重映射粒子网格平流方案
The remapped particle-mesh advection scheme
摘要：
本文介绍了一种新的质量守恒的粒子网格方法--重映射粒子网格法，该方法适用于与半拉格朗日法相结合的可压缩流场的密度方程求解，并用于数值天气预报。除了守恒性质之外，重新映射的粒子-网格方法在计算上是高效的，并且至少与基于三次插值的当前半拉格朗日法一样精确。我们提供的方法在平面上的测试结果，结果从平流方法纳入一个半拉格朗日法旋转浅水方程在平面几何形状，和结果从延伸的方法到一个球的表面。
英文摘要：
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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