Finite Volumes for Complex Applications VI Problems & Perspectives: FVCA 6, International Symposium, Prague, June 6-10, 2011

Front Matter....Pages i-xvii
Front Matter....Pages 1-1
Volume-Agglomeration Coarse Grid In Schwarz Algorithm....Pages 3-11
A comparison between the meshless and the finite volume methods for shallow water flows....Pages 13-20
Time Compactness Tools for Discretized Evolution Equations and Applications to Degenerate Parabolic PDEs....Pages 21-29
Penalty Methods for the Hyperbolic System Modelling the Wall-Plasma Interaction in a Tokamak....Pages 31-38
A Spectacular Vector Penalty-Projection Method for Darcy and Navier-Stokes Problems....Pages 39-47
Numerical Front Propagation Using Kinematical Conservation Laws....Pages 49-57
Preservation of the Discrete Geostrophic Equilibrium in Shallow Water Flows....Pages 59-67
Arbitrary order nodal mimetic discretizations of elliptic problems on polygonal meshes....Pages 69-77
Adaptive cell-centered finite volume method for non-homogeneous diffusion problems: Application to transport in porous media....Pages 79-87
A Generalized Rusanov method for Saint-Venant Equations with Variable Horizontal Density....Pages 89-96
Hydrostatic Upwind Schemes for Shallow–Water Equations....Pages 97-105
Finite Volumes Asymptotic Preserving Schemes for Systems of Conservation Laws with Stiff Source Terms....Pages 107-115
Development of DDFV Methods for the Euler Equations....Pages 117-124
Comparison of Explicit and Implicit Time Advancing in the Simulation of a 2D Sediment Transport Problem....Pages 125-133
Numerical Simulation of the Flow in a Turbopump Inducer in Non-Cavitating and Cavitating Conditions....Pages 135-143
On Some High Resolution Schemes for Stably Stratified Fluid Flows....Pages 145-153
Convergence Analysis of the Upwind Finite Volume Scheme for General Transport Problems....Pages 155-163
A Low Degree Non–Conforming Approximation of the Steady Stokes Problem with an Eddy Viscosity....Pages 165-173
Some Abstract Error Estimates of a Finite Volume Scheme for the Wave Equation on General Nonconforming Multidimensional Spatial Meshes....Pages 175-183
A Convergent Finite Volume Scheme for Two-Phase Flows in Porous Media with Discontinuous Capillary Pressure Field....Pages 185-193
Front Matter....Pages 1-1
Uncertainty Quantification for a Clarifier–Thickener Model with Random Feed....Pages 195-203
Asymptotic preserving schemes in the quasi-neutral limit for the drift-diffusion system....Pages 205-213
A Posteriori Error Estimates for Unsteady Convection–Diffusion–Reaction Problems and the Finite Volume Method....Pages 215-223
Large Time-Step Numerical Scheme for the Seven-Equation Model of Compressible Two-Phase Flows....Pages 225-233
Asymptotic Behavior of the Scharfetter–Gummel Scheme for the Drift-Diffusion Model....Pages 235-243
A Finite Volume Solver for Radiation Hydrodynamics in the Non Equilibrium Diffusion Limit....Pages 245-252
An Extension of the MAC Scheme to some Unstructured Meshes....Pages 253-261
Multi-dimensional Optimal Order Detection (MOOD) — a Very High-Order Finite Volume Scheme for Conservation Laws on Unstructured Meshes....Pages 263-271
A Relaxation Approach for Simulating Fluid Flows in a Nozzle....Pages 273-281
A CeVeFE DDFV scheme for discontinuous anisotropic permeability tensors....Pages 283-291
Multi-Water-Bag Model And Method Of Moments For The Vlasov Equation....Pages 293-301
Comparison of Upwind and Centered Schemes for Low Mach Number Flows....Pages 303-311
On the Godunov Scheme Applied to the Variable Cross-Section Linear Wave Equation....Pages 313-321
Towards stabilization of cell-centered Lagrangian methods for compressible gas dynamics....Pages 323-329
Hybrid Finite Volume Discretization of Linear Elasticity Models on General Meshes....Pages 331-339
An A Posteriori Error Estimator for a Finite Volume Discretization of the Two-phase Flow....Pages 341-349
A Two-Dimensional Relaxation Scheme for the Hybrid Modelling of Two-Phase Flows....Pages 351-359
Finite Volume Method for Well-Driven Groundwater Flow....Pages 361-368
Adaptive Reduced Basis Methods for Nonlinear Convection–Diffusion Equations....Pages 369-377
Adaptive Time-Space Algorithms for the Simulation of Multi-scale Reaction Waves....Pages 379-387
Front Matter....Pages 1-1
Dispersive wave runup on non-uniform shores....Pages 389-397
MAC Schemes on Triangular Meshes....Pages 399-407
Multiphase Flow in Porous Media Using the VAG Scheme....Pages 409-417
Grid Orientation Effect and MultiPoint Flux Approximation....Pages 419-427
Gradient Schemes for Image Processing....Pages 429-437
Gradient Scheme Approximations for Diffusion Problems....Pages 439-447
Cartesian Grid Method for the Compressible Euler Equations....Pages 449-456
Compressible Stokes Problem with General EOS....Pages 457-465
Asymptotic Preserving Finite Volumes Discretization For Non-Linear Moment Model On Unstructured Meshes....Pages 467-474
