Provides insight into the numerical simulation of fluid flow. Using a simple numerical method as expository example, individual steps of scientific computing are presented, covering derivation of the mathematical model, discretization of model equations, development of algorithms, parallelization, and visualization of computed data. Treats Navier-Stokes equations for modeling transient flows of viscous incompressible flows, and looks at simulation of free surface flows, energy and chemical transport, and turbulence. Detailed hints for the implementation of various algorithms allow readers to write their own flow simulation program from scratch. Includes b&w and color illustrations. For advanced undergraduates and professionals in mathematics, engineering, and computer science. Annotation c. by Book News, Inc., Portland, Or.
In this translation of the German edition, an insight is provided into the numerical simulation of fluid flow.
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.
