MSC:
35L65,
35L67,
65M20,
76N10,
76N15,
76R10 | MR 1894668 | Zbl 1090.65532 | DOI: 10.1023/A:1021789203207

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numerical software; computational fluid dynamics; compressible Euler equations; method of lines; approximate Riemann solver; numerical flux; 1D; quasi-1D; 2D; axisymmetric 3D; 3D; finite volume method; unstructured grid; implicit adaptive time integration

References:

[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

[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

[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)

[4] P. Šolín, K. Segeth: **Application of the method of lines to the nonstationary compressible Euler equations**. Internat. J. Numer. Methods Fluids, Submitted.

[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.

[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.