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Main Title: A Fictitious Domain Method for the Numerical Solution of the Stationary Navier-Stokes Equations
Author(s): Slawig, Thomas
Type: Research Paper
Abstract: An embedding domain method for the stationary incompressible Navier-Stokes equations is presented. The method is useful for solving the equations or complicated-shaped or varying domains. The original domain is embedded in a so-called fictitious one. On the latter an equivalent formulation of the Navier-Stokes equation is derived. Existence and uniqueness results of its solution(s) are presented. The structure of and solution methods for the discrete systems and numerical issues are discussed. An algorithm for finding the trace of the original boundary in the fictitious domain are given. Numerical results for the fictitious domain method are compared with those from computations on the original domain. As test case the 2-D flow around a circular cylinder in a channel is used.
Subject(s): Navier-Stokes Equations
embedding domain method
Issue Date: 18-Dec-2003
Date Available: 17-Dec-2021
Language Code: en
DDC Class: 510 Mathematik
MSC 2000: 76D05 Navier-Stokes equations
65N30 Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods
Series: Preprint-Reihe des Instituts für Mathematik, Technische Universität Berlin
Series Number: 2003, 45
ISSN: 2197-8085
TU Affiliation(s): Fak. 2 Mathematik und Naturwissenschaften » Inst. Mathematik
Appears in Collections:Technische Universität Berlin » Publications

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