Numerical methods for Eulerian and Lagrangian conservation laws / by Bruno Després.

Format:

Book

Author/Creator:

Després, Bruno, Author.

Series:

Frontiers in Mathematics, 1660-8046

Language:

English

Subjects (All):

Computer science--Mathematics.

Computer science.

Differential equations, Partial.

Computational Mathematics and Numerical Analysis.

Partial Differential Equations.

Local Subjects:

Computational Mathematics and Numerical Analysis.

Partial Differential Equations.

Physical Description:

1 online resource (349 pages) : illustrations, tables.

Edition:

1st ed. 2017.

Place of Publication:

Cham : Springer International Publishing : Imprint: Birkhäuser, 2017.

Summary:

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.

Contents:

Models

Conservation laws

Systems and Lagrangian systems

Numerical discretization

Starting from the mesh.

Notes:

Includes bibliographical references and index.

ISBN:

3-319-50355-3