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Coupling Meshfree Methods and FEM for the Solution of the Incompressible Navier‐Stokes Equations
Author(s) -
Fries ThomasPeter,
Matthies Hermann G.
Publication year - 2004
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200410331
Subject(s) - finite element method , diffuse element method , partial differential equation , compressibility , meshfree methods , coupling (piping) , mathematics , incompressible flow , domain (mathematical analysis) , mathematical analysis , smoothed finite element method , extended finite element method , moving least squares , physics , mechanics , boundary knot method , spectral element method , mechanical engineering , boundary element method , engineering , thermodynamics
Meshfree Moving Least Squares and meshbased Finite Element shape functions are coupled in order to combine the advantages of each method. Meshfree methods are used in small parts of the domain, where a conforming mesh is difficult to maintain, e.g. due to large deformations. The FEM is used in the rest of the domain and enables an efficient solution of the underlying partial differential equations. The coupled formulation is successfully applied to flow simulations governed by the incompressible Navier‐Stokes equations. (© 2004 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)