An inherently mass-conserving iterative semi-implicit semi-Lagrangian discretization of the non-hydrostatic vertical-slice equations

摘要

Recently an inherently mass-conserving semi-Lagrangian transport scheme has been successfully coupled to an iterative semi-implicit scheme in a global shallow-water-equation (SWE) model. Here that methodology is extended and applied to an iterative semi-implicit semi-Lagrangian (SISL) compressible, non-hydrostatic vertical-slice model, in which the constant reference state of the SWE model is now replaced by a vertically varying reference state. An advantage of this approach is that it preserves thesame basic structure as the interpolating, non-mass-conserving, iterative SISL model. The resulting mass-conserving model is applied to a standard set of test problems for such models and compared with results from both the literature and the interpolating, iterative SISL version of the model.