Multigrid – adaptive local refinement solver for incompressible flows

  • A non-linear multigrid solver for incompressible Navier-Stokes equations, exploiting finite volume discretization of the equations, is extended by adaptive local refinement. The multigrid is the outer iterative cycle, while the SIMPLE algorithm is used as a smoothing procedure. Error indicators are used to define the refinement subdomain. A special implementation approach is used, which allows to perform unstructured local refinement in conjunction with the finite volume discretization. The multigrid - adaptive local refinement algorithm is tested on 2D Poisson equation and further is applied to a lid-driven flows in a cavity (2D and 3D case), comparing the results with bench-mark data. The software design principles of the solver are also discussed.

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Metadaten
Author:O. Iliev, D. Stoyanov
URN (permanent link):urn:nbn:de:hbz:386-kluedo-13253
Serie (Series number):Berichte des Fraunhofer-Instituts für Techno- und Wirtschaftsmathematik (ITWM Report) (54)
Document Type:Report
Language of publication:English
Year of Completion:2003
Year of Publication:2003
Publishing Institute:Fraunhofer-Institut für Techno- und Wirtschaftsmathematik
Tag:: Navier-Stokes equations; SIMPLE; adaptive local refinement; incompressible flow; lid-driven flow in a; multigrid methods; projection-type splitting
Faculties / Organisational entities:Fraunhofer (ITWM)
DDC-Cassification:510 Mathematik

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