A conservative scheme for 2D and 3D adaptive semi-Lagrangian advection


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jbehrens [ at ] awi-bremerhaven.de

Abstract

This article describes a 2D and 3D adaptive and mass conservingsemi-Lagrangian advection scheme for atmospheric transport problems. Fromthe integral form of the conservation law we derive a semi-Lagrangian schemebased on conservation of mass along trajectories. The mapping of mass fromthe old (adaptively refined and possibly different) grid to the upstream controlvolume is performed by a mass packet based scheme, essentially consistingof a sub-grid discretization. We validate the new adaptive and conservativesemi-Lagrangian scheme with four different analytic test cases.



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Published
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Contemporary Mathematics.
Eprint ID
15119
Cite as
Behrens, J. and Mentrup, L. (2005): A conservative scheme for 2D and 3D adaptive semi-Lagrangian advection , Contemporary Mathematics .


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