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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Author: O. Iliev, D. Stoyanov urn:nbn:de:hbz:386-kluedo-13253 Berichte des Fraunhofer-Instituts für Techno- und Wirtschaftsmathematik (ITWM Report) (54) Report English 2003 2003 Fraunhofer-Institut für Techno- und Wirtschaftsmathematik 2004/02/10 : Navier-Stokes equations; SIMPLE; adaptive local refinement; incompressible flow; lid-driven flow in a; multigrid methods; projection-type splitting Fraunhofer (ITWM) 5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik Standard gemäß KLUEDO-Leitlinien vor dem 27.05.2011

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