Efficient Solvers for Incompressible Flow Problems

1. Front Matter

   Pages I-XV

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2. Motivation for current research

   • Stefan Turek

   Pages 1-26

3. Derivation of Navier-Stokes solvers

   • Stefan Turek

   Pages 27-96

4. Other mathematical components

   • Stefan Turek

   Pages 97-280

5. Numerical comparisons of Navier-Stokes solvers

   • Stefan Turek

   Pages 281-333

6. Conclusions and outlook

   • Stefan Turek

   Pages 335-339

7. The enclosed CDROM

   • Stefan Turek

   Pages 341-342

8. Back Matter

   Pages 343-358

   PDF

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.

• Navier-Stokes equation
• computational fluid dynamics
• fluid dynamics
• proving
• simulation

• Institut für Angewandte Mathematik, Universität Heidelberg, Heidelberg, Germany

  Stefan Turek

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