Numerical Methods for Eulerian and Lagrangian Conservation Laws (Frontiers in Mathematics) - Softcover

Després, Bruno

Softcover

ISBN 10: 3319503545 ISBN 13: 9783319503547

Publisher: Birkhäuser, 2017

Synopsis

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.

About this title

Review

“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)

Edition details

• Publisher: Birkhäuser
• Publication date: 2017
• ISBN 10: 3319503545
• ISBN 13: 9783319503547
• Binding: Paperback
• Language: English
• Edition number: 1
• Number of pages: 366