution. This procedure consists of solving a finite number of quadratic programming problems which can be performed using standard methods. Finally, continuity properties of the optimal solution w
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Xie, Yawei, and Michael G. Edwards. "Higher Resolution Hybrid-Upwind Spectral Finite-Volume Methods, for Flow in Porous and Fractured Media on Unstructured Grids." In SPE Reservoir Simulation Conference. SPE, 2021. http://dx.doi.org/10.2118/203957-ms.

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Abstract A novel higher resolution spectral volume method coupled with a control-volume distributed multi-Point flux approximation (CVD-MPFA) is presented on unstructured triangular grids for subsurface reservoir simulation. The flow equations involve an essentially hyperbolic convection equation coupled with an elliptic pressure equation resulting from Darcy’s law together with mass conservation. The spectral volume (SV) method is a locally conservative, efficient high-order finite volume method for convective flow. In 2D geometry, the triangular cell is subdivided into sub-cells, and the ave
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Wu, Dawei, Yuan Di, Zhijiang Kang, and Yu-Shu Wu. "Coupled Geomechanics and Fluid Flow Modeling for Petroleum Reservoirs Accounting for Multi-Scale Fractures." In SPE Reservoir Simulation Conference. SPE, 2023. http://dx.doi.org/10.2118/212247-ms.

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Abstract Accurate modeling of fractured reservoirs is very challenging due to the various scales of fractures. The fracture networks may be too complex to be represented using the equivalent continuum model (ECM) or dual porosity-dual permeability (DPDK) model, yet too computational costly to be modeled using the discrete fracture (DFM) or embedded discrete fracture (EDFM) models. This paper proposes a hybrid model that integrates ECM, DPDK, and an integrally embedded discrete fracture model (IEDFM) to account for multi-scale fractures. The hybrid model is applied to investigate the coupled ge
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Choi, Kwang Won, Dan Negrut, and Darryl G. Thelen. "GPU-Based Algorithm for Fast Computation of Cartilage Contact Patterns During Simulations of Movement." In ASME 2013 Summer Bioengineering Conference. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/sbc2013-14095.

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Direct measurement of cartilage contact is not feasible, necessitating the use of musculoskeletal models to estimate the internal soft tissue loading associated with movement2. However, current computational models used to simulate movement often utilize simplified joint kinematic constraints which can only provide an estimate of the net joint reaction force1. Detailed finite element models of the knee have been created14 which can provide estimates of cartilage tissue stress, but are too computationally expensive to solve within the context of a whole body simulation of movement. Discrete ele
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Tong, Timothy W., Mohsen M. Abou-Ellail, Yuan Li, and Karam R. Beshay. "Numerical Prediction of Nitrogen Oxides in Radiant Porous Burner Flows." In ASME/JSME 2007 Thermal Engineering Heat Transfer Summer Conference collocated with the ASME 2007 InterPACK Conference. ASMEDC, 2007. http://dx.doi.org/10.1115/ht2007-32064.

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The present paper is concerned with the numerical computation of flow, heat transfer and chemical reactions in porous burners. The porous solid matrix acts as a host for redistributing the thermal energy transferred to it from the hot reacting gases. Inside the porous matrix, heat is transferred down stream by conduction and radiation. This thermal energy is then transferred to the incoming cold fuel/air mixture to initiate the chemical reaction processes and thus stabilize the flame. One of the important features of porous burners is its presumed low levels of NO concentration. In the present
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Gradl, Christoph, Ivo Kovacic, and Rudolf Scheidl. "Development of an Energy Saving Hydraulic Stepper Drive." In 8th FPNI Ph.D Symposium on Fluid Power. American Society of Mechanical Engineers, 2014. http://dx.doi.org/10.1115/fpni2014-7809.

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Stepper drives can realize quite precise, incremental motions without position sensors. Sensorless hydraulic motion control is strongly demanded by industry and, therefore, is an established idea in hydraulics for a while. Some concepts have been proposed in the past and a few of them have also been realized and applied in specific cases. But it is expected that digital hydraulics — due to its intrinsic discrete nature — can create new, more advantageous hydraulic versions of stepper drives. In this paper, a new stepper drive is presented and investigated. It creates the steps by fixed fluid q
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Tong, Timothy W., Mohsen M. Abou-Ellail, Yuan Li, and Karam R. Beshay. "Computation of Nitrogen Oxides in Radiant Porous Burner Flows." In ASME 2008 Heat Transfer Summer Conference collocated with the Fluids Engineering, Energy Sustainability, and 3rd Energy Nanotechnology Conferences. ASMEDC, 2008. http://dx.doi.org/10.1115/ht2008-56229.

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The present paper is concerned with the numerical computation of flow, heat transfer and chemical reactions in porous burners. One of the important features of porous burners is their presumed low levels of nitrogen oxides. In the present work, the computed NOx is compared with similar conventional premixed burners and measured nitrogen oxides in porous burners. In order to accurately compute the nitrogen oxides levels in porous burners, both prompt and thermal NOx mechanisms are included. In the present work, the porous burner species mass fraction source terms are computed from an ‘extended’
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Cao, Wen, and Rami M. Younis. "Numerical Study of the Influences of Dynamic Loading and Unloading Rates on Fracturing." In 57th U.S. Rock Mechanics/Geomechanics Symposium. ARMA, 2023. http://dx.doi.org/10.56952/arma-2023-0936.

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ABSTRACT Dynamic loading offers the potential to induce densely connected fractured pore space over large bulk volumes of impermeable rock. An understanding of the impacts of the dynamic loading and unloading rates on the resulting fracturing can guide the design of discharge technologies. This work numerically investigates the dependence of the extent of fracturing on dynamic loading characteristics. We reconcile a high-fidelity model (finite-discrete element method with nonlinear fracture mechanics) with experimental observations. The model is subsequently used to simulate various loading sc
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