Finite Volumes for Complex Applications IX - Methods, Theoretical Aspects, Examples: Fvca 9, Bergen, Norway, June 2020, Klцfkorn Robert, Keilegavlen Eirik, Radu Florin A.
Описание: The first volume of the proceedings of the 7th conference on "Finite Volumes for Complex Applications" (Berlin, June 2014) covers topics that include convergence and stability analysis, as well as investigations of these methods from the point of view of compatibility with physical principles.
Описание: 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.
Описание: PART 1. Invited Papers. Chi-Wang Shu, Bound-preserving high order finite volume schemes for conservation laws and convection-diffusion equations.-E.D. Fernandez-Nieto, Some geophysical applications with finite volume solvers of two-layer and two-phase systems.-Thierry Gallouet, Some discrete functional analysis tools.-Yuanzhen Cheng, Alina Chertock and Alexander Kurganov, A Simple Finite-Volume Method on a Cartesian Mesh for Pedestrian Flows with Obstacles.- PART 2. Franck Boyer and Pascal Omnes, Benchmark on discretization methods for viscous incompressible flows. Benchmark proposal for the FVCA8 conference: Finite Volume methods for the Stokes and Navier-Stokes equations.-Louis Vittoz, Guillaume Oger, Zhe Li, Matthieu De Leffe and David Le Touze, A high-order Finite Volume solver on locally refined Cartesian meshes.-Daniele A. Di Pietro and Stella Krell, Benchmark session: The 2D Hybrid High-Order method.-Jerome Droniou and Robert Eymard, Benchmark: two Hybrid Mimetic Mixed schemes for the lid-driven cavity.-Eric Chenier, Robert Eymard and Raphaele Herbin, Results with a locally refined MAC scheme - benchmark session.-Sarah Delcourte and Pascal Omnes, Numerical results for a discrete duality finite volume discretization applied to the Navier-Stokes equations.-Franck Boyer and Stella Krell and Flore Nabet, Benchmark session: The 2D Discrete Duality Finite Volume Method.-P.-E. Angeli, M.-A. Puscas, G. Fauchet and A. Cartalade, FVCA8 benchmark for the Stokes and Navier-Stokes equations with the TrioCFD code - benchmark session.-PART 3. Theoretical Aspects of Finite Volumes. Franc, oise Foucher, Moustafa Ibrahim and Mazen Saad, Analysis of a Positive CVFE Scheme For Simulating Breast Cancer Development, Local Treatment and Recurrence.-Christoph Erath and Dirk Praetorius, Cйa-type quasi-optimality and convergence rates for (adaptive) vertexcentered FVM.-Helene Mathis and Nicolas Therme, Numerical convergence for a diffusive limit of the Goldstein-Taylor system on bounded domain.-Florian De Vuyst, Lagrange-Flux schemes and the entropy property.-Caterina Calgaro and Meriem Ezzoug, $L \infty$-stability of IMEX-BDF2 finite volume scheme for convection diffusion equation.-Raphaele Herbin, Jean-Claude Latche and Khaled Saleh, Low Mach number limit of a pressure correction MAC scheme for compressible barotropic flows.-T. Gallouet, R. Herbin, J.-C. Latche and K. Mallem, Convergence of the MAC scheme for variable density flows.-J. Droniou, J. Hennicker, R. Masson, Uniform-in-time convergence of numerical schemes for a two-phase discrete fracture model.-Claire Chainais-Hillairet, Benoıt Merlet and Antoine Zurek, Design and analysis of a finite volume scheme for a concrete carbonation model.-Rita Riedlbeck, Daniele A. Di Pietro, and Alexandre Ern, Equilibrated stress reconstructions for linear elasticity problems with application to a posteriori error analysis.-Patricio Farrell and Alexander Linke, Uniform Second Order Convergence of a Complete Flux Scheme on Nonuniform 1D Grids.-J. Droniou and R. Eymard, The asymmetric gradient discretisation method.-Robert Eymard and Cindy Guichard, DGM, an item of GDM.-Claire Chainais-Hillairet, Benoıt Merlet and Alexis F. Vasseur, Positive lower bound for the numerical solution of a convection-diffusion equation.-Franc, ois Dubois, Isabelle Greff and Charles Pierre, Raviart Thomas Petrov Galerkin Finite Elements.-Naveed Ahmed, Alexander Linke, and Christian Merdon, Towards pressure-robust mixed methods for the incompressible Navier-Stokes equations.-Thierry Goudon, Stella Krell and Giulia Lissoni, Numerical analysis of the DDFV method for the Stokes problem with mixed Neumann/Dirichlet boundary conditions.-J. Droniou, R. Eymard, T. Gallouet, C. Guichard and R. Herbin, An error estimate for the approximation of linear parabolic equations by the Gradient Discretization Method.-M. Bessemoulin-Chatard, C. Chainais-Hillairet, and A. Jungel, Uniform $L \infty$ estimates for ap
Описание: The first volume of the proceedings of the 7th conference on "Finite Volumes for Complex Applications" (Berlin, June 2014) covers topics that include convergence and stability analysis, as well as investigations of these methods from the point of view of compatibility with physical principles.
