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Finite Volumes for Complex Applications IX - Methods, Theoretical Aspects, Examples

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Cover of 'Finite Volumes for Complex Applications IX - Methods, Theoretical Aspects, Examples'

Table of Contents

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    Book Overview
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    Chapter 1 Interplay Between Diffusion Anisotropy and Mesh Skewness in Hybrid High-Order Schemes
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    Chapter 2 $$\mathscr {K}$$ -Convergence of Finite Volume Solutions of the Euler Equations
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    Chapter 3 Time-Dependent Conservation Laws on Cut Cell Meshes and the Small Cell Problem
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    Chapter 4 Reactive Flow in Fractured Porous Media
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    Chapter 5 Numerical Schemes for Semiconductors Energy-Transport Models
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    Chapter 6 Compatible Discrete Operator Schemes for the Steady Incompressible Stokes and Navier–Stokes Equations
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    Chapter 7 On the Significance of Pressure-Robustness for the Space Discretization of Incompressible High Reynolds Number Flows
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    Chapter 8 Well-Balanced Discretisation for the Compressible Stokes Problem by Gradient-Robustness
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    Chapter 9 A Second Order Consistent MAC Scheme for the Shallow Water Equations on Non Uniform Grids
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    Chapter 10 Post-processing of Fluxes for Finite Volume Methods for Elliptic Problems
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    Chapter 11 Exponential Decay to Equilibrium of Nonlinear DDFV Schemes for Convection-Diffusion Equations
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    Chapter 12 $$L^\infty $$ Bounds for Numerical Solutions of Noncoercive Convection-Diffusion Equations
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    Chapter 13 On Four Numerical Schemes for a Unipolar Degenerate Drift-Diffusion Model
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    Chapter 14 Non-isothermal Scharfetter–Gummel Scheme for Electro-Thermal Transport Simulation in Degenerate Semiconductors
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    Chapter 15 Entropy Diminishing Finite Volume Approximation of a Cross-Diffusion System
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    Chapter 16 TPFA Finite Volume Approximation of Wasserstein Gradient Flows
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    Chapter 17 Free Energy Diminishing Discretization of Darcy-Forchheimer Flow in Poroelastic Media
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    Chapter 18 Energy Stable Discretization for Two-Phase Porous Media Flows
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    Chapter 19 A Finite-Volume Scheme for a Cross-Diffusion Model Arising from Interacting Many-Particle Population Systems
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    Chapter 20 Finite Volume Method for a System of Continuity Equations Driven by Nonlocal Interactions
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    Chapter 21 A Macroscopic Model to Reproduce Self-organization at Bottlenecks
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    Chapter 22 A Three-Dimensional Hybrid High-Order Method for Magnetostatics
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    Chapter 23 Hyperbolic Conservation Laws with Stochastic Discontinuous Flux Functions
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    Chapter 24 Convergence of a Finite-Volume Scheme for a Heat Equation with a Multiplicative Stochastic Force
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    Chapter 25 A New Gradient Scheme of a Time Fractional Fokker–Planck Equation with Time Independent Forcing and Its Convergence Analysis
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    Chapter 26 The Gradient Discretisation Method for Two-Phase Discrete Fracture Matrix Models in Deformable Porous Media
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    Chapter 27 A New Optimal $$L^{\infty }(H^1)$$ –Error Estimate of a SUSHI Scheme for the Time Fractional Diffusion Equation
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    Chapter 28 Note on the Convergence of a Finite Volume Scheme for a Second Order Hyperbolic Equation with a Time Delay in Any Space Dimension
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    Chapter 29 A Cell-Centered Finite Volume Method for the Navier–Stokes/Biot Model
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    Chapter 30 Convergence Study of a DDFV Scheme for the Navier-Stokes Equations Arising in the Domain Decomposition Setting
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    Chapter 31 Interface Conditions for Arbitrary Flows in Coupled Porous-Medium and Free-Flow Systems
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    Chapter 32 On the Convergence Rate of the Dirichlet-Neumann Iteration for Coupled Poisson Problems on Unstructured Grids
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    Chapter 33 Optimized Overlapping DDFV Schwarz Algorithms
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    Chapter 34 Model Adaptation of Balance Laws Based on A Posteriori Error Estimates and Surrogate Fluxes
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    Chapter 35 Robust Newton Solver Based on Variable Switch for a Finite Volume Discretization of Richards Equation
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    Chapter 36 Acceleration of Newton’s Method Using Nonlinear Jacobi Preconditioning
