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Titlebook: Numerical Analysis of Compressible Fluid Flows; Eduard Feireisl,Mária Luká?ová-Medvi?ová,Bangwei S Book 2021 The Editor(s) (if applicable)

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書(shū)目名稱(chēng)Numerical Analysis of Compressible Fluid Flows
編輯Eduard Feireisl,Mária Luká?ová-Medvi?ová,Bangwei S
視頻videohttp://file.papertrans.cn/669/668941/668941.mp4
概述This is the first monograph on the numerical analysis of oscillatory solutions to problems in fluid mechanics. It contains completely new ideas never published before.An effective way of computation o
叢書(shū)名稱(chēng)MS&A
圖書(shū)封面Titlebook: Numerical Analysis of Compressible Fluid Flows;  Eduard Feireisl,Mária Luká?ová-Medvi?ová,Bangwei S Book 2021 The Editor(s) (if applicable)
描述.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..
出版日期Book 2021
關(guān)鍵詞compressible fluid flow; numerical analysis; measure-valued solutions; K-convergence; fluid mechanics
版次1
doihttps://doi.org/10.1007/978-3-030-73788-7
isbn_softcover978-3-030-73790-0
isbn_ebook978-3-030-73788-7Series ISSN 2037-5255 Series E-ISSN 2037-5263
issn_series 2037-5255
copyrightThe Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
The information of publication is updating

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Inviscid Fluids: Euler SystemThe Euler system describing the motion of inviscid perfect fluid is presented. We discuss its local-in-time well-posedness in the framework of smooth solutions, development of singularities, and global ill-posedness for smooth initial data in the class of admissible weak solutions.
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Numerical MethodsWe introduce a finite volume method for the approximation of equations governing the motion of both inviscid and viscous compressible fluids. In particular, we define stable and consistent numerical approximation of the Euler and the Navier–Stokes equations.
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Finite Volume Method for?the?Barotropic Euler System – RevisitedInspired by the Brenner-type regularization we propose a finite volume method for the barotropic Euler system and show that it is unconditionally convergent. In particular, the density remains strictly positive at any level of approximation without imposing any extra condition of CFL type.
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Numerical Analysis of Compressible Fluid Flows978-3-030-73788-7Series ISSN 2037-5255 Series E-ISSN 2037-5263
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