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Incompressible Flow and the Finite Element Method, 2 Volume Set
R. L. Sani, P. M. Gresho
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Naturwissenschaften, Medizin, Informatik, Technik / Maschinenbau, Fertigungstechnik
Beschreibung
This comprehensive two volume reference work is devoted to theimportant details regarding the application of the finite elementmethod to incompressible flows, addressing the theoreticalbackground and the detailed development of appropriate numericalmethods applied to their solution. Volume One provides extensivecoverage of the prototypical fluid mechanics equation: theadvection-diffusion equation. In addition, for both this equationand the equations of principal interest - the Navier-Stokesequations - (covered in detail in Volume Two), a discussion of boththe continuous and discrete equations is presented. Also addressedare explanations of how to properly march the time-dependentequations using smart implicit methods. Boundary and initialconditions, so important in applications, are thoroughly describedand discussed, including well-posedness. The important role playedby the pressure, so confusing in the past, is carefully explained.Together, this two volume work explains and emphasizes consistencyin six areas: * consistent mass matrix * consistent pressure Poisson equation * consistent penalty methods * consistent normal direction * consistent heat flux * consistent forces Fully indexed and referenced, these two volumes form an essentialreference tool for all research students and applied scientists inincompressible fluid mechanics.
Rezensionen
"The book covers the subject in a complete and excellent way, and is most recommended to everybody in this research area. Moreover, the book is written in an interesting, well-organized and very readable way, and approaches the various subjects both by "looking from above" and by going into the details. Sometimes, it also touches on some slightly controversial subjects, which adds flaour to the book."
Kundenbewertungen
Mechanical Engineering, Maschinenbau, Inkompressible Strömung, Finite-Elemente-Methode, Strömungsmechanik, Fluid Mechanics