Arbitrary-Order Conservative and Consistent Remapping and a Theory of Linear Maps: Part I

作者：Ullrich Paul A^*; Taylor Mark A

来源：Monthly Weather Review, 2015, 143(6): 2419-2440.

DOI：10.1175/MWR-D-14-00343.1

The design of accurate, conservative, consistent, and monotone operators for remapping scalar fields between computational grids on the sphere has been a persistent issue for global modeling groups. This problem is especially pronounced when mapping between distinct discretizations (such as finite volumes or finite elements). To this end, this paper provides a novel unified mathematical framework for the development of linear remapping operators. This framework is then applied in the development of high-order conservative, consistent, and monotone linear remapping operators from a finite-element discretization to a finite-volume discretization. The resulting scheme is evaluated in the context of both idealized and operational simulations and shown to perform well for a variety of problems.

• 出版日期2015-6