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Numerical Analysis of Compressible Fluid Flows
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Numerical Analysis of Compressible Fluid Flows

2021 ed.

Book Details

Format Paperback / Softback
Book Series MS&A
ISBN-10 303073790X
ISBN-13 9783030737900
Edition 2021 ed.
Publisher Springer Nature Switzerland AG
Imprint Springer Nature Switzerland AG
Country of Manufacture GB
Country of Publication GB
Publication Date Dec 19th, 2022
Print length 482 Pages
Weight 824 grams
Dimensions 23.30 x 15.50 x 3.20 cms
Product Classification: Numerical analysis
Ksh 25,200.00
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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).

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.



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