Computational Fluid Dynamics Principles ()

Author: Weislin
Publisher:
Publish Date: 2006-01-01
Features: The author is highly authoritative internationally, and the book covers a broad scope of disciplines. It is suitable for graduate students and researchers. The book first introduces the current state of numerical methods in computational fluid dynamics; it elaborates on the fundamental principles of numerical computation using basic mathematical analysis; then discusses the geometric complexities brought by the non-uniform structured boundary-adaptive grids in the domain; studies the consistency and efficiency of singular perturbation problems, pointing out methods for accurately computing flows in high Reynolds number cases; it particularly discusses stability analysis, providing valuable stability conditions for many practical algorithms, some of which are new; it describes a unified method for computing compressible and incompressible flows; it presents numerical methods for narrow channel equations; it discusses hyperbolic conservation laws and discusses the Godunov order barrier and how to overcome it using finite slope formats. It briefly introduces effective iterative methods for solving using Kreiss subspace theory and multigrid acceleration. Principles of Computational Fluid Mechanics is written for graduate students, researchers, engineers, and physicists engaged in fluid computation. The book first introduces the current state of numerical methods in computational fluid dynamics; it elaborates on the fundamental principles of numerical computation using basic mathematical analysis; then discusses the geometric complexities brought by the non-uniform structured boundary-adaptive grids in the domain; studies the consistency and efficiency of singular perturbation problems, pointing out methods for accurately computing flows in high Reynolds number cases; it particularly discusses stability analysis, providing valuable stability conditions for many practical algorithms, some of which are new; it describes a unified method for computing compressible and incompressible flows; it presents numerical analysis for narrow channel equations; it discusses hyperbolic conservation laws and discusses the Godunov order barrier and how to overcome it using finite slope formats. It briefly introduces effective iterative methods for solving using Kreiss subspace theory and multigrid acceleration. The book also includes many new references to help readers quickly understand the current research frontiers.