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Title: Description of the multi-dimensional finite volume solver EULER (English)
Author: Šolín, Pavel
Author: Segeth, Karel
Language: English
Journal: Applications of Mathematics
ISSN: 0862-7940 (print)
ISSN: 1572-9109 (online)
Volume: 47
Issue: 2
Year: 2002
Pages: 169-185
Summary lang: English
Category: math
Summary: This paper is aimed at the description of the multi-dimensional finite volume solver EULER, which has been developed for the numerical solution of the compressible Euler equations during several last years. The present overview of numerical schemes and the explanation of numerical techniques and tricks which have been used for EULER could be of certain interest not only for registered users but also for numerical mathematicians who have decided to implement a finite volume solver themselves. This solver has been used also for the computation of numerical examples presented in [3]. (English)
Keyword: numerical software
Keyword: computational fluid dynamics
Keyword: compressible Euler equations
Keyword: method of lines
Keyword: approximate Riemann solver
Keyword: numerical flux
Keyword: 1D
Keyword: quasi-1D
Keyword: 2D
Keyword: axisymmetric 3D
Keyword: 3D
Keyword: finite volume method
Keyword: unstructured grid
Keyword: implicit adaptive time integration
MSC: 35L65
MSC: 35L67
MSC: 65M20
MSC: 76N10
MSC: 76N15
MSC: 76R10
idZBL: Zbl 1090.65532
idMR: MR1894668
DOI: 10.1023/A:1021789203207
Date available: 2009-09-22T18:09:36Z
Last updated: 2020-07-02
Stable URL:
Reference: [1] A. C. Hindmarsh: ODEPACK, A systematized collection of ODE solvers.In: Scientific Computing (IMACS Transactions on Scientific Computation Volume 1), North-Holland, Amsterdam, 1983, pp. 55-64. MR 0751604
Reference: [2] L. R. Petzold: A description of DDASSL: A differential/algebraic system solver.Sandia Report No. Sand 82-8637, Sandia National Laboratory, Livermore, CA, 1982. MR 0751605
Reference: [3] K. Segeth, P. Šolín: Application of the method of lines to compressible flow (Computational aspects).Proceedings of the 10th PANM Seminar, Lázně Libverda, 2000, Mathematical Institute of the Academy of Sciences of the Czech Republic, Praha, 2000. (Czech)
Reference: [4] P. Šolín, K. Segeth: Application of the method of lines to the nonstationary compressible Euler equations.Internat. J. Numer. Methods Fluids, Submitted.
Reference: [5] P.  Šolín: On the method of lines (Application in fluid dynamics and a-posteriori error estimation).Doctoral dissertation, Faculty of Mathematics and Physics, Charles University, Prague, 1999.
Reference: [6] P. Šolín: Three-dimensonal Euler equations and their numerical solution by the finite volume method.Master thesis (Part  1), Faculty of Mathematics and Physics, Charles University, Prague, 1996.


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