Computations of compressible multifluids

By Rémi Abgrall, Smadar Karni. 2001

576 citations recorded by the source corpus.

Subfields: Applied Mathematics, Computational Mechanics

View Paper: https://www.semanticscholar.org/paper/2993944eb4fa7179e881a5af3f1abb32b0c0a997

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In Applied Mathematics

In Computational Mechanics

Citations in the corpus

An interface interaction method for compressible multifluids (2004, methodology): “We compute a more stiff shock tube problem where the initial pressure difference is much larger and which is taken from from Abgrall and Karni (2001).”
Simple and efficient relaxation methods for interfaces separating compressible fluids, cavitating flows and shocks in multiphase mixtures (2009, methodology): “[16] with the Ghost Fluid Method, Abgrall and Karni [2] with a simplified version of this method and Khoo et al.”
A five-equation model for the simulation of interfaces between compressible fluids (2002, methodology): “Let us mention also some other recent numerical methods such as [3, 18].”
Implementation of WENO schemes in compressible multicomponent flow problems (2005, methodology): “In the Ghost Fluid Method [10] and simplified versions thereof [2,22], thermodynamically similar variables are added across interfaces to complete stencils.”
Ghost fluid method for strong shock impacting on material interface (2003, background): “A good summary may be found in [4].”
Enthalpy Diffusion in Multicomponent Flows (2008, background): “Euler solvers are cheap; however, they are notorious for generating spurious oscillations at material interfaces [3, 4].”
The ghost fluid method for compressible gas-water simulation (2005, methodology): “[20] and the GFM algorithm by Aslam [3,4], where the Riemann solver is employed to define the ghost fluid status (globally for the latter while it is locally applied near the interface for the former), the general procedures used to define the ghost fluid status as found in the literature [2,5,12,13”
Free-Surface Viscous Flow Solution Methods for Ship Hydrodynamics (2011, methodology): “[1]) use this term to denote methods that are capturing and surface methods according to the classifications above, others have used it to denote fitting methods.”