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This report summarizes the major progresses to develop the dynamic core fornext-generation atmospherical model for both numerical weather prediction andclimate simulation. The numerical framework is based on a general formulation,so-called multi-moment constrained finite volume (MCV) method, which iswell-balanced among solution quality (accuracy and robustness), algorithmicsimplicity, computational efficiency and flexibility for model configuration. Alocal high-order limiting projection is also devised to remove spuriousoscillations and noises in numerical solutions, which allows the numericalmodel working well alone without artificial diffusion or filter. The resultednumerical schemes are very simple, efficient and easy to implement for bothstructured and unstructured grids, which provide a promising plateform of greatpractical significance. We have implemented the MCV method to shallow waterequations on various spherical grids, including Yin-Yang overset grid, cubedsphere grid and geodesic icosahedral grid, non-hydrostatic compressibleatmosherical model under complex topographic boundary conditions. In addition,the moist dynamics simulation like moist thermal bubble has been validated byusing direct microphysical feedback. We have also constructed a prototype of 3Dglobal non-hydrostatic compressible atmosherical model on cubed sphere gridwith an explicit/implicit-hybrid time integration scheme, which can be used asthe base to develop global atmospheric GCM. All the MCV models have beenverified with widely used benchmark tests. The numerical results show that thepresent MCV models have solution quality competitive to other exiting highorder models. Parallelization of the MCV shallow water model on cubed spheregrid reveals its suitability for large scale parallel processing with desirablescalability.

Review on development of a scalable high-order nonhydrostatic multi-moment constrained finite volume dynamical core