Cancès, Clément

Finite Volumes for Complex Applications VIII - Hyperbolic, Elliptic and Parabolic Problems

Cancès, Clément - Finite Volumes for Complex Applications VIII - Hyperbolic, Elliptic and Parabolic Problems, ebook


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Table of contents

Part I. Hyperbolic Problems

1. A Weighted Splitting Approach for Low-Mach Number Flows
David Iampietro, Frédéric Daude, Pascal Galon, Jean-Marc Hérard

2. Weno Scheme for Transport Equation on Unstructured Grids with a DDFV Approach
Florence Hubert, Rémi Tesson

3. New Types of Jacobian-Free Approximate Riemann Solvers for Hyperbolic Systems
Manuel J. Castro, José M. Gallardo, Antonio Marquina

4. A Fractional Step Method to Simulate Mixed Flows in Pipes with a Compressible Two-Layer Model
Charles Demay, Christian Bourdarias, Benoît Laage de Meux, Stéphane Gerbi, Jean-Marc Hérard

5. A Second Order Cell-Centered Scheme forLagrangian Hydrodynamics
Théo Corot

6. An Implicit Integral Formulation for the Modeling of Inviscid Fluid Flows in Domains Containing Obstacles
Clément Colas, Martin Ferrand, Jean-Marc Hérard, Erwan Le Coupanec, Xavier Martin

7. A High-Order Discontinuous Galerkin Lagrange Projection Scheme for the Barotropic Euler Equations
Christophe Chalons, Maxime Stauffert

8. Sensitivity Analysis for the Euler Equations in Lagrangian Coordinates
Christophe Chalons, Régis Duvigneau, Camilla Fiorini

9. Semi-implicit Level Set Method with Inflow-Based Gradient in a Polyhedron Mesh
Jooyoung Hahn, Karol Mikula, Peter Frolkovič, Branislav Basara

10. A Staggered Scheme for the Euler Equations
Thierry Goudon, Julie Llobell, Sebastian Minjeaud

11. A Numerical Scheme for the Propagation of Internal Waves in an Oceanographic Model
Christian Bourdarias, Stéphane Gerbi, Ralph Lteif

12. A Splitting Scheme for Three-Phase FlowModels
Hamza Boukili, Jean-Marc Hérard

13. Modelling and Simulation of Non-hydrostatic Shallow Flows
M. J. Castro, C. Escalante, T. Morales de Luna

14. A Flux Splitting Method for the Baer-Nunziato Equations of Compressible Two-Phase Flow
Svetlana Tokareva, Eleuterio Toro

15. GPU Accelerated Finite Volume Methods forThree-Dimensional Shallow Water Flows
Mohamed Boubekeur, Fayssal Benkhaldoun, Mohammed Seaid

16. Projective Integration for Nonlinear BGK Kinetic Equations
Ward Melis, Thomas Rey, Giovanni Samaey

17. Asymptotic Preserving Property of a Semi-implicit Method
Lei Zhang, Jean-Michel Ghidaglia, Anela Kumbaro

18. A Finite-Volume Discretization of Viscoelastic Saint-Venant Equations for FENE-P Fluids
Sébastien Boyaval

19. Palindromic Discontinuous Galerkin Method
David Coulette, Emmanuel Franck, Philippe Helluy, Michel Mehrenberger, Laurent Navoret

20. IMEX Finite Volume Methods for Cloud Simulation
M. Lukáčová-Medvid’ová, J. Rosemeier, P. Spichtinger, B. Wiebe

21. Hybrid Stochastic Galerkin Finite Volumes for the Diffusively Corrected Lighthill-Whitham-Richards Traffic Model
Raimund Bürger, Ilja Kröker

22. The RS-IMEX Scheme for the Rotating Shallow Water Equations with the Coriolis Force
Hamed Zakerzadeh

23. Analysis of Apparent Topography Scheme forthe Linear Wave Equation with Coriolis Force
Emmanuel Audusse, Minh Hieu Do, Pascal Omnes, Yohan Penel

24. Application of a Combined Finite Element—Finite Volume Method to a 2D Non-hydrostatic Shallow Water Problem
Nora Aïssiouene, Marie-Odile Bristeau, Edwige Godlewski, Anne Mangeney, Carlos Parés, Jacques Sainte-Marie

25. A Relaxation Scheme for the Simulation ofLow Mach Number Flows
Emanuela Abbate, Angelo Iollo, Gabriella Puppo

26. Comparison of Wetting and Drying Between a RKDG2 Method and Classical FV Based Second-Order Hydrostatic Reconstruction
Stefan Vater, Nicole Beisiegel, Jörn Behrens

27. A Discontinuous Galerkin Method forNon-hydrostatic Shallow Water Flows
Anja Jeschke, Stefan Vater, Jörn Behrens

28. Design of a Second-Order Fully Explicit Residual Distribution Scheme for Compressible Multiphase Flows
Rémi Abgrall, Paola Bacigaluppi

29. An Unstructured Forward-Backward Lagrangian Scheme for Transport Problems
Martin Campos Pinto

30. A Godunov-Type Scheme for Shallow Water Equations Dedicated to Simulations of Overland Flows on Stepped Slopes
Nicole Goutal, Minh-Hoang Le, Philippe Ung

