Numerical Methods for Eulerian and Lagrangian Conservation Laws

Description

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. 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