Meshfree Petrov-Galerkin methods for the incompressible Navier-Stokes equations

Thomas Peter Fries, Hermann Georg Matthies

Publikation: Beitrag in Buch/Bericht/KonferenzbandBeitrag in Buch/BerichtBegutachtung

Abstract

Meshfree stabilised methods are employed and compared for the solution of the incompressible Navier-Stokes equations in Eulerian formulation. These Petrov-Galerkin methods are standard tools in the FEM context, and can be used for meshfree methods as well. However, the choice of the stabilisation parameter has to be reconsidered. We find that reliable and successful approximation with standard formulas for the stabilisation parameter can only be expected for shape functions with small supports or dilatation parameters.

Originalspracheenglisch
TitelMeshfree Methods for Partial Differential Equations II
Seiten39-54
Seitenumfang16
Band43
PublikationsstatusVeröffentlicht - 2005

Publikationsreihe

NameLecture Notes in Computational Science and Engineering
Band43
ISSN (Print)14397358

ASJC Scopus subject areas

  • Allgemeiner Maschinenbau
  • Computational Mathematics
  • Modellierung und Simulation
  • Steuerung und Optimierung
  • Diskrete Mathematik und Kombinatorik

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