Principles of Computational Fluid Dynamics

Author: (Dutch) Weslin
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Features: 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. Using fundamental mathematical analysis, it elaborates in detail on the basic principles of numerical computation. It then discusses the geometric complexities arising from the mesh adaptation to subdomains and non-conforming structured boundaries. The book investigates the consistent accuracy and efficiency of singular perturbation problems, pointing out methods for accurate computation of flow in high Reynolds number regimes. It particularly focuses on stability analysis, providing valuable stability conditions for many practical algorithms, some of which are new. It describes a unified method for computing both compressible and incompressible flows, presents a numerical analysis of the narrow channel equations, and discusses hyperbolic conservation laws. It examines the Godunov first-order barrier and how to overcome it using finite slope schemes. The book briefly introduces effective iterative methods for solving problems using the Cea sub-space theory and multigrid acceleration. The book also includes many new references to help readers quickly understand the current research frontiers.