TY - RPRT
A1 - Iliev, O.
A1 - Stoyanov, D.
T1 - Multigrid – adaptive local refinement solver for incompressible flows
N2 - 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.
T3 - Berichte des Fraunhofer-Instituts für Techno- und Wirtschaftsmathematik (ITWM Report) - 54
KW - : Navier-Stokes equations
KW - incompressible flow
KW - projection-type splitting
KW - SIMPLE
KW - multigrid methods
KW - adaptive local refinement
KW - lid-driven flow in a
Y1 - 2003
UR - https://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/1511
UR - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:hbz:386-kluedo-13253
ER -