Finite Volumes for Complex Applications VII-Methods and Theoretical Aspects

Table of Contents

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   Book Overview
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   Chapter 1 Low Mach Number Modeling of Stratified Flows
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   Chapter 2 Entropy Method and Asymptotic Behaviours of Finite Volume Schemes
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   Chapter 3 Interpolated Pressure Laws in Two-Fluid Simulations and Hyperbolicity
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   Chapter 4 An ALE Formulation for Explicit Runge-Kutta Residual Distribution
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   Chapter 5 Gradient Schemes for an Obstacle Problem
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   Chapter 6 The Complete Flux Scheme in Cylindrical Coordinates
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   Chapter 7 A Staggered Scheme with Non-conforming Refinement for the Navier-Stokes Equations
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   Chapter 8 Consistency Analysis of a 1D Finite Volume Scheme for Barotropic Euler Models
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    Chapter 9 An Asymptotic-Preserving Scheme for Systems of Conservation Laws with Source Terms on 2D Unstructured Meshes
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    Chapter 10 Numerical Dissipation and Dispersion of the Homogeneous and Complete Flux Schemes
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    Chapter 11 A New Finite Volume Scheme for a Linear Schrödinger Evolution Equation
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    Chapter 12 A Note on a New Second Order Approximation Based on a Low–Order Finite Volume Scheme for the Wave Equation in One Space Dimension
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    Chapter 13 Note on the Convergence of a Finite Volume Scheme Using a General Nonconforming Mesh for an Oblique Derivative Boundary Value Problem
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    Chapter 14 Optimal and Pressure-Independent $$L^2$$ L 2 Velocity Error Estimates for a Modified Crouzeix-Raviart Element with BDM Reconstructions
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    Chapter 15 Conservative Finite Differences as an Alternative to Finite Volume for Compressible Flows
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    Chapter 16 FV Upwind Stabilization of FE Discretizations for Advection–Diffusion Problems
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    Chapter 17 Entropy-Diminishing CVFE Scheme for Solving Anisotropic Degenerate Diffusion Equations
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    Chapter 18 A Finite Volume Scheme with the Discrete Maximum Principle for Diffusion Equations on Polyhedral Meshes
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    Chapter 19 Continuous Finite-Elements on Non-Conforming Grids Using Discontinuous Galerkin Stabilization
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    Chapter 20 A Well-Balanced Scheme for the Euler Equation with a Gravitational Potential
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    Chapter 21 An Explicit Staggered Finite Volume Scheme for the Shallow Water Equations
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    Chapter 22 A Uniformly Converging Scheme for Fractal Conservation Laws
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    Chapter 23 Uniform-in-Time Convergence of Numerical Schemes for Richards’ and Stefan’s Models
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    Chapter 24 Comparison of Two Couplings of the Finite Volume Method and the Boundary Element Method
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    Chapter 25 Gradient Schemes for Stokes Problem
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    Chapter 26 Uniform Estimate of the Relative Free Energy by the Dissipation Rate for Finite Volume Discretized Reaction-Diffusion Systems
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    Chapter 27 Modified Finite Volume Nodal Scheme for Euler Equations with Gravity and Friction
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    Chapter 28 A Linearity-Preserving Cell-Centered Scheme for the Anisotropic Diffusion Equations
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    Chapter 29 Convergence of Finite Volume Scheme for Degenerate Parabolic Problem with Zero Flux Boundary Condition
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    Chapter 30 On Aposteriori Error Analysis of DG Schemes Approximating Hyperbolic Conservation Laws
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    Chapter 31 Estimating the Geometric Error of Finite Volume Schemes for Conservation Laws on Surfaces for Generic Numerical Flux Functions
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    Chapter 32 Semi-implicit Alternating Discrete Duality Finite Volume Scheme for Curvature Driven Level Set Equation
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    Chapter 33 Convergence of the MAC Scheme for the Steady-State Incompressible Navier-Stokes Equations on Non-uniform Grids
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    Chapter 34 Stochastic Modeling for Heterogeneous Two-Phase Flow
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    Chapter 35 A New Discretization Method for the Convective Terms in the Incompressible Navier-Stokes Equations
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    Chapter 36 Mimetic Finite Difference Schemes with Conditional Maximum Principle for Diffusion Problems
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    Chapter 37 Discrete Relative Entropy for the Compressible Stokes System
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    Chapter 38 A Mixed Explicit Implicit Time Stepping Scheme for Cartesian Embedded Boundary Meshes
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    Chapter 39 Finite-Volume Analysis for the Cahn-Hilliard Equation with Dynamic Boundary Conditions
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    Chapter 40 Weak Convergence of Nonlinear Finite Volume Schemes for Linear Hyperbolic Systems
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    Chapter 41 A-Posteriori Error Estimates for the Localized Reduced Basis Multi-Scale Method
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    Chapter 42 Positivity Preserving Implicit and Partially Implicit Time Integration Methods in the Context of the DG Scheme Applied to Shallow Water Flows
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    Chapter 43 Convergence of a Nonlinear Scheme for Anisotropic Diffusion Equations
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    Chapter 44 A Hydrodynamic Model for Dispersive Waves Generated by Bottom Motion
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    Chapter 45 A Conservative Coupling of Level-Set, Volume-of-Fluid and Other Conserved Quantities