Imperial College London

ProfessorPierreDegond

Faculty of Natural SciencesDepartment of Mathematics

Chair in Applied Mathematics
 
 
 
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Contact

 

+44 (0)20 7594 1474p.degond Website CV

 
 
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Location

 

6M38Huxley BuildingSouth Kensington Campus

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Summary

 

Publications

Citation

BibTex format

@article{Chertock:2017:10.1016/j.jcp.2017.01.030,
author = {Chertock, A and Degond, PAA and Neusser, J},
doi = {10.1016/j.jcp.2017.01.030},
journal = {Journal of Computational Physics},
pages = {387--4003},
title = {An asymptotic-preserving method for a relaxation of the NavierStokes-Korteweg equations},
url = {http://dx.doi.org/10.1016/j.jcp.2017.01.030},
volume = {335},
year = {2017}
}

RIS format (EndNote, RefMan)

TY  - JOUR
AB - The Navier-Stokes-Korteweg (NSK) equations are a classical diffuse-interfacemodel for compressible two-phase flows. As direct numericalsimulations basedon the NSK system are quite expensive and in some cases even impossible, weconsider a relaxation of the NSK system, for which robust numerical methodscan be designed. However, time steps for explicit numericalschemes depend onthe relaxation parameter and therefore numerical simulations in the relaxationlimit are very inefficient. To overcome this restriction, we propose an implicit-explicit asymptotic-preserving finite volume method. We prove that the newscheme provides a consistent discretization of the NSK system in the relaxationlimit and demonstrate that it is capable of accurately and efficiently computingnumerical solutions of problems with realistic density ratios and small interfacialwidths.
AU - Chertock,A
AU - Degond,PAA
AU - Neusser,J
DO - 10.1016/j.jcp.2017.01.030
EP - 4003
PY - 2017///
SN - 0021-9991
SP - 387
TI - An asymptotic-preserving method for a relaxation of the NavierStokes-Korteweg equations
T2 - Journal of Computational Physics
UR - http://dx.doi.org/10.1016/j.jcp.2017.01.030
UR - http://hdl.handle.net/10044/1/44103
VL - 335
ER -