Finite Volumes for Complex Applications VII-Elliptic, Parabolic and Hyperbolic Problems: FVCA 7, Berlin, June 2014 (Springer Proceedings in Mathematics & Statistics, 78)

The methods considered in the 7th conference on "Finite Volumes for Complex Applications" (Berlin, June 2014) have properties which offer distinct advantages for a number of applications. The second volume of the proceedings covers reviewed contributions reporting successful applications in the fields of fluid dynamics, magnetohydrodynamics, 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. Recent decades have brought significant success 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 level. This structural approach to the discretization of partial differential equations becomes particularly important for multiphysics and multiscale applications. Researchers, PhD and masters level students in numerical analysis, scientific computing and related fields such as partial differential equations will find this volume useful, as will engineers working in numerical modeling and simulations. Front Matter....Pages i-xviii Front Matter....Pages 469-469 Asymptotic-Preserving Methods for an Anisotropic Model of Electrical Potential in a Tokamak....Pages 471-478 Semi-implicit Second Order Accurate Finite Volume Method for Advection-Diffusion Level Set Equation....Pages 479-487 Adaptive Time Discretization and Linearization Based on a Posteriori Estimates for the Richards Equation....Pages 489-496 Monotone Combined Finite Volume-Finite Element Scheme for a Bone Healing Model....Pages 497-505 Vertex Approximate Gradient Scheme for Hybrid Dimensional Two-Phase Darcy Flows in Fractured Porous Media....Pages 507-515 Coupling of a Two Phase Gas Liquid Compositional 3D Darcy Flow with a 1D Compositional Free Gas Flow....Pages 517-525 Gradient Discretization of Hybrid Dimensional Darcy Flows in Fractured Porous Media....Pages 527-535 A Gradient Scheme for the Discretization of Richards Equation....Pages 537-545 Convergence of a Finite Volume Scheme for a Corrosion Model....Pages 547-555 High Performance Computing Linear Algorithms for Two-Phase Flow in Porous Media....Pages 557-565 Numerical Solution of Fluid-Structure Interaction by the Space-Time Discontinuous Galerkin Method....Pages 567-575 An Anisotropic Diffusion Finite Volume Algorithm Using a Small Stencil....Pages 577-585 Coupling of Fluid Flow and Solute Transport Using a Divergence-Free Reconstruction of the Crouzeix-Raviart Element....Pages 587-595 Activity Based Finite Volume Methods for Generalised Nernst-Planck-Poisson Systems....Pages 597-605 Suitable Formulations of Lagrange Remap Finite Volume Schemes for Manycore/GPU Architectures....Pages 607-616 Efficient Parallel Simulation of Atherosclerotic Plaque Formation Using Higher Order Discontinuous Galerkin Schemes....Pages 617-625 A DDFV Scheme for Incompressible Navier-Stokes Equations with Variable Density....Pages 627-635 An Efficient Implementation of a 3D CeVeFE DDFV Scheme on Cartesian Grids and an Application in Image Processing....Pages 637-645 MPFA Algorithm for Solving Stokes-Brinkman Equations on Quadrilateral Grids....Pages 647-654 Nonlinear Monotone FV Schemes for Radionuclide Geomigration and Multiphase Flow Models....Pages 655-663 Front Matter....Pages 469-469 Numerical Modelling of Viscous and Viscoelastic Fluids Flow in the Channel with T-Junction....Pages 665-673 Gradient Evaluation on a Quadtree Based Finite Volume Grid....Pages 675-683 3D Lagrangian Segmentation with Simultaneous Mesh Adjustment....Pages 685-693 A Model Reduction Framework for Efficient Simulation of Li-Ion Batteries....Pages 695-702 Coupling Free Flow and Porous Medium Flow Systems Using Sharp Interface and Transition Region Concepts....Pages 703-711 Convergence Analysis of a FV-FE Scheme for Partially Miscible Two-Phase Flow in Anisotropic Porous Media....Pages 713-721 Piecewise Linear Transformation in Diffusive Flux Discretizations....Pages 723-730 Comparison of Two Approaches for Treatment of the Interface Conditions in FV Discretization of Pore Scale Models for Li-Ion Batteries....Pages 731-738 Front Matter....Pages 739-739 A Finite Volume Method for Large-Eddy Simulation of Shallow Water Equations....Pages 741-748 An Asymptotic Preserving Scheme for the Barotropic Baer-Nunziato Model....Pages 749-757 Numerical Simulations of a Fluid-Particle Coupling....Pages 759-767 A Simple Finite Volume Approach to Compute Flows in Variable Cross-Section Ducts....Pages 769-777 A 1D Stabilized Finite Element Model for Non-hydrostatic Wave Breaking and Run-up....Pages 779-790 A Quasi-1D Model of Biomass Co-Firing in a Circulating Fluidized Bed Boiler....Pages 791-799 Simulation of Diluted Flow Regimes in Presence of Unsteady Boundaries....Pages 801-808 On the Use of the HLL-Scheme for the Simulation of the Multi-Species Euler Equations....Pages 809-816 A Conservative Well-Balanced Hybrid SPH Scheme for the Shallow-Water Model....Pages 817-825 Asymptotic-Preserving Scheme Based on a Finite Volume/Particle-In-Cell Coupling for Boltzmann-BGK-Like Equations in the Diffusion Scaling....Pages 827-835 Some Applications of a Two-Fluid Model....Pages 837-845 Numerical Simulation of Flow in a Meridional Plane of Multistage Turbine....Pages 847-855 Front Matter....Pages 739-739 Application of a Two-Fluid Model to Simulate the Heating of Two-Phase Flows....Pages 857-864 Modeling Phase Transition and Metastable Phases....Pages 865-872 Almost Parallel Flows in Porous Media....Pages 873-881 Towards a Stochastic Closure Approach for Large Eddy Simulation....Pages 883-890 A Well Balanced Scheme for a Transport Equation with Varying Velocity Arising in Relativistic Transfer Equation....Pages 891-899 An Arbitrary Space-Time High-Order Finite Volume Scheme for Gas Dynamics Equations in Curvilinear Coordinates on Polar Meshes....Pages 901-909 A Combined Finite Volume Discontinuous Galerkin Approach for the Sharp-Interface Tracking in Multi-Phase Flow....Pages 911-918 Numerical Simulation of an Incompressible Two-Fluid Model....Pages 919-926 On Boundary Approximation for Simulation of Granular Flow....Pages 927-934 Comparison of Realizable Schemes for the Eulerian Simulation of Disperse Phase Flows....Pages 935-943 Shock Capturing for Discontinuous Galerkin Methods using Finite Volume Subcells....Pages 945-953 A Simple Well-Balanced, Non-negative and Entropy-Satisfying Finite Volume Scheme for the Shallow-Water System....Pages 955-963 Well-Balanced Inundation Modeling for Shallow-Water Flows with Discontinuous Galerkin Schemes....Pages 965-973 Comparison of Cell-Centered and Staggered Pressure-Correction Schemes for All-Mach Flows....Pages 975-983 Back Matter....Pages 985-987