1. Ideal Fluids 2. Weak Solutions of Conservation Laws 3. Entropy Conditions 4. The Riemann Problem 5. Real Fluids 6. Existence Proof for Entropy Solutions by Means of Discretization Procedures 7. Types of Discretization Principles 8. A Closer Look into Discrete Models 9. Discrete Models on Curvilinear Grids 10. Finite Volume Models 11. Simple Meshless Models
Dr. Rainer Ansorge Em. Professor of Mathematics Technical University Hamburg-Harburg Hamburg, Germany Rainer Ansorge studied Mathematics and Physics at the Free University and Technical University (TU) of Berlin, Germany. After positions as computational engineer at the Volkswagen Company (1956) he became Full Professor of Mathematics at the University of Hamburg, Germany (1969). He was one of the founders of the TU Hamburg-Harburg (1974-1986) and his scientific research activities are covering more than 20 countries. Prof. Ansorge is member of the European Academy of Sciences and Arts, of the New York Academy of Sciences and the GAMM. Prof. Dr. Thomas Sonar University of Braunschweig Institute of Computational Physics Braunschweig, Germany Prof. Sonar is head of the group Partial Differential Equations at the Institute of Computational Mathematics of the University of Braunschweig. His main fields are: Numerics of the partial differential equations, numerical fluid mechanics and analysis of discrete data.
"The book is useful for students and experts, for mathematicians with interest on physical/technical problems, and for engineers in the field of fluid dynamics." B. Platzer ZAMM No. 9, 1 (2004)