31. Two Models for the Computation of Laminar Flames in Dust Clouds
Dionysios Grapsas, Raphaèle Herbin, Jean-Claude Latché

32. High Order Finite Volume Scheme andConservative Grid Overlapping Technique for Complex Industrial Applications
Grégoire Pont, Pierre Brenner

Part II. Elliptic and Parabolic Problems

33. Discontinuous Finite Volume Element Methods for the Optimal Control ofBrinkman Equations
Sarvesh Kumar, Ricardo Ruiz-Baier, Ruchi Sandilya

34. Non-isothermal Compositional Two-Phase Darcy Flow: Formulation and Outflow Boundary Condition
L. Beaude, K. Brenner, S. Lopez, R. Masson, F. Smai

35. Numerical Scheme for a Stratigraphic Model with Erosion Constraint and Nonlinear Gravity Flux
Clément Cancès, Didier Granjeon, Nicolas Peton, Quang Huy Tran, Sylvie Wolf

36. Comparison of Adaptive Non-symmetric andThree-Field FVM-BEM Coupling
Christoph Erath, Robert Schorr

37. On the Conditions for Coupling Free Flow and Porous-Medium Flow in a Finite Volume Framework
Thomas Fetzer, Christoph Grüninger, Bernd Flemisch, Rainer Helmig

38. Non-conforming Localized Model Reduction with Online Enrichment: Towards Optimal Complexity in PDE Constrained Optimization
Mario Ohlberger, Felix Schindler

39. Combining the Hybrid Mimetic Mixed Method and the Eulerian Lagrangian Localised Adjoint Method for Approximating Miscible Flows in Porous Media
Hanz Martin Cheng, Jérôme Droniou

40. Mixed Finite Volume Methods for Linear Elasticity
I. Ambartsumyan, E. Khattatov, I. Yotov

41. A Nonlinear Domain Decomposition Method to Couple Compositional Gas Liquid Darcy and Free Gas Flows
Nabil Birgle, Roland Masson, Laurent Trenty

42. Hybrid Finite-Volume/Finite-Element Schemes for p(x)-Laplace Thermistor Models
Jürgen Fuhrmann, Annegret Glitzky, Matthias Liero

43. Finite Volume Scheme for Coupling Two–Phase Flow with Reactive Transport in Porous Media
E. Ahusborde, B. Amaziane, M. Ossmani

44. Nonlinear Finite-Volume Scheme forComplex Flow Processes on Corner-Point Grids
Martin Schneider, Dennis Gläser, Bernd Flemisch, Rainer Helmig

45. Consistent Nonlinear Solver for Solute Transport in Variably Saturated Porous Media
Daniil Svyatskiy, Konstantin Lipnikov

46. A Two-Dimensional Complete Flux Scheme in Local Flow Adapted Coordinates
Jan Thije Boonkkamp, Martijn Anthonissen, Ruben Kwant

47. hp–Adaptive Discontinuous Galerkin Methods for Porous Media Flow
Birane Kane, Robert Klöfkorn, Christoph Gersbacher

48. A Nonlinear Flux Approximation Scheme forthe Viscous Burgers Equation
N. Kumar, J. H. M. Thije Boonkkamp, B. Koren, A. Linke

49. Mimetic Staggered Discretization ofIncompressible Navier–Stokes forBarycentric Dual Mesh
René Beltman, Martijn J. H. Anthonissen, Barry Koren

50. A Reduced-Basis Approach to Two-Phase Flow in Porous Media
Sébastien Boyaval, Guillaume Enchéry, Riad Sanchez, Quang Huy Tran

51. On the Capillary Pressure in Basin Modeling
Laurent Quaglia

52. A Finite Volume Scheme forNernst-Planck-Poisson Systems with Ion Size and Solvation Effects
Jürgen Fuhrmann, Clemens Guhlke

53. A Nonlinear Correction FV Scheme forNear-Well Regions
Vasiliy Kramarenko, Kirill Nikitin, Yuri Vassilevski

54. A Hybrid High-Order Method fortheConvective Cahn–Hilliard Problem inMixedForm
Florent Chave, Daniele A. Pietro, Fabien Marche

55. A Hybrid Finite Volume—Finite Element Method for Modeling Flows in Fractured Media
Alexey Chernyshenko, Maxim Olshahskii, Yuri Vassilevski

56. A Nonconforming High-Order Method forNonlinear Poroelasticity
Michele Botti, Daniele A. Pietro, Pierre Sochala

57. New Criteria for Mesh Adaptation in Finite Volume Simulation of Planar Ionization Wavefront Propagation
Hanen Amor, Fayssal Benkhaldoun, Tarek Ghoudi, Imad Kissami, Mohammed Seaid

Keywords: Mathematics, Computational Mathematics and Numerical Analysis, Fluid- and Aerodynamics, Numerical and Computational Physics, Simulation

Publication year
Springer Proceedings in Mathematics & Statistics
Page amount
13 pages
Natural Sciences
Printed ISBN

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