Finite Volumes for Complex Applications V

by Eymard, Robert

• ISBN13: 9781848210356
• ISBN10: 1848210353
• Edition: 1st
• Format: Hardcover
• Copyright: 2008-10-20
• Publisher: Iste/Hermes Science Pub

Summary

Providing both the theoretical and the practical, this volume contains contributions from speakers at the 5th International Symposium on Finite Volumes for Complex Applications.

Table of Contents

Comparison of Monotonocity for some Multipoint Flux Approximation Methods	p. 19
A Symmetric and Coercive Finite Volume Scheme for Multiphase Porous Media Flow Problems with Applications in the Oil Industry	p. 35
A Finite-Volume Approach to Liquid-Vapour Fluids with Phase Transition	p. 53
A Recipe to Couple Two Finite Volume Schemes for Elliptic Problems	p. 69
Coupling Fluid Models. Exploring some features of interfacial coupling	p. 87
Finite Volume Scheme Satisfying Maximum and Minimum Principles for Anisotropic Diffusion Operators	p. 103
The Mimetic Finite Difference Method	p. 119
Mortar Coupling of Multiphase Flow and Reactive Transport on Non-Matching Grids	p. 135
Convergence of the Finite Volume MPFA O Scheme for Heterogeneous Anisotropic Diffusion Problems on General Meshes	p. 145
Relaxation and Numerical Approximation of a Two-Fluid Two-Pressure Model	p. 153
A Gradient Reconstruction Formula for Finite Volume Schemes and Discrete Duality	p. 161
Vector Penalty-Projection Methods for the Solution of Unsteady Incompressible Flows	p. 169
A Monotone Scheme for the [kappa]-[epsilon] RNG Model	p. 177
A Finite Volume Stability Result for the Convection Operator in Compressible Flows ... and Some Finite Element Applications	p. 185
Computing Two-Phase Flows in Porous Media with a Two-Fluid Hyperbolic Model	p. 193
Numerical Modelling of Compressible Flows Using pressure-Correction Algorithms	p. 201
Two Cases of the Real ABL Flow over Complex Orography	p. 209
The m-DDFV Method for Heterogeneous Linear and Nonlinear Elliptic Problems	p. 217
Non-overlapping Schwartz Algorithm for DDFV Schemes on General 2D Meshes	p. 225
Some Error Estimates in Finite Volume Methods of Parabolie Equations	p. 233
Numerical Validation of a Bilayer Viscous Model for Shallow Water Equations	p. 241
Two-phase Flows Involving Discontinuities on the Capillary Pressure	p. 249
The Influence of the Boundary Discretization on the Multipoint Flux Approximation L-method	p. 257
High Order 2D Schemes Based on State Reconstructions for Non-Conservative Hyperbolic Systems: Application to Bedload Sediment Transport	p. 265
Analysis of some Finite Volume Schemes for the Geostrophic Adjustment Problem in a Rotating Shallow Water System	p. 273
Finite Volume Scheme for a Corrosion Model	p. 281
A Collocated Finite Volume Scheme for the Incompressible Navier-Stokes Equations on General Non-Matching Grids	p. 289
The Multi-Slope MUSCL Method	p. 297
An Asymptotic Preserving Scheme for Euler Equations with Gravity and Friction	p. 305
2D/3D Discrete Duality Finite Volume Scheme(DDFV) applied to ECG Simulation	p. 313
Renormalization of the Numerical Diffusion for an Upwind Finite Volume Method. Application to the Simulation of Kelvin-Helmholtz Instability	p. 321
Preconditioning Navier-Stokes Problem Discretized by Discrete Duality Finite Volume Schemes	p. 329
Stability of High order Finite Volume Schemes for the 1D Transport Equation	p. 337
Semi-implicit Diamond-cell Finite Volume Scheme for 3D Nonlinear Tensor Diffusion in Coherence Enhancing Image Filtering	p. 343
Using the Lattice Boltzmann Scheme for Anisotropic Diffusion Problems	p. 351
Adaptive Cell-Centered Finite Volume Method	p. 359
A Well-Balanced Runge-Kutta Discontinuous Galerkin Method for the Shallow-Water Equations with Flooding and Drying	p. 367
Discretization Schemes for Linear Diffusion Operators on General Non-Conforming Meshes	p. 375
A Finite Volume Scheme for Sensitivity Analysis in Dynamic Reliability	p. 383
Numerical Simulation with Finite Volume of Dynamic Liquid-Vapor Phase Transition	p. 391
Optimality of Error Estimates in the Combined Finite Volume-Finite Element and Discontinuous Galerkin Methods for Nonlinear Convection-Diffusion Problems	p. 399
An Adaptive Finite Volume Method for Nonstationary Problems	p. 407
