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Numerical Analysis of Compressible Fluid Flows
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SYSNO ASEP 0550986 Document Type B - Monograph R&D Document Type Monograph Title Numerical Analysis of Compressible Fluid Flows Author(s) Feireisl, Eduard (MU-W) RID, SAI, ORCID
Lukáčová-Medviďová, M. (DE)
Mizerová, Hana (MU-W) SAI, RID
She, Bangwei (MU-W) SAI, RID, ORCIDIssue data Cham: Springer, 2021 ISBN 978-3-030-73787-0 ISSN 2037-5255 Series MS&A - Modeling, Simulation and Applications Series number 20 Number of pages 483 s. Number of copy 500 Publication form Print - P Language eng - English Country CH - Switzerland Issue 1. Keywords numerical analysis ; compressible fluid flow Subject RIV BA - General Mathematics OECD category Pure mathematics R&D Projects GA18-05974S GA ČR - Czech Science Foundation (CSF) Institutional support MU-W - RVO:67985840 DOI 10.1007/978-3-030-73788-7 Annotation This book is devoted to the numerical analysis of compressible fluids in the spirit of the celebrated Lax equivalence theorem. The text is aimed at graduate students in mathematics and fluid dynamics, researchers in applied mathematics, numerical analysis and scientific computing, and engineers and physicists. The book contains original theoretical material based on a new approach to generalized solutions (dissipative or measure-valued solutions). The concept of a weak-strong uniqueness principle in the class of generalized solutions is used to prove the convergence of various numerical methods. The problem of oscillatory solutions is solved by an original adaptation of the method of K-convergence. An effective method of computing the Young measures is presented. Theoretical results are illustrated by a series of numerical experiments. Applications of these concepts are to be expected in other problems of fluid mechanics and related fields. Workplace Mathematical Institute Contact Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Year of Publishing 2022
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