Finite Volumes for Complex Applications VII-Methods and Theoretical Aspects: FVCA 7, Berlin, June 2014

Front Matter....Pages i-xviii
Front Matter....Pages 1-1
Low Mach Number Modeling of Stratified Flows....Pages 3-15
Entropy Method and Asymptotic Behaviours of Finite Volume Schemes....Pages 17-35
Interpolated Pressure Laws in Two-Fluid Simulations and Hyperbolicity....Pages 37-53
Front Matter....Pages 55-55
An ALE Formulation for Explicit Runge-Kutta Residual Distribution....Pages 57-65
Gradient Schemes for an Obstacle Problem....Pages 67-75
The Complete Flux Scheme in Cylindrical Coordinates....Pages 77-85
A Staggered Scheme with Non-conforming Refinement for the Navier-Stokes Equations....Pages 87-95
Consistency Analysis of a 1D Finite Volume Scheme for Barotropic Euler Models....Pages 97-105
An Asymptotic-Preserving Scheme for Systems of Conservation Laws with Source Terms on 2D Unstructured Meshes....Pages 107-115
Numerical Dissipation and Dispersion of the Homogeneous and Complete Flux Schemes....Pages 117-125
A New Finite Volume Scheme for a Linear Schrödinger Evolution Equation....Pages 127-135
A Note on a New Second Order Approximation Based on a Low–Order Finite Volume Scheme for the Wave Equation in One Space Dimension....Pages 137-147
Note on the Convergence of a Finite Volume Scheme Using a General Nonconforming Mesh for an Oblique Derivative Boundary Value Problem....Pages 149-157
Conservative Finite Differences as an Alternative to Finite Volume for Compressible Flows....Pages 159-167
FV Upwind Stabilization of FE Discretizations for Advection–Diffusion Problems....Pages 169-176
Entropy-Diminishing CVFE Scheme for Solving Anisotropic Degenerate Diffusion Equations....Pages 177-185
A Finite Volume Scheme with the Discrete Maximum Principle for Diffusion Equations on Polyhedral Meshes....Pages 187-196
Continuous Finite-Elements on Non-Conforming Grids Using Discontinuous Galerkin Stabilization....Pages 197-205
A Well-Balanced Scheme for the Euler Equation with a Gravitational Potential....Pages 207-215
Front Matter....Pages 217-226
An Explicit Staggered Finite Volume Scheme for the Shallow Water Equations....Pages 55-55
A Uniformly Converging Scheme for Fractal Conservation Laws....Pages 227-235
Uniform-in-Time Convergence of Numerical Schemes for Richards’ and Stefan’s Models....Pages 237-245
Comparison of Two Couplings of the Finite Volume Method and the Boundary Element Method....Pages 247-254
Gradient Schemes for Stokes Problem....Pages 255-263
Uniform Estimate of the Relative Free Energy by the Dissipation Rate for Finite Volume Discretized Reaction-Diffusion Systems....Pages 265-273
Modified Finite Volume Nodal Scheme for Euler Equations with Gravity and Friction....Pages 275-283
A Linearity-Preserving Cell-Centered Scheme for the Anisotropic Diffusion Equations....Pages 285-292
Convergence of Finite Volume Scheme for Degenerate Parabolic Problem with Zero Flux Boundary Condition....Pages 293-301
On Aposteriori Error Analysis of DG Schemes Approximating Hyperbolic Conservation Laws....Pages 303-311
Estimating the Geometric Error of Finite Volume Schemes for Conservation Laws on Surfaces for Generic Numerical Flux Functions....Pages 313-321
Semi-implicit Alternating Discrete Duality Finite Volume Scheme for Curvature Driven Level Set Equation....Pages 323-331
Convergence of the MAC Scheme for the Steady-State Incompressible Navier-Stokes Equations on Non-uniform Grids....Pages 333-342
Stochastic Modeling for Heterogeneous Two-Phase Flow....Pages 343-351
A New Discretization Method for the Convective Terms in the Incompressible Navier-Stokes Equations....Pages 353-361
Mimetic Finite Difference Schemes with Conditional Maximum Principle for Diffusion Problems....Pages 363-371
Discrete Relative Entropy for the Compressible Stokes System....Pages 373-381
A Mixed Explicit Implicit Time Stepping Scheme for Cartesian Embedded Boundary Meshes....Pages 383-392
Finite-Volume Analysis for the Cahn-Hilliard Equation with Dynamic Boundary Conditions....Pages 393-400
Weak Convergence of Nonlinear Finite Volume Schemes for Linear Hyperbolic Systems....Pages 401-409
Front Matter....Pages 411-419
A-Posteriori Error Estimates for the Localized Reduced Basis Multi-Scale Method....Pages 55-55
Positivity Preserving Implicit and Partially Implicit Time Integration Methods in the Context of the DG Scheme Applied to Shallow Water Flows....Pages 421-429
Convergence of a Nonlinear Scheme for Anisotropic Diffusion Equations....Pages 431-438
A Hydrodynamic Model for Dispersive Waves Generated by Bottom Motion....Pages 439-447
A Conservative Coupling of Level-Set, Volume-of-Fluid and Other Conserved Quantities....Pages 449-456
Back Matter....Pages 457-465
....Pages 467-468