A remapped particle-mesh semi-Lagrangian advection scheme
Quarterly Journal of the Royal Meteorological Society , Volume 133 - Issue 622 p. 251- 260
We describe the remapped particle-mesh advection 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.
|semi-Lagrangian advection, mass conservation, particle-mesh method, spline interpolation|
|John Wiley & Sons|
|Quarterly Journal of the Royal Meteorological Society|
|Symplectic Integration of Atmospheric Dynamics: Long-term Statistical Accuracy for Ensemble Climate Simulations|
Cotter, C.J, Frank, J.E, & Reich, S. (2007). A remapped particle-mesh semi-Lagrangian advection scheme. Quarterly Journal of the Royal Meteorological Society, 133(622), 251–260. doi:10.1002/qj.11