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.
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Acknowledgements
The research of Lars Röhe was supported by the German Research Foundation (DFG) through Research Training Group 1023.
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Röhe, L., Lube, G. (2013). Layer-Adapted Meshes Versus Weak Dirichlet Conditions in Low-Turbulent Flow Simulation. In: Cangiani, A., Davidchack, R., Georgoulis, E., Gorban, A., Levesley, J., Tretyakov, M. (eds) Numerical Mathematics and Advanced Applications 2011. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-33134-3_62
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DOI: https://doi.org/10.1007/978-3-642-33134-3_62
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