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Mathematical theory of compressible flow. Equations describing the flow. The Euler equations. Properties of the
Euler equations. Cauchy problem. Weak solutions. Finite volume method. Finite volume mesh. Derivation of a
general finite volume scheme. Properties of the numerical flux. Construction of some numerical fluxes. The
Godunov method.
Last update: T_KNM (14.04.2015)
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Written and oral exam Last update: Felcman Jiří, doc. RNDr., CSc. (07.06.2019)
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Feistauer M.: Mathematical Methods in Fluid Dynamics. Longman Scientific-Technical, Harlow, l993
Feistauer M., Felcman J., Straškraba I.: Mathematical and Computational Methods for Compressible Flow. Clarendon Press, Harlow, 2003.
Felcman J.: Numerické metody v mechanice tekutin 2, aktualizovaný internetový učební text
Godlewski E., Raviart P. A.: Numerical Approximation of Hyperbolic Systems of Conservation Laws, Number 118 in Applied Mathematical Sciences, Springer, New York 1996
Smoller J.: Shock Waves and Reaction-Diffusion Equations, Springer, New York, 1983 Last update: Kučera Václav, doc. RNDr., Ph.D. (29.10.2019)
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The exam is written and oral. The examination requirements are given by the topics in the syllabus, in the extent to which they were taught in course. Last update: Felcman Jiří, doc. RNDr., CSc. (07.06.2019)
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Mathematical theory of compressible flow. Equations describing the flow. The Euler equations. Properties of the Euler equations. Cauchy problem. Weak solutions. Finite volume method. Finite volume mesh. Derivation of a general finite volume scheme. Properties of the numerical flux. Construction of some numerical fluxes. The Godunov method. Last update: T_KNM (14.04.2015)
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Basic knowledge of the theory of partial differential equations Last update: Felcman Jiří, doc. RNDr., CSc. (31.05.2018)
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