Stability and consistency of a finite difference scheme for compressible viscous isentropic flow in multi-dimension
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F18%3A00495265" target="_blank" >RIV/67985840:_____/18:00495265 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1515/jnma-2017-0010" target="_blank" >http://dx.doi.org/10.1515/jnma-2017-0010</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1515/jnma-2017-0010" target="_blank" >10.1515/jnma-2017-0010</a>
Alternative languages
Result language
angličtina
Original language name
Stability and consistency of a finite difference scheme for compressible viscous isentropic flow in multi-dimension
Original language description
Motivated by the work of Karper [29], we propose a numerical scheme to compressible Navier-Stokes system in spatial multi-dimension based on finite differences. The backward Euler method is applied for the time discretization, while a staggered grid, with continuity and momentum equations on different grids, is used in space. The existence of a solution to the implicit nonlinear scheme, strictly positivity of the numerical density, stability and consistency of the method for the whole range of physically relevant adiabatic exponents are proved. The theoretical part is complemented by computational results that are performed in two spatial dimensions.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10101 - Pure mathematics
Result continuities
Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2018
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Journal of Numerical Mathematics
ISSN
1570-2820
e-ISSN
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Volume of the periodical
26
Issue of the periodical within the volume
3
Country of publishing house
DE - GERMANY
Number of pages
30
Pages from-to
111-140
UT code for WoS article
000448045700001
EID of the result in the Scopus database
2-s2.0-85041389507