Hyperbolic Partial Differential Equations: Theory, Numerics and Applications

✍ Scribed by Hochschuldozent Dr. Andreas Meister, Professor Dr. Jens Struckmeier (auth.)

• Publisher: Vieweg+Teubner Verlag
• Year: 2002
• Tongue: English
• Leaves: 328
• Edition: 1
• Category: Library

✦ Synopsis

The book gives an introduction to the fundamental properties of hyperbolic partial differential equations und their appearance in the mathematical modeling 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. The book is mainly written for students from mathematics, physics and engineering but also well suited for researchers from academic institutes and industry.

✦ Table of Contents

Front Matter....Pages i-xi
Hyperbolic Conservation Laws and Industrial Applications....Pages 1-57
Central Schemes and Systems of Balance Laws....Pages 59-114
Methods on unstructured grids, WENO and ENO Recovery techniques....Pages 115-232
Pressure-Correction Methods for all Flow Speeds....Pages 233-267
Computational Fluid Dynamics and Aeroacoustics for Low Mach Number Flow....Pages 269-320

✦ Subjects

Partial Differential Equations; Analysis