Conservative semi‐Lagrangian advection on adaptive unstructured meshes
- 12 February 2004
- journal article
- research article
- Published by Wiley in Numerical Methods for Partial Differential Equations
- Vol. 20 (3) , 388-411
- https://doi.org/10.1002/num.10100
Abstract
A conservative semi‐Lagrangian method is designed in order to solve linear advection equations in two space variables. The advection scheme works with finite volumes on an unstructured mesh, which is given by a Voronoi diagram. Moreover, the mesh is subject to adaptive modifications during the simulation, which serves to effectively combine good approximation quality with small computational costs. The required adaption rules for the refinement and the coarsening of the mesh rely on a customized error indicator. The implementation of boundary conditions is addressed. Numerical results finally confirm the good performance of the proposed conservative and adaptive advection scheme. © 2004 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 20: 388–411, 2004Keywords
Funding Information
- European Union within the project NetAGES (Network for Automated Geometry Extraction from Seismic) (IST-1999-29034)
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