The remapped particle-mesh advection scheme
Atmospheric and Oceanic Physics
2009-11-13 v1 Fluid Dynamics
Abstract
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.
Cite
@article{arxiv.physics/0607243,
title = {The remapped particle-mesh advection scheme},
author = {Colin J. Cotter and Jason Frank and Sebastian Reich},
journal= {arXiv preprint arXiv:physics/0607243},
year = {2009}
}