Abstract
The objective of this work is to create grids for free-surface water flow simulation entirely with automatic grid refinement. It is shown why it is necessary to refine the mesh iteratively as the solution converges and why refinement and derefinement of hexahedral cells must be treated anisotropically.The proposed refinement criterion is a combination of the pressure Hessian with refinement at the free surface, in order to capture the flow which drives the surface motion and the position of the surface itself. Smoothing is needed in the computation of the Hessian in order to remove oscillations in the pressure, the pressure Hessian is extrapolated through the free surface to remove its discontinuity there.Two test cases confirm that effective fine meshes for wave computation can be created with the proposed automatic refinement procedure.
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Computations were performed using HPC resources from GENCI (Grant 2013-21308), which is gratefully acknowledged.
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Wackers, J., Deng, G., Guilmineau, E., Leroyer, A., Queutey, P., Visonneau, M. (2015). Creating Free-Surface Flow Grids with Automatic Grid Refinement. In: Perotto, S., Formaggia, L. (eds) New Challenges in Grid Generation and Adaptivity for Scientific Computing. SEMA SIMAI Springer Series, vol 5. Springer, Cham. https://doi.org/10.1007/978-3-319-06053-8_15
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DOI: https://doi.org/10.1007/978-3-319-06053-8_15
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