Efficient Solvers For Incompressible Flow Problems
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Efficient Solvers for Incompressible Flow Problems
Author: Stefan Turek
language: en
Publisher: Springer Science & Business Media
Release Date: 1999
This book discusses recent numerical and algorithmic tools for the solution of certain flow problems arising in Computational Fluid Dynamics (CFD), which are governed by the incompressible Navier-Stokes equations. It contains several of the latest results for the numerical solution of (complex) flow problems on modern computer platforms. Particular emphasis is put on the solution process of the resulting high dimensional discrete systems of equations which is often neglected in other works. Together with the included CD ROM which contains the complete FEATFLOW 1.1 software and parts of the "Virtual Album of Fluid Motion," which is a "Movie Gallery" with lots of MPED videos, the interested reader is enabled to perform his own numerical simulations or he may find numerous suggestions for improving his own computational simulations.
Efficient Solvers for Incompressible Flow Problems
Author: Stefan Turek
language: en
Publisher: Springer Science & Business Media
Release Date: 2012-12-06
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.
Numerical Methods for Two-phase Incompressible Flows
Author: Sven Gross
language: en
Publisher: Springer Science & Business Media
Release Date: 2011-04-26
This book is the first monograph providing an introduction to and an overview of numerical methods for the simulation of two-phase incompressible flows. The Navier-Stokes equations describing the fluid dynamics are examined in combination with models for mass and surfactant transport. The book pursues a comprehensive approach: important modeling issues are treated, appropriate weak formulations are derived, level set and finite element discretization techniques are analyzed, efficient iterative solvers are investigated, implementational aspects are considered and the results of numerical experiments are presented. The book is aimed at M Sc and PhD students and other researchers in the fields of Numerical Analysis and Computational Engineering Science interested in the numerical treatment of two-phase incompressible flows.