Overview
- Focuses on the mathematical interplay between Eulerian and Lagrangian formulations and its significance for numerical methods
- Explains the structure of modern corner-based Lagrangian solvers
- Details the linear-quadratic structure of Lagrangian fluxes originating from continuum mechanics
Part of the book series: Frontiers in Mathematics (FM)
Access this book
Tax calculation will be finalised at checkout
Other ways to access
Table of contents (5 chapters)
-
Front Matter
-
Back Matter
Keywords
About this book
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.
Reviews
Authors and Affiliations
Bibliographic Information
Book Title: Numerical Methods for Eulerian and Lagrangian Conservation Laws
Authors: Bruno Després
Series Title: Frontiers in Mathematics
DOI: https://doi.org/10.1007/978-3-319-50355-4
Publisher: Birkhäuser Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing AG 2017
Softcover ISBN: 978-3-319-50354-7Published: 20 July 2017
eBook ISBN: 978-3-319-50355-4Published: 09 July 2017
Series ISSN: 1660-8046
Series E-ISSN: 1660-8054
Edition Number: 1
Number of Pages: XVII, 349
Number of Illustrations: 100 b/w illustrations, 3 illustrations in colour
Topics: Computational Mathematics and Numerical Analysis, Partial Differential Equations