This first volume of the proceedings of the 8th conference on "Finite Volumes for Complex Applications" (Lille, June 2017) covers various topics including convergence and stability analysis, as well as investigations of these methods from the point of view of compatibility with physical principles. It collects together the focused invited papers comparing advanced numerical methods for Stokes and Navier-Stokes equations on a benchmark, as well as reviewed contributions from internationally leading researchers in the field of analysis of finite volume and related methods, offering a comprehensive overview of the state of the art in the field.
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 level. This structural approach to the discretization of partial differential equations becomes particularly important for multiphysics and multiscale applications.
The book is a valuable resource for researchers, PhD and master's level students in numerical analysis, scientific computing and related fields such as partial differential equations, as well as engineers working in numerical modeling and simulations.
PART 4. Hyperbolic Problems. David Iampietro, Frederic Daude, Pascal Galon, and Jean-Marc Herard, A Weighted Splitting Approach For Low-Mach Number Flows.-
Florence Hubert and Remi Tesson, Weno scheme for transport equation on unstructured grids with a DDFV approach.- M.J. Castro, J.M. Gallardo and A. Marquina, New types of Jacobian-free approximate Riemann solvers for hyperbolic systems.- Charles Demay, Christian Bourdarias, Benoıt de Laage de Meux, Stephane Gerbi and Jean-Marc Herard, A fractional step method to simulate mixed flows in pipes with a compressible two-layer model.- Theo Corot, A second order cell-centered scheme for Lagrangian hydrodynamics.- Clement Colas, Martin Ferrand, Jean-Marc Herard, Erwan Le Coupanec and Xavier Martin, An implicit integral formulation for the modeling of inviscid fluid flows in domains containing obstacles.- Christophe Chalons and Maxime Stauffert, A high-order Discontinuous Galerkin Lagrange Projection scheme for the barotropic Euler equations.- Christophe Chalons, Regis Duvigneau and Camilla Fiorini, Sensitivity analysis for the Euler equations in Lagrangian coordinates.- Jooyoung Hahn, Karol Mikula, Peter Frolkovic, and Branislav Basara, Semi-implicit level set method with inflow-based gradient in a polyhedron mesh.- Thierry Goudon, Julie Llobell and Sebastian Minjeaud, A staggered scheme for the Euler equations.- Christian Bourdarias, Stephane Gerbi and Ralph Lteif, A numerical scheme for the propagation of internal waves in an oceanographic model.- Hamza Boukili and Jean-Marc Herard, A splitting scheme for three-phase flow models.- M. J Castro, C. Escalante and T. Morales de Luna, Modelling and simulation of non-hydrostatic shallow flows.- Svetlana Tokareva and Eleuterio Toro, A flux splitting method for the Baer-Nunziato equations of compressible two-phase flow.- Mohamed Boubekeur and Fayssal Benkhaldoun and Mohammed Seaid, GPU accelerated finite volume methods for three-dimensional shallow water flows.- Ward Melis, Thomas Rey and Giovanni Samaey, Projective integration for nonlinear BGK kinetic equations.- Lei Zhang, Jean-Michel Ghidaglia and Anela Kumbaro, Asymptotic preserving property of a semi-implicit method.- Sebastien Boyaval, A Finite-Volume discretization of viscoelastic Saint-Venant equations for FENE-P fluids.- David Coulette, Emmanuel Franck, Philippe Helluy, Michel Mehrenberger, Laurent Navoret, Palindromic Discontinuous Galerkin Method.- M. Lukacova-Medvid'ova, J. Rosemeier, P. Spichtinger and B. Wiebe, IMEX finite volume methods for cloud simulation.- Raimund Burger and Ilja Kroker, Hybrid stochastic Galerkin finite volumes for the diffusively corrected Lighthill-Whitham-Richards traffic model.- Hamed Zakerzadeh, The RS-IMEX scheme for the rotating shallow water equations with the Coriolis force.- Emmanuel Audusse, Minh Hieu Do, Pascal Omnes, Yohan Penel, Analysis of Apparent Topography scheme for the linear wave equation with Coriolis force.- N. Aıssiouene, M-O. Bristeau, E. Godlewski, A. Mangeney, C. Pares and J. Sainte-Marie, Application of a combined finite element - finite volume method to a 2D non-hydrostatic shallow water problem.- Emanuela Abbate, Angelo Iollo and Gabriella Puppo, A relaxation scheme for the simulation of low Mach number flows.- Stefan Vater, Nicole Beisiegel and Jorn Behrens, Comparison of wetting and drying between a RKDG2 method and classical FV based second-order hydrostatic reconstruction.- Anja Jeschke, Stefan Vater and J]orn Behrens, A Discontinuous Galerkin Method for Non-Hydrostatic Shallow Water Flows.- Remi Abgrall and Paola Bacigaluppi, Design of a Second-Order Fully Explicit Residual Distribution Scheme for Compressible Multiphase Flows.- Martin Campos Pinto, An Unstructured Forward-Backward Lagrangian Scheme for Transport Problems.- Nicole Goutal, Minh-Hoang Le and Philippe Ung, A Godunov-type scheme for Shallow Water equations dedicated to simulations of overland flows on stepped slop
Описание: 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.
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 level. 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.
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