Finite Volumes for Complex Applications VIII - Hyperbolic, Elliptic and Parabolic Problems: FVCA 8, Lille, France, June 2017 (Springer Proceedings in Mathematics & Statistics, 200)

This book is the second volume of proceedings of the 8th conference on "Finite Volumes for Complex Applications" (Lille, June 2017). It includes reviewed contributions reporting successful applications in the fields of fluid dynamics, computational geosciences, structural analysis, nuclear physics, semiconductor theory and other topics. The finite volume method in its various forms is a space discretization technique for partial differential equations based on the fundamental physical principle of conservation, and recent decades have brought significant advances in the theoretical understanding of the method. Many finite volume methods preserve further qualitative or asymptotic properties, including maximum principles, dissipativity, monotone decay of free energy, and asymptotic stability. Due to these properties, finite volume methods belong to the wider class of compatible discretization methods, which preserve qualitative properties of continuous problems at the discrete l evel. This structural approach to the discretization of partial differential equations becomes particularly important for multiphysics and multiscale applications. The book is useful for researchers, PhD and master's level students in numerical analysis, scientific computing and related fields such as partial differential equations, as well as for engineers working in numerical modeling and simulations. Front Matter....Pages i-xiii Front Matter....Pages 1-1 A Weighted Splitting Approach for Low-Mach Number Flows....Pages 3-11 Weno Scheme for Transport Equation on Unstructured Grids with a DDFV Approach....Pages 13-21 New Types of Jacobian-Free Approximate Riemann Solvers for Hyperbolic Systems....Pages 23-31 A Fractional Step Method to Simulate Mixed Flows in Pipes with a Compressible Two-Layer Model....Pages 33-41 A Second Order Cell-Centered Scheme for Lagrangian Hydrodynamics....Pages 43-51 An Implicit Integral Formulation for the Modeling of Inviscid Fluid Flows in Domains Containing Obstacles ....Pages 53-61 A High-Order Discontinuous Galerkin Lagrange Projection Scheme for the Barotropic Euler Equations....Pages 63-70 Sensitivity Analysis for the Euler Equations in Lagrangian Coordinates ....Pages 71-79 Semi-implicit Level Set Method with Inflow-Based Gradient in a Polyhedron Mesh....Pages 81-89 A Staggered Scheme for the Euler Equations....Pages 91-99 A Numerical Scheme for the Propagation of Internal Waves in an Oceanographic Model....Pages 101-108 A Splitting Scheme for Three-Phase Flow Models ....Pages 109-117 Modelling and Simulation of Non-hydrostatic Shallow Flows....Pages 119-126 A Flux Splitting Method for the Baer-Nunziato Equations of Compressible Two-Phase Flow....Pages 127-135 GPU Accelerated Finite Volume Methods for Three-Dimensional Shallow Water Flows....Pages 137-144 Projective Integration for Nonlinear BGK Kinetic Equations ....Pages 145-153 Asymptotic Preserving Property of a Semi-implicit Method....Pages 155-162 A Finite-Volume Discretization of Viscoelastic Saint-Venant Equations for FENE-P Fluids....Pages 163-170 Palindromic Discontinuous Galerkin Method....Pages 171-178 IMEX Finite Volume Methods for Cloud Simulation....Pages 179-187 Front Matter....Pages 1-1 Hybrid Stochastic Galerkin Finite Volumes for the Diffusively Corrected Lighthill-Whitham-Richards Traffic Model....Pages 189-197 The RS-IMEX Scheme for the Rotating Shallow Water Equations with the Coriolis Force....Pages 199-207 Analysis of Apparent Topography Scheme for the Linear Wave Equation with Coriolis Force....Pages 209-217 Application of a Combined Finite Element—Finite Volume Method to a 2D Non-hydrostatic Shallow Water Problem....Pages 219-226 A Relaxation Scheme for the Simulation of Low Mach Number Flows....Pages 227-235 Comparison of Wetting and Drying Between a RKDG2 Method and Classical FV Based Second-Order Hydrostatic Reconstruction....Pages 237-245 A Discontinuous Galerkin Method for Non-hydrostatic Shallow Water Flows....Pages 247-255 Design of a Second-Order Fully Explicit Residual Distribution Scheme for Compressible Multiphase Flows....Pages 257-264 An Unstructured Forward-Backward Lagrangian Scheme for Transport Problems....Pages 265-273 A Godunov-Type Scheme for Shallow Water Equations Dedicated to Simulations of Overland Flows on Stepped Slopes....Pages 275-283 Two Models for the Computation of Laminar Flames in Dust Clouds....Pages 285-293 High Order Finite Volume Scheme and Conservative Grid Overlapping Technique for Complex Industrial Applications....Pages 295-303 Front Matter....Pages 305-305 Discontinuous Finite Volume Element Methods for the Optimal Control of Brinkman Equations....Pages 307-315 Non-isothermal Compositional Two-Phase Darcy Flow: Formulation and Outflow Boundary Condition....Pages 317-325 Numerical Scheme for a Stratigraphic Model with Erosion Constraint and Nonlinear Gravity Flux....Pages 327-335 Comparison of Adaptive Non-symmetric and Three-Field FVM-BEM Coupling....Pages 337-345 On the Conditions for Coupling Free Flow and Porous-Medium Flow in a Finite Volume Framework....Pages 347-356 Non-conforming Localized Model Reduction with Online Enrichment: Towards Optimal Complexity in PDE Constrained Optimization....Pages 357-365 Combining the Hybrid Mimetic Mixed Method and the Eulerian Lagrangian Localised Adjoint Method for Approximating Miscible Flows in Porous Media....Pages 367-376 Mixed Finite Volume Methods for Linear Elasticity....Pages 377-385 Front Matter....Pages 305-305 A Nonlinear Domain Decomposition Method to Couple Compositional Gas Liquid Darcy and Free Gas Flows....Pages 387-395 Hybrid Finite-Volume/Finite-Element Schemes for p(x)-Laplace Thermistor Models....Pages 397-405 Finite Volume Scheme for Coupling Two–Phase Flow with Reactive Transport in Porous Media....Pages 407-415 Nonlinear Finite-Volume Scheme for Complex Flow Processes on Corner-Point Grids....Pages 417-425 Consistent Nonlinear Solver for Solute Transport in Variably Saturated Porous Media....Pages 427-435 A Two-Dimensional Complete Flux Scheme in Local Flow Adapted Coordinates....Pages 437-445 hp–Adaptive Discontinuous Galerkin Methods for Porous Media Flow....Pages 447-456 A Nonlinear Flux Approximation Scheme for the Viscous Burgers Equation....Pages 457-465 Mimetic Staggered Discretization of Incompressible Navier–Stokes for Barycentric Dual Mesh....Pages 467-475 A Reduced-Basis Approach to Two-Phase Flow in Porous Media....Pages 477-486 On the Capillary Pressure in Basin Modeling....Pages 487-495 A Finite Volume Scheme for Nernst-Planck-Poisson Systems with Ion Size and Solvation Effects....Pages 497-505 A Nonlinear Correction FV Scheme for Near-Well Regions ....Pages 507-516 A Hybrid High-Order Method for the Convective Cahn–Hilliard Problem in Mixed Form ....Pages 517-525 A Hybrid Finite Volume—Finite Element Method for Modeling Flows in Fractured Media ....Pages 527-535 A Nonconforming High-Order Method for Nonlinear Poroelasticity....Pages 537-545 New Criteria for Mesh Adaptation in Finite Volume Simulation of Planar Ionization Wavefront Propagation....Pages 547-555 Back Matter....Pages 557-559