High-Resolution Methods for Incompressible and Low-Speed Flows: (Computational Fluid and Solid Mechanics)

This book covers the basic techniques for simulating incompressible and low-speed flows with high fidelity in conjunction with high-resolution methods. This includes techniques for steady and unsteady flows with high-order time integration and multigrid methods, as well as specific issues associated with interfacial and turbulent flows. The book is addressed to a broad readership, including engineers and scientists concerned with the development or application of computational methods for fluid flow problems in: Mechanical, Aerospace, Civil and Chemical Engineering, Biological Flows, Atmospheric and Oceanographic Applications as well as other Environmental disciplines. It can be used for teaching postgraduate courses on Computational Fluid Dynamics and Numerical Methods in Engineering and Applied Mathematics, and can also be used as a complementary textbook in undergraduate CFD courses.

Table of Contents:
Fundamental Physical and Model Equations.- The Fluid Flow Equations.- The Viscous Fluid Flow Equations.- Curvilinear Coordinates and Transformed Equations.- Overview of Various Formulations and Model Equations.- Basic Principles in Numerical Analysis.- Time Integration Methods.- Numerical Linear Algebra.- Solution Approaches.- Compressible and Preconditioned-Compressible Solvers.- The Artificial Compressibility Method.- Projection Methods: The Basic Theory and the Exact Projection Method.- Approximate Projection Methods.- Modern High-Resolution Methods.- to Modern High-Resolution Methods.- High-Resolution Godunov-Type Methods for Projection Methods.- Centered High-Resolution Methods.- Riemann Solvers and TVD Methods in Strict Conservation Form.- Beyond Second-Order Methods.- Applications.- Variable Density Flows and Volume Tracking Methods.- High-Resolution Methods and Turbulent Flow Computation.

Review :
From the reviews: "This book presents a wide variety of numerical methods for fluid dynamics. ! The material is well organized and quite thorough. The authors should be commended for including material on the actual implementation of methods that other texts do not give. ! This book should be a useful reference for computational scientists and engineers engaged in the numerical simulation of fluid flows." (John C. Strikwerda, Mathematical Reviews, 2005k) "The authors present the current state-of-the-art of numerical techniques for computing low-Mach number fluid flows. ! Many subjects are described in full detail, and the reader can find all the necessary information to write a code. ! more than 600 given references provide comprehensive information on the state-of-the art that an interested reader may consult. ! In conclusion, this book represents a highly valuable tool for researchers involved in the numerical simulation of incompressible flows." (Renzo Arina and Maurizio Pandolfi, Meccanica, Vol. 42, 2007)