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. 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. Detailed hints for the implementation of the various algorithms enable readers 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. Moreover, after reading this book, readers should be able to understand more enhanced algorithms of computational fluid dynamics and to apply their new knowledge of modeling, discretization, parallelization, and visualization to other scientific fields, where numerical simulation has established itself, in addition to theoretical investigations and practical experiments, as a new path for uncovering the laws of nature. Among these fields are the examination of elastic solids, combustion, melting and coating processes, and crystal growth, as well as weather prediction.
Notation Chapter 1: Numerical Simulation-a Key Technology of the Future. Physical Experiments, Mathematical Modeling, and Numerical Simulation Fluids and Flows Numerical Flow Simulation Chapter 2: The Mathematical Description of Flows. The Mathematical Model: The Navier-Stokes Equations The Derivation of the Navier-Stokes Equations Dynamic Similarity of Flows Chapter 3: The Numerical Treatment of the Navier-Stokes Equations. The Discretization The Algorithm Implementation Treatment of General Geometries Chapter 4: Visualization Techniques. Standard Techniques Flow Visualization by Particle Tracing and Streaklines Stream Function and Vorticity Chapter 5: Example Applications. Lid-Driven Cavity Flow over a Backward-Facing Step Flow Past an Obstacle Pipe Junction Flow through Complex Geometries Fluid-Structure Interaction Chapter 6: Free Boundary Value Problems. Determination of the Domain Shape Conditions along the Free Boundary The Extended Algorithm Implementation Chapter 7: Example Applications for Free Boundary Value Problems. The Breaking Dam The Splash of a Liquid Drop Free-Surface Flow over a Step Injection Molding Curtain Coating Chapter 8: Parallelization. Parallel Computers and Programming Environments Domain Decomposition as a Parallelization Strategy Parallelization of the Flow Code Implementation on a Network of Workstations Using PVM Measuring Performance Chapter 9: Energy Transport. Extending the Mathematical Model by the Energy Equation Derivation of the Energy Equation On the Validity of the Boussinesq Approximation Discretization of the Energy Equation and Extension of the Algorithm Implementation Visualization of Heat Flow Example Applications Chemical Transport Chapter 10: Turbulence. Turbulent Flows Turbulence Modeling Discretization of the k-e Model Implementation Numerical Results Chapter 11: Extension to Three Dimensions. The Continuous Equations Discretization and Algorithm Extensions and Modifications Examples of 3D Simulations Chapter 12: Concluding Remarks. Appendix A: Guidelines for Parallelization Using PVM Appendix B: Physical Properties of Fluids Bibliography Index
'This book provides the basic techniques for solving many problems in incompressible fluid dynamics by numerical computations. It is mainly addressed to beginners in the subject, who seek a guide to solve such problems. However, it contains a wide class of subjects related to numerical computation in fluid dynamics that may help a specialist to better understand some specific subject not directly related with his domain of expertise.' Tomas Chacon Rebollo, Mathematical Reviews ' ... Keeping its limited scope in mind, Numerical Simulation in Fluid Dynamics provides a very readable introduction to the numerical solution of the incompressible Navier-Stokes equations which will be of interest to students and practising engineers concerned with incompressible flow problems.' Applied Mechanics Review '... Detailed hints for the implementation of various algorithms allow readers to write their own flow simulation program from scratch ...' SciTech Book News 'Mastery of numerical simulation will soon become indispensable in research and development as expensive experiments are replaced by computer simulations. This book, translated from German, provides a cross-disciplinary and application-oriented approach to training mathematicians, engineers and natural and computer scientists. ... Using a simple numerical method as an example, the individual steps of scientific computing are presented ...' Book News
