Abstract
We investigate the effect of interface irregularity on the convergence of the BDDC method for Navier-Stokes equations. A benchmark problem of a sequence of contracting channels is proposed to evaluate the robustness of the iterative solver with respect to element aspect ratios at the interface. Partitioners based on graph of the mesh and the geometry of the domain are compared. It is shown, that the convergence is significantly improved by avoiding irregular interfaces for the benchmark problem as well as for an industrial problem of oil flow in hydrostatic bearing.
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Acknowledgements
We are grateful to Fehmi Cirak for valuable discussions on domain partitioning by the recursive bisection algorithm, and to Santiago Badia for discussing the impact of element aspect ratios on convergence of BDDC. This work was supported by the Czech Technical University in Prague through the student project SGS16/206/OHK2/3T/12, by the Czech Science Foundation through grant 14-02067S, and by the Czech Academy of Sciences through RVO:67985840.
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Hanek, M., Šístek, J., Burda, P. (2017). The Effect of Irregular Interfaces on the BDDC Method for the Navier-Stokes Equations. In: Lee, CO., et al. Domain Decomposition Methods in Science and Engineering XXIII. Lecture Notes in Computational Science and Engineering, vol 116. Springer, Cham. https://doi.org/10.1007/978-3-319-52389-7_16
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DOI: https://doi.org/10.1007/978-3-319-52389-7_16
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