Flux-Based Level Set Method for Two-Phase Flow. Towards pure finite-volume discretization of incompressible two-phase flow using a level set formulation	p. 415
Modeling and Simulation of Coupled Species Transport, Porous Electrode Effects and Catalytic Reactions in a Rectangular Flow Cell	p. 423
The WLSQR Scheme for the Flows in Complex Geometry	p. 431
A Two-Fluid Model for Dense Granular Flows	p. 439
A Pressure Correction Scheme for the Homogeneous Two-phase Flow Model with Two Barotropic Phases	p. 447
Modeling Thermal Behavior of Bioreactor Landfills Before Leachate Recirculation	p. 455
Convergence Rate of Finite Volume Schemes for Hyperbolic Conservation Laws on Riemannian Manifolds	p. 463
Adaptive Basis Enrichment for the Reduced Basis Method Applied to Finite Volume Schemes	p. 471
CFFV Scheme Based Finite Volume Method for Condensing Steam Flow	p. 479
An ALE Averaging Approach for the Computing Bubble Oscillations	p. 487
Suspensions of Rod-Like Molecules. A FV-ELLAM-type discretization of the Smoluchowski equation describing the orientation of rod-like molecules	p. 495
The Numerical Coupling of a Two-Fluid Model with an Homogeneous Relaxation Model	p. 503
FV Schemes for Hyperelastic-Plastic Models in Finite Deformations	p. 511
An Anti-Diffusive Method for Simulating Compressible Two-Phase Flows with Interfaces	p. 519
Finite Volume Method for Conservation Laws with Noise	p. 527
A Five-Equation Dissipative Model for Two-Phase Flows	p. 535
The VoFiRe Finite Volume Method Applied to Multi-Component Flows on Unstructured Meshes	p. 543
Numerical Simulation of Liquid-Gas Stratified Flows using Two-phase Eulerian Approach	p. 553
Finite Volume Method on Moving Surfaces	p. 561
Analysis of the Mixed Finite Volume Scheme for a Convection-Diffusion Equation	p. 569
Some Improvements of a FV Aggregation-Based Multigrid Method Applied to Elliptic Problems	p. 577
3D Embryogenesis Image Segmentation by the Generalized Subjective Surfaces Method using the Finite Volume Technique	p. 585
Modeling and Simulation of Turbidity Currents	p. 593
Recursive Mesh Refinement for Vertex Centered FVM Applied to a 1-D Phase-Change Problem	p. 601
A Comparison of Second Order Schemes for Shallow Water Flows with Source Terms	p. 609
An A-Posteriori Error Bound for the Discrete Duality Finite Volume Discretization of the Laplace Equation and Application to the Adaptive Simulation in a Domain with a Crack	p. 617
Influence of Cell Geometry on the Behaviour of the First-Order Roe Scheme in the Low Mach Number Regime	p. 625
The Sub-Mesh Penalty Method	p. 633
A Non-Uniform Lattice Boltzmann Coupled to the Finite Volumes Method for Solving Phase Change Problems	p. 641
Two Types of Guaranteed (and Robust) A Posteriori Estimates for Finite Volume Methods	p. 649
Benchmark on Discretization Schemes for Anisotropic Diffusion Problems on General Grids	p. 659
Numerical Simulation for the Anisotropic Benchmark by a Vertex-Centred Finite Volume Method	p. 693
A Symmetric Finite Volume Scheme for Anisotropic Heterogeneous Second-order Elliptic Problems	p. 705
A Galerkin Finite Element Solution	p. 717
The DDFV "Discrete Duality Finite Volumes" and m-DDFV Schemes	p. 735
Use of the Mixed Finite Volume Method	p. 751
The Compact Discontinuous Galerkin Method for Elliptic Problems	p. 761
A Discontinuous Galerkin Flux for Anisotropic Heterogeneous Second-Order Elliptic Problems	p. 777
Using Lattice Boltzmann Scheme for Anisotropic Diffusion	p. 795
SUSHI: a Scheme Using Stabilization and Hybrid Interfaces for Anisotropic Heterogeneous Diffuson Problems	p. 801
Numerical Investigation of a Mimetic Finite Difference Method	p. 815
Numerical Results with Two Cell-Centered Finite Volume Schemes for Heterogeneous Anisotropic Diffusion Operators	p. 825
Mimetic Finite Difference Method	p. 843
Numerical Experiments with the DDFV Method	p. 851
The Mimetic Finite Difference Method	p. 865
A Mimetic Finite Difference Method	p. 879
Some MPFA Methods of DDFV Type	p. 891
Compact-Stencil MPFA Method for Heterogeneous Highly Anisotropic Second-Order Elliptic Problems	p. 905
Tests with the Discrete Duality Finite Volume Method	p. 919
Nonlinear Monotone Finite Volume Method	p. 935
Index of Authors	p. 949
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