Hyperbolic Partial Differential Equations: Theory, Numerics and Applications

by Andreas Meister (Editor), Jens Struckmeier (Editor)

Overview

The book gives an introduction to the fundamental properties of hyperbolic partial differential equations und their appearance in the mathematical modelling of various problems from practice. It shows in an unique manner concepts for the numerical treatment of such equations starting from basic algorithms up actual research topics in this area. The numerical methods discussed are central and upwind schemes for structured and unstructured grids based on ENO and WENO reconstructions, pressure correction schemes like SIMPLE and PISO as well as asymptotic-induced algorithms for low-Mach number flows.

Product Details

ISBN-13:	9783322802293
Publisher:	Vieweg+Teubner Verlag
Publication date:	12/30/2011
Edition description:	Softcover reprint of the original 1st ed. 2002
Pages:	320
Product dimensions:	6.69(w) x 9.45(h) x 0.03(d)

About the Author

Herausgeber: Prof. Dr. Andreas Meister, FB Mathematik und Informatik, Universität Kassel und Prof. Dr. Jens Struckmeier, Institut für Angewandte Mathematik, Universität Hamburg.

Table of Contents

Hyperbolic Conservation Laws and Industrial Applications - Central Schemes and Systems of Balance Laws - Methods on Unstructured Grids, WENO and ENO Recovery techniques - Pressure-Correction Methods for all Flow Speeds - Computational Fluid Dynamics and Aeroacoustics for Low Mach Number Flow