publication . Other literature type . Conference object . 2005

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

Jörn Behrens; Lars Mentrup;
Open Access
  • Published: 01 Jan 2005 Journal: Recent Advances in Adaptive Computation (issn: 0271-4132, eissn: 1098-3627, Copyright policy)
  • Publisher: American Mathematical Society
  • Country: Germany
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.
Persistent Identifiers
Any information missing or wrong?Report an Issue