Numerical Simulation in Fluid Dynamics: A Practical Introduction (Monographs on Mathematical Modeling and Computation, Series Number 3)

✍ Scribed by Michael Griebel, Thomas Dornsheifer, Tilman Neunhoeffer

• Publisher: SIAM: Society for Industrial and Applied Mathematics
• Year: 1997
• Tongue: English
• Leaves: 234
• Category: Library

✦ Synopsis

In this translation of the German edition, the authors provide insight into the numerical simulation of fluid flow. Using a simple numerical method as an expository example, the individual steps of scientific computing are presented: the derivation of the mathematical model; the discretization of the model equations; the development of algorithms; parallelization; and visualization of the computed data. In addition to the treatment of the basic equations for modeling laminar, transient flow of viscous, incompressible fluids - the Navier-Stokes equations - the authors look at the simulation of free surface flows; energy and chemical transport; and turbulence. Readers are enabled to write their own flow simulation program from scratch. The variety of applications is shown in several simulation results, including 92 black-and-white and 18 color illustrations. After reading this book, readers should be able to understand more enhanced algorithms of computational fluid dynamics and apply their new knowledge to other scientific fields.

✦ Table of Contents

ISBN 0898713986
Numerical Simulation in Fluid Dynamics, A Practical Introduction
Contents
Preface
Notation
Chapter 1 Numerical Simulation—a Key Technology of the Future
Chapter 2 The Mathematical Description of Flows
Chapter 3 The Numerical Treatment of the Navier—Stokes Equations
Chapter 4 Visualization Techniques
Chapter 5 Example Applications
Chapter 6 Free Boundary Value Problems
Chapter 7 Example Applications for Free Boundary Value Problems
Chapter 8 Parallelization
Chapter 9 Energy Transport
Chapter 10 Turbulence
Chapter 11 Extension to Three Dimensions
Chapter 12 Concluding Remarks
Appendix A Guidelines for Parallelization Using PVM
Appendix B Physical Properties of Fluids
Bibliography
Index