Ebook: Numerical Methods in Fluid Dynamics
Author: Maurice Holt (auth.)
- Tags: Physics general, Mathematics general
- Series: Springer Series in Computational Physics
- Year: 1977
- Publisher: Springer-Verlag Berlin Heidelberg
- Edition: 1
- Language: English
- pdf
This monograph is based on a graduate course, Mechanical Engipeering 266, which was developed over a number of years at the University of California-Berkeley. Shorter versions of the course were given at the University of Paris VI in 1969, and at the University of Paris XI in 1972. The course was originally presented as the last of a three quarter sequence on Compressible Flow Theory, with emphasis on the treatment of non-linear problems by numerical techniques. This is reflected in the material of the first half of the book, covering several techniques for handling non-linear wave interaction and other problems in Gas Dynamics. The techniques have their origins in the Method of Characteristics (in both two and three dimensions). Besides reviewing the method itself the more recent techniques derived from it, firstly by Godunov and his group, and secondly by Rusanov and his co-workers, are described. Both these approaches are applicable to steady flows calculated as asymptotic states of unsteady flows and treat elliptic prob lems as limiting forms of unsteady hyperbolic problems. They are there fore applicable to low speed as well a~ to high speed flow problems. The second half of the book covers the treatment of a variety of steady flow problems, including effects of both viscosity and compressibi lity, by the Method of Integral Relations, Telenin's Method, and the Method of Lines.
Content:
Front Matter....Pages I-VIII
General Introduction....Pages 1-27
The Godunov Schemes....Pages 28-56
The BVLR Method....Pages 57-79
The Method of Characteristics for Three-Dimensional Problems in Gas Dynamics....Pages 80-103
The Method of Integral Relations....Pages 104-177
Telenin’s Method and the Method of Lines....Pages 178-247
Back Matter....Pages 249-256
Content:
Front Matter....Pages I-VIII
General Introduction....Pages 1-27
The Godunov Schemes....Pages 28-56
The BVLR Method....Pages 57-79
The Method of Characteristics for Three-Dimensional Problems in Gas Dynamics....Pages 80-103
The Method of Integral Relations....Pages 104-177
Telenin’s Method and the Method of Lines....Pages 178-247
Back Matter....Pages 249-256
....