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Layer-Adapted Meshes Versus Weak Dirichlet Conditions in Low-Turbulent Flow Simulation

In: Numerical Mathematics and Advanced Applications 2011

Author

Listed:
  • L. Röhe

    (Georg-August University Göttingen, Institute for Numerical and Applied Mathematics)

  • G. Lube

    (Georg-August University Göttingen, Institute for Numerical and Applied Mathematics)

Abstract

For a family of variational multiscale methods we perform an a-priori error analysis for inf-sup stable finite element pairs in low-turbulent incompressible flow problems. This is done for underlying layer-adapted meshes with strong Dirichlet boundary conditions and for isotropic meshes with weak Dirichlet boundary conditions. For both approaches we provide first numerical results in a three-dimensional channel at Re τ = 180.

Suggested Citation

  • L. Röhe & G. Lube, 2013. "Layer-Adapted Meshes Versus Weak Dirichlet Conditions in Low-Turbulent Flow Simulation," Springer Books, in: Andrea Cangiani & Ruslan L. Davidchack & Emmanuil Georgoulis & Alexander N. Gorban & Jeremy Levesley (ed.), Numerical Mathematics and Advanced Applications 2011, edition 127, pages 587-595, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-33134-3_62
    DOI: 10.1007/978-3-642-33134-3_62
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