Topical Problems of Fluid Mechanics


Institute of Thermomechanics AS CR, v.v.i.	CTU in Prague Faculty of Mech. Engineering Dept. Tech. Mathematics	MIO Université du Sud Toulon Var - AMU - CNRS - IRD	Czech Pilot centre ERCOFTAC

Adaptive Mesh Refinement Method Applied to Shallow Water Model: A Mass Conservative Projection
K. Pons, F. Golay, R. Marcer
Abstract:
In the tsunami waves context, effcient numerical methods are necessary to simulate multi scales events. One way to reduce the computational cost is to use an adaptive mesh refinement method on unstructured meshes. This approach is used in this paper with a finite volume scheme solving the multi-dimensional Saint-Venant system. The adaptive mesh refinement method follows a block-based decomposition (called BB-AMR), which allows quick meshing and easy parallelization. One step of the AMR method is the so-called projection step where the new mesh values have to be defined from the old ones. For vertically integrated model the bathymetry variation during the projection step plays a crucial role on the mass conservation. To avoid large deficit or excess of mass a special attention is given to the projection step. Finally a 3D test case simulation is compared to experimental results to illustrated the quasi conservation of the mass with an appropriated projection method.
Keywords:
Finite volume, Adaptive mesh refinement, Projection, Tsunami propagation, Saint-Venant model, Shallow water

Fulltext: PDF DOI: https://doi.org/10.14311/TPFM.2017.032

In Proceedings Topical Problems of Fluid Mechanics 2017, Prague, 2017 Edited by David Šimurda and Tomáš Bodnár, pp. 249-258 ISBN 978-80-87012-61-1 (Print) ISSN 2336-5781 (Print)