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    Chapter 37 A Finite Volume Method for a Convection-Diffusion Equation Involving a Joule Term
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    Chapter 38 On the $$L^2$$ Stability of Finite Volumes for Stationary First Order Systems
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    Chapter 39 A New Class of $$L^2$$ -Stable Schemes for the Isentropic Euler Equations on Staggered Grids
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    Chapter 40 Convergence of a TPFA Finite Volume Scheme for Mixed-Dimensional Flow Problems
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    Chapter 41 A Relaxation Method for the Simulation of Possibly Non-hyperbolic Polymer Flooding Models with Inaccessible Pore Volume Effect
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    Chapter 42 The FVC Scheme on Unstructured Meshes for the Two-Dimensional Shallow Water Equations
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    Chapter 43 Numerical Analysis of a Finite Volume Scheme for the Optimal Control of Groundwater Pollution
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    Chapter 44 Space-Time Discontinuous Galerkin Methods for Linear Hyperbolic Systems and the Application to the Forward Problem in Seismic Imaging
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    Chapter 45 A Hybrid Discontinuous Galerkin Method for Transport Equations on Networks
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    Chapter 46 MUSCL Discretization for the Fluid Flow Convection Operator on Staggered Meshes
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    Chapter 47 An Active Flux Method for Cut Cell Grids
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    Chapter 48 Finite Volume Discretisation of Fracture Deformation in Thermo-poroelastic Media
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    Chapter 49 A Control Volume Finite Element Formulation with Subcell Reconstruction for Phase-Field Fracture
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    Chapter 50 A Conservative Phase-Field Model for Reactive Transport
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    Chapter 51 A Fully Conforming Finite Volume Approach to Two-Phase Flow in Fractured Porous Media
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    Chapter 52 Monotone Embedded Discrete Fracture Method for the Two-Phase Flow Model
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    Chapter 53 A Robust VAG Scheme for a Two-Phase Flow Problem in Heterogeneous Porous Media
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    Chapter 54 Design of Coupled Finite Volume Schemes Minimizing the Grid Orientation Effect in Reservoir Simulation
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    Chapter 55 A Comparison of Consistent Discretizations for Elliptic Problems on Polyhedral Grids
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    Chapter 56 Global Implicit Solver for Multiphase Multicomponent Flow in Porous Media with Multiple Gas Phases and General Reactions
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    Chapter 57 Partitioned Coupling Schemes for Free-Flow and Porous-Media Applications with Sharp Interfaces
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    Chapter 58 Challenges in Drift-Diffusion Semiconductor Simulations
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    Chapter 59 Unipolar Drift-Diffusion Simulation of S-Shaped Current-Voltage Relations for Organic Semiconductor Devices
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    Chapter 60 A Second Order Numerical Scheme for Large-Eddy Simulation of Compressible Flows
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    Chapter 61 A Marker-and-Cell Scheme for Viscoelastic Flows on Non Uniform Grids
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    Chapter 62 A Numerical Convergence Study of Some Open Boundary Conditions for Euler Equations
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    Chapter 63 Simulation of a Liquid-Vapour Compressible Flow by a Lattice Boltzmann Method
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    Chapter 64 Discontinuous Galerkin Method for Incompressible Two-Phase Flows
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    Chapter 65 High-Order Numerical Methods for Compressible Two-Phase Flows
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    Chapter 66 A Python Framework for Solving Advection-Diffusion Problems
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    Chapter 67 3-Dimensional Particulate Flow Modelling Using a Viscous Penalty Combined with a Stable Projection Scheme
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    Chapter 68 Data Assimilation for Ocean Drift Trajectories Using Massive Ensembles and GPUs
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    Chapter 69 Application of an Unstructured Finite Volume Method to the Shallow Water Equations with Porosity for Urban Flood Modelling
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    Chapter 70 Semi-implicit Two-Speed Well-Balanced Relaxation Scheme for Ripa Model
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    Chapter 71 Kinetic Over-Relaxation Method for the Convection Equation with Fourier Solver
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    Chapter 72 Cell-Centered Finite Volume Method for Regularized Mean Curvature Flow on Polyhedral Meshes
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    Chapter 73 A Fully Eulerian Finite Volume Method for the Simulation of Fluid-Structure Interactions on AMR Enabled Quadtree Grids
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Title
Finite Volumes for Complex Applications IX - Methods, Theoretical Aspects, Examples
Published by
Springer International Publishing, June 2020
DOI 10.1007/978-3-030-43651-3
ISBNs
978-3-03-043650-6, 978-3-03-043651-3
Editors

Klöfkorn, Robert, Keilegavlen, Eirik, Radu, Florin A., Fuhrmann, Jürgen

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