Efficient Solvers for Incompressible Flow Problems

An Algorithmic and Computational Approach

Stefan Turek (Autor)

Buch | Softcover

XV, 358 Seiten

2013
Springer Berlin (Verlag)
9783642635731 (ISBN)

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The scope ofthis book is to discuss recent numerical and algorithmic tools for the solution of certain flow problems arising in Computational Fluid Dynam ics (CFD). Here, we mainly restrict ourselves to the case ofthe incompressible Navier-Stokes equations, Ut - v~u + U . V'u+ V'p = f , V'·u = o. (1) These basic equations already play an important role in CFD, both for math ematicians as well as for more practical scientists: Physically important facts with "real life" character can be described by them, including also economical aspects in industrial applications. On the other hand, the equations in (1) provide the complete spectrum of numerical problems nowadays concerning the mathematical treatment of partial differential equations. Although this field of research may appear to be a small part only inside of CFD, it was and still is of great interest for mathematicians as well as engineers, physicists, computer scientists and many more: a fact which can be easily checked by counting the numerous publications. Nevertheless, our contribution has some unique characteristics since it contains a few ofthe lat est results for the numerical solution of (complex) flow problems on modern computer platforms. In this book, our particular emphasis lies on the solu tion process ofthe resulting high dimensional discrete systems ofequations which is often neglected in other works. Together with the included CDROM, which contains the 'FEATFLOW 1.

1 Motivation for current research.- 2 Derivation of Navier-Stokes solvers.- 3 Other mathematical components.- 4 Numerical comparisons of Navier-Stokes solvers.- 5 Conclusions and outlook.- 6 The enclosed CDROM.

Erscheint lt. Verlag	3.10.2013
Reihe/Serie	Lecture Notes in Computational Science and Engineering
Zusatzinfo	XV, 358 p.
Verlagsort	Berlin
Sprache	englisch
Maße	155 x 235 mm
Gewicht	574 g
Themenwelt	Informatik ► Theorie / Studium ► Künstliche Intelligenz / Robotik
	Mathematik / Informatik ► Mathematik ► Analysis
	Mathematik / Informatik ► Mathematik ► Wahrscheinlichkeit / Kombinatorik
	Naturwissenschaften ► Physik / Astronomie
Schlagworte	computational fluid dynamics • Fluid Dynamics • Navier-Stokes Equation • proving • Simulation
ISBN-13	9783642635731 / 9783642635731
Zustand	Neuware