Multi-scale hydro-morphodynamic modelling using mesh movement methods

Clare, M. C. A. ORCID: https://orcid.org/0000-0002-5010-0363, Wallwork, J. G., Kramer, S. C., Weller, H. ORCID: https://orcid.org/0000-0003-4553-7082, Cotter, C. J. and Piggott, M. D. (2021) Multi-scale hydro-morphodynamic modelling using mesh movement methods. GEM - International Journal on Geomathematics, 13 (1). ISSN 1869-2680 doi: 10.1007/s13137-021-00191-1

Abstract/Summary

Abstract: Hydro-morphodynamic modelling is an important tool that can be used in the protection of coastal zones. The models can be required to resolve spatial scales ranging from sub-metre to hundreds of kilometres and are computationally expensive. In this work, we apply mesh movement methods to a depth-averaged hydro-morphodynamic model for the first time, in order to tackle both these issues. Mesh movement methods are particularly well-suited to coastal problems as they allow the mesh to move in response to evolving flow and morphology structures. This new capability is demonstrated using test cases that exhibit complex evolving bathymetries and have moving wet-dry interfaces. In order to be able to simulate sediment transport in wet-dry domains, a new conservative discretisation approach has been developed as part of this work, as well as a sediment slide mechanism. For all test cases, we demonstrate how mesh movement methods can be used to reduce discretisation error and computational cost. We also show that the optimum parameter choices in the mesh movement monitor functions are fairly predictable based upon the physical characteristics of the test case, facilitating the use of mesh movement methods on further problems.

Item Type	Article
URI	https://centaur.reading.ac.uk/id/eprint/101802
Identification Number/DOI	10.1007/s13137-021-00191-1
Refereed	Yes
Divisions	Science > School of Mathematical, Physical and Computational Sciences > Department of Meteorology
Uncontrolled Keywords	Original Paper, Numerical Methods for Global and Regional Ocean Modeling, Mesh adaptation, Mesh movement, Sediment transport, Morphology, 65M60, 65M50, 35Q35, 86A05
Publisher	Springer Berlin Heidelberg
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