An asymptotic-preserving method for a relaxation of the NavierStokes-Korteweg equations

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Title: An asymptotic-preserving method for a relaxation of the NavierStokes-Korteweg equations
Authors: Chertock, A
Degond, PAA
Neusser, J
Item Type: Journal Article
Abstract: The Navier-Stokes-Korteweg (NSK) equations are a classica l diffuse-interface model for compressible two-phase flows. As direct numerical simulations based on the NSK system are quite expensive and in some cases even im possible, we consider a relaxation of the NSK system, for which robust num erical methods can be designed. However, time steps for explicit numerical schemes depend on the relaxation parameter and therefore numerical simulati ons in the relaxation limit are very inefficient. To overcome this restriction, we p ropose an implicit- explicit asymptotic-preserving finite volume method. We pr ove that the new scheme provides a consistent discretization of the NSK syst em in the relaxation limit and demonstrate that it is capable of accurately and effi ciently computing numerical solutions of problems with realistic density rat ios and small interfacial widths.
Issue Date: 24-Jan-2017
Date of Acceptance: 17-Jan-2017
URI: http://hdl.handle.net/10044/1/44103
DOI: https://dx.doi.org/10.1016/j.jcp.2017.01.030
ISSN: 0021-9991
Publisher: Elsevier
Start Page: 387
End Page: 4003
Journal / Book Title: Journal of Computational Physics
Volume: 335
Copyright Statement: © 2017 The Author(s). Published by Elsevier Inc. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/).
Sponsor/Funder: The Royal Society
Engineering & Physical Science Research Council (EPSRC)
Funder's Grant Number: WM130048
EP/M006883/1
Keywords: Science & Technology
Technology
Physical Sciences
Computer Science, Interdisciplinary Applications
Physics, Mathematical
Computer Science
Physics
Asymptotic-preserving scheme
Diffuse-interface model
Compressible flow with phase transition
DIFFUSE INTERFACE MODEL
FINITE-ELEMENT-METHOD
LIQUID-VAPOR FLOWS
PHASE-TRANSITIONS
ISENTROPIC EULER
SPEED SCHEME
SYSTEMS
APPROXIMATION
CONVERGENCE
VISCOSITY
Applied Mathematics
01 Mathematical Sciences
02 Physical Sciences
09 Engineering
Publication Status: Published
Appears in Collections:Mathematics
Applied Mathematics and Mathematical Physics
Faculty of Natural Sciences



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