Numerical Methods for Eulerian and Lagrangian Conservation Laws
โ Scribed by Bruno Desprรฉs
- Publisher
- Birkhรคuser
- Year
- 2017
- Tongue
- English
- Leaves
- 360
- Series
- Frontiers in Mathematics
- Edition
- 1st ed.
- Category
- Library
No coin nor oath required. For personal study only.
โฆ 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.
โฆ Table of Contents
Front Matter....Pages i-xvii
Models....Pages 1-40
Scalar conservation laws....Pages 41-91
Systems and Lagrangian systems....Pages 93-163
Numerical discretization....Pages 165-261
Starting from the mesh....Pages 263-329
Back Matter....Pages 331-349
โฆ Subjects
HY
๐ SIMILAR VOLUMES
This is a very good book, and covers all the main issues. It is clear and rigorous. Some topics are covered in brief and additional references may be needed to fully understand the topic.
These notes were developed for a graduate-level course on the theory and numerical solution of nonlinear hyperbolic systems of conservation laws. Part I deals with the basic mathematical theory of the equations: the notion of weak solutions, entropy conditions, and a detailed description of the wave
<p>These notes developed from a course on the numerical solution of conservation laws first taught at the University of Washington in the fall of 1988 and then at ETH during the following spring. The overall emphasis is on studying the mathematical tools that are essential in deยญ veloping, analyzing