|
|
|
Series on Advances in Mathematics for Applied Sciences - Vol. 21
HIGH ACCURACY NON-CENTERED COMPACT DIFFERENCE SCHEMES FOR FLUID DYNAMICS APPLICATIONS
by A I Tolstykh (Russian Acad. Sci.)
This is the first book which describes completely the nontraditional difference schemes which combine the ideas of Padé-type approximation and upwind differencing. These possess some favorable properties and can be used to solve various problems in fluid dynamics and related disciplines. They were proposed by the author in the seventies and are extensively used in Russia. However, they seem to be relatively unknown outside the country. In this book, the author presents the theory of the schemes, to provide some sophisticated algorithms for different computational fluid dynamics problems, to supply readers with useful information which would permit them to construct a rich variety of algorithms of this type and to illustrate the applications of these methods to the numerical simulation of various fluid dynamics phenomena, ranging from supersonic viscous flows to some atmosphere and ocean processes. This book is an essential guide for anyone keenly interested in this field.
Contents:
- Introduction
- Third-Order Schemes with Compact Upwind
Differencing
- Some Extensions of Basic Ideas
- Fifth-Order Non-Centered Compact Schemes
- Hyperbolic Systems
- Compact Upwind Schemes for Convection-Diffusion Equations
- Multidimensional Problems
- Compressible Gas Flows Described by Navier-Stokes Equations
- Applications to Incompressible Flow Problems
- A Solution-Dependent Coordinates for Grid Generation
- Some Relevant Mathematical Topics
- Bibliography
- Index
Readership: Applied mathematicians.
| 332pp |
Pub. date: Sept 1994 |
|
|
