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Multigrid - Adaptive Local Refinement Solver for Incompressible Flows

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Large-Scale Scientific Computing (LSSC 2001)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2179))

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Abstract

An earlier developed 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 allow us to perform unstructured local refinement in conjunction with the finite volume discretization. The multigrid - adaptive local refinement algorithm is tested on 2DP oisson equation and further is applied to a lid-driven flow in a square cavity, comparing the results with a bench-mark solution.

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© 2001 Springer-Verlag Berlin Heidelberg

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Iliev, O., Stoyanov, D. (2001). Multigrid - Adaptive Local Refinement Solver for Incompressible Flows. In: Margenov, S., Waśniewski, J., Yalamov, P. (eds) Large-Scale Scientific Computing. LSSC 2001. Lecture Notes in Computer Science, vol 2179. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45346-6_38

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  • DOI: https://doi.org/10.1007/3-540-45346-6_38

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-43043-8

  • Online ISBN: 978-3-540-45346-8

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