High-Resolution Methods for Incompressible and Low-Speed Flows

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.

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)