DMCA
Numerical Methods for Incompressible Flow
BibTeX
@MISC{Burger_numericalmethods,
author = {Martin Burger and Based Lecture and Notes René Pinnau and Tu Darmstadt},
title = {Numerical Methods for Incompressible Flow},
year = {}
}
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Abstract
Contents 2 Contents: The aim of this lecture is to give an overview on modern numerical methods for the computation of incompressible flows. We start with a short introduction to fluid mechanics, including the derivation and discussion of the most important models and equations. The numerical methods discussed in the subsequent part are ordered due to the model they solve, i.e., we start with the stationary Stokes problem, a linear saddlepoint problem, then proceed to stationary Navier-Stokes, which adds the complication of a nonlinear equation, and finally discuss the instationary Navier-Stokes equations, which adds time discretizations. In all cases, we shall discuss modern discretization strategies, their major properties, and the solution of the discretized equations. Major Goals: . Basic knowledge of fluid mechanics and associated mathematical models . Discretization of mixed problems and their iterative solution . Modern discretization and iteration methods for the incompre
Keyphrases
incompressible flow numerical method discretized equation stationary stokes problem short introduction nonlinear equation modern discretization associated mathematical model linear saddlepoint problem major property modern numerical method basic knowledge iterative solution time discretizations instationary navier-stokes equation subsequent part fluid mechanic mixed problem modern discretization strategy important model iteration method major goal stationary navier-stokes
