The remapped particle-mesh advection scheme

Details The remapped particle-mesh advection scheme The remapped particle-mesh advection scheme

2006-07-26

arxiv.org/abs/physics/0607243v1

Physics

Atmospheric and Oceanic Physics

Scientific paper

10.1002/qj.11

We describe the remapped particle-mesh method, a new mass-conserving method for solving the density equation which is suitable for combining with semi-Lagrangian methods for compressible flow applied to numerical weather prediction. In addition to the conservation property, the remapped particle-mesh method is computationally efficient and at least as accurate as current semi-Lagrangian methods based on cubic interpolation. We provide results of tests of the method in the plane, results from incorporating the advection method into a semi-Lagrangian method for the rotating shallow-water equations in planar geometry, and results from extending the method to the surface of a sphere.

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