Mass Conservative Coupling Between Fluid Flow and Solute Transport....Pages 475-483
Large Eddy Simulation of the Stable Boundary Layer....Pages 485-493
3D Unsteady Flow Simulation with the Use of the ALE Method....Pages 495-503
FVM-FEM Coupling and its Application to Turbomachinery....Pages 505-512
Charge Transport in Semiconductors and a Finite Volume Scheme....Pages 513-522
Playing with Burgers’s Equation....Pages 523-531
On Discrete Sobolev–Poincaré Inequalitiesfor Voronoi Finite Volume Approximations....Pages 533-541
A Simple Second Order Cartesian Scheme for Compressible Flows....Pages 543-551
Efficient Implementation of High Order Reconstruction in Finite Volume Methods....Pages 553-560
A Well-Balanced Scheme For Two-Fluid Flows In Variable Cross-Section ducts....Pages 561-569
Discretization of the viscous dissipation term with the MAC scheme....Pages 571-579
Front Matter....Pages 1-1
A Sharp Contact Discontinuity Scheme for Multimaterial Models....Pages 581-588
Numerical Simulation of Viscous and Viscoelastic Fluids Flow by Finite Volume Method....Pages 589-596
An Aggregation Based Algebraic Multigrid Method Applied to Convection-Diffusion Operators....Pages 597-604
Stabilized DDFV Schemes For The Incompressible Navier-Stokes Equations....Pages 605-612
Higher-Order Reconstruction: From Finite Volumes to Discontinuous Galerkin....Pages 613-621
Flux-Based Approach for Conservative Remap of Multi-Material Quantities in 2D Arbitrary Lagrangian-Eulerian Simulations....Pages 623-631
Optimized Riemann Solver to Compute the Drift-Flux Model....Pages 633-641
Finite Volume Schemes for Solving Nonlinear Partial Differential Equations in Financial Mathematics....Pages 643-651
Monotonicity Conditions in the Mimetic Finite Difference Method....Pages 653-661
Discrete Duality Finite Volume Method Applied to Linear Elasticity....Pages 663-671
Model Adaptation for Hyperbolic Systems with Relaxation....Pages 673-681
Inflow-Implicit/Outflow-Explicit Scheme for Solving Advection Equations....Pages 683-691
4D Numerical Schemes for Cell Image Segmentation and Tracking....Pages 693-701
Rhie-Chow interpolation for low Mach number flow computation allowing small time steps....Pages 703-711
Study and Approximation of IMPES Stability: the CFL Criteria....Pages 713-721
Numerical Solution of 2D and 3D Atmospheric Boundary Layer Stratified Flows....Pages 723-730
On The Numerical Validation Study of Stratified Flow Over 2D–Hill Test Case....Pages 731-739
A Multipoint Flux Approximation Finite Volume Scheme for Solving Anisotropic Reaction–Diffusion Systems in 3D....Pages 741-749
Higher Order Chimera Grid Interface for Transonic Turbomachinery Applications....Pages 751-759
Application of Nonlinear Monotone Finite Volume Schemes to Advection-Diffusion Problems....Pages 761-769
Front Matter....Pages 1-1
Scale-selective Time Integration for Long-Wave Linear Acoustics....Pages 771-779
Nonlocal Second Order Vehicular Traffic Flow Models And Lagrange-Remap Finite Volumes....Pages 781-789
Unsteady Numerical Simulation of the Turbulent Flow aroundan Exhaust Valve....Pages 791-799
Front Matter....Pages 801-801
A Unified Framework for a posteriori Error Estimation in Elliptic and Parabolic Problems with Application to Finite Volumes....Pages 803-819
Staggered discretizations, pressure correction schemes and all speed barotropic flows....Pages 821-837
ALE Method for Simulations of Laser-Produced Plasmas....Pages 839-855
A two-dimensional finite volume solution of dam-break hydraulics over erodible sediment beds....Pages 857-873
Front Matter....Pages 875-891
3D Benchmark on Discretization Schemes for Anisotropic Diffusion Problems on General Grids....Pages 893-893
Benchmark 3D: a linear finite element solver....Pages 895-930
Benchmark 3D: a version of the DDFV scheme with cell/vertex unknowns on general meshes....Pages 931-935
Benchmark 3D: Symmetric Weighted Interior Penalty Discontinuous Galerkin Scheme....Pages 937-948
Benchmark 3D: A Mimetic Finite Difference Method....Pages 949-959
Benchmark 3D: A Composite Hexahedral Mixed Finite Element....Pages 961-968
Benchmark 3D: CeVeFE-DDFV, a discrete duality scheme with cell/vertex/face+edge unknowns....Pages 969-976
Benchmark 3D: The Cell-Centered Finite Volume Method Using Least Squares Vertex Reconstruction (“Diamond Scheme”)....Pages 977-984
Benchmark 3D: A Monotone Nonlinear Finite Volume Method for Diffusion Equations on Polyhedral Meshes....Pages 985-992
Benchmark 3D: the SUSHI Scheme....Pages 993-1003
Benchmark 3D: the VAG scheme....Pages 1005-1012
Benchmark 3D: The Compact Discontinuous Galerkin 2 Scheme....Pages 1013-1022
Front Matter....Pages 1023-1033
Benchmark 3D: Mimetic Finite Difference Method for Generalized Polyhedral Meshes....Pages 893-893
Benchmark 3D: CeVe-DDFV, a Discrete Duality Scheme with Cell/Vertex Unknowns....Pages 1035-1042
Benchmark 3D: A multipoint flux mixed finite element method on general hexahedra....Pages 1043-1053
....Pages 1055-1065