Finite Volumes for Complex Applications VIII - Hyperbolic, Elliptic and Parabolic Problems : FVCA 8, Lille, France, June 2017. 1st ed. 2017

種類:

電子ブック

責任表示:

edited by Clément Cancès, Pascal Omnes

出版情報:

Cham : Springer International Publishing : Imprint: Springer, 2017

著者名:

• Cancès, Clément.
• Omnes, Pascal.
• SpringerLink (Online service)

シリーズ名:

Springer Proceedings in Mathematics & Statistics ; 200

ISBN:

9783319573946 [3319573942]    

注記:

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 Chal
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

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