Buchcover - High-Resolution Methods for Incompressible and Low-Speed Flows - ISBN 978-3-540-26454-5
Leseprobe - High-Resolution Methods for Incompressible and Low-Speed Flows - ISBN 978-3-540-26454-5
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)
High-Resolution Methods for Incompressible and Low-Speed Flows
The study of incompressible ? ows is vital to many areas of science and te- nology. This includes most of the ? uid dynamics that one ? nds in everyday life from the ? ow of air in a room to most weather phenomena. Inundertakingthesimulationofincompressible? uid? ows, oneoftentakes many issues for granted. As these ? ows become more realistic, the problems encountered become more vexing from a computational point-of-view. These range from the benign to the profound. At once, one must contend with the basic character of incompressible ? ows where sound waves have been analytically removed from the ? ow. As a consequence vortical ? ows have been analytically “preconditioned,” but the ? ow has a certain non-physical character (sound waves of in? nite velocity). At low speeds the ? ow will be deterministic and ordered, i. e., laminar. Laminar ? ows are governed by a balance between the inertial and viscous forces in the ? ow that provides the stability. Flows are often characterized by a dimensionless number known as the Reynolds number, which is the ratio of inertial to viscous forces in a ? ow. Laminar ? ows correspond to smaller Reynolds numbers. Even though laminar ? ows are organized in an orderly manner, the ? ows may exhibit instabilities and bifurcation phenomena which may eventually lead to transition and turbulence. Numerical modelling of suchphenomenarequireshighaccuracyandmostimportantlytogaingreater insight into the relationship of the numerical methods with the ? ow physics.
