Abstract
A conservative semi-Lagrangian transport scheme based on CIP/Multi-moment finite volume method has been developed on the Yin-Yang spherical grid. The underlying concept of the CIP/MM method used here is to treat two kinds of moments, namely the volume integrated average (VIA) and the point value (PV), as the prognostic variables different from those used in the conventional finite volume method. At the same time, the single-cell piecewise interpolation function over each mesh element is constructed in terms of both the VIA and the PV moments. In this paper, we present some numerical tests and verifications for implementing the CIP/MM finite volume method on the Yin-Yang grid.
