Residual based error estimates for the space-time discontinuous Galerkin method applied to the compressible flows
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F15%3A10301815" target="_blank" >RIV/00216208:11320/15:10301815 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1016/j.compfluid.2015.05.027" target="_blank" >http://dx.doi.org/10.1016/j.compfluid.2015.05.027</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.compfluid.2015.05.027" target="_blank" >10.1016/j.compfluid.2015.05.027</a>
Alternative languages
Result language
angličtina
Original language name
Residual based error estimates for the space-time discontinuous Galerkin method applied to the compressible flows
Original language description
We develop an adaptive numerical method for solution of the non-stationary compressible Navier-Stokes equations. This method is based on the space-time discontinuous Galerkin discretization, which employs high polynomial approximation degrees with respect to the space as well as to the time coordinates. We focus on the identification of the computational errors, following from the space and time discretizations and from the inexact solution of the arising nonlinear algebraic systems. We derive the residual-based error estimates approximating these errors. Then we propose an efficient algorithm which brings the algebraic, spatial and temporal errors under control. The computational performance of the proposed method is demonstrated by numerical experiments.
Czech name
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Czech description
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Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
<a href="/en/project/GA13-00522S" target="_blank" >GA13-00522S: Qualitative analysis and numerical solution of problems of flows in generally time-dependent domains with various boundary conditions</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2015
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Computers and Fluids
ISSN
0045-7930
e-ISSN
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Volume of the periodical
117
Issue of the periodical within the volume
August
Country of publishing house
GB - UNITED KINGDOM
Number of pages
21
Pages from-to
304-324
UT code for WoS article
000358269500024
EID of the result in the Scopus database
2-s2.0-84935906070