Numerical Methods for Eulerian and Lagrangian Conservation Laws

Bruno Després (Autor)

Buch | Softcover

XVII, 349 Seiten

2017 | 1st ed. 2017
Springer International Publishing (Verlag)
978-3-319-50354-7 (ISBN)

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lt;p>This book focuses on the interplay between Eulerian and Lagrangian conservation laws for systems that admit physical motivation and originate from continuum mechanics. Ultimately, it highlights what is specific to and beneficial in the Lagrangian approach and its numerical methods. The two first chapters present a selection of well-known features of conservation laws and prepare readers for the subsequent chapters, which are dedicated to the analysis and discretization of Lagrangian systems.

The text is at the frontier of applied mathematics and scientific computing and appeals to students and researchers interested in Lagrangian-based computational fluid dynamics. It also serves as an introduction to the recent corner-based Lagrangian finite volume techniques.

Models.- Conservation laws.- Systems and Lagrangian systems.- Numerical discretization.- Starting from the mesh.

"The book is very fluently written and easily digested. ... Numerous illustrations are given to demonstrate the efficiency of the numerical methods. ... I strongly recommend this book, not only to the mathematically inclined CFD practitioner, but also as illuminating supplementary material for students learning the numerical analysis and the foundations of hyperbolic conservation laws." (Tore Flåtten, Mathematical Reviews, August, 2018)

“The book is very fluently written and easily digested. … Numerous illustrations are given to demonstrate the efficiency of the numerical methods. … I strongly recommend this book, not only to the mathematically inclined CFD practitioner, but also as illuminating supplementary material for students learning the numerical analysis and the foundations of hyperbolic conservation laws.” (Tore Flåtten, Mathematical Reviews, August, 2018)

Erscheinungsdatum	29.07.2017
Reihe/Serie	Frontiers in Mathematics
Zusatzinfo	XVII, 349 p. 103 illus., 3 illus. in color.
Verlagsort	Cham
Sprache	englisch
Maße	168 x 240 mm
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
Themenwelt	Mathematik / Informatik ► Mathematik ► Wahrscheinlichkeit / Kombinatorik
Schlagworte	Computational Mathematics and Numerical Analysis • corner-based solvers • Differential calculus and equations • entropy property • Eulerian conservation • Lagrangian conservation • Lagrangian models • Mathematics • mathematics and statistics • Numerical analysis • numerical finite volume schemes • Numerical Methods • Partial differential equations
ISBN-10	3-319-50354-5 / 3319503545
ISBN-13	978-3-319-50354-7 / 9783319503547
Zustand	Neuware