An Adaptive Nonhydrostatic Atmospheric Dynamical Core Using a Multi-Moment Constrained Finite Volume Method  

作　　者：Pei HUANG Chungang CHEN Xingliang LI Xueshun SHEN Feng XIAO 

机构地区：[1]State Key Laboratory for Strength and Vibration of Mechanical Structures,Xi’an Jiaotong University,Xi’an 710049,China [2]Center of Numerical Weather Prediction,China Meteorological Administration,Beijing 100081,China [3]Department of Mechanical Engineering,Tokyo Institute of Technology,Tokyo 226-8502,Japan

出　　处：《Advances in Atmospheric Sciences》2022年第3期487-501,共15页大气科学进展（英文版）

基　　金：supported by The National Key Research and Development Program of China(Grants Nos.2017YFA0603901 and 2017YFC1501901);The National Natural Science Foundation of China(Grant No.41522504)。

摘　　要：An adaptive 2 D nonhydrostatic dynamical core is proposed by using the multi-moment constrained finite-volume(MCV) scheme and the Berger-Oliger adaptive mesh refinement(AMR) algorithm. The MCV scheme takes several pointwise values within each computational cell as the predicted variables to build high-order schemes based on single-cell reconstruction. Two types of moments, such as the volume-integrated average(VIA) and point value(PV), are defined as constraint conditions to derive the updating formulations of the unknowns, and the constraint condition on VIA guarantees the rigorous conservation of the proposed model. In this study, the MCV scheme is implemented on a height-based, terrainfollowing grid with variable resolution to solve the nonhydrostatic governing equations of atmospheric dynamics. The AMR grid of Berger-Oliger consists of several groups of blocks with different resolutions, where the MCV model developed on a fixed structured mesh can be used directly. Numerical formulations are designed to implement the coarsefine interpolation and the flux correction for properly exchanging the solution information among different blocks. Widely used benchmark tests are carried out to evaluate the proposed model. The numerical experiments on uniform and AMR grids indicate that the adaptive model has promising potential for improving computational efficiency without losing accuracy.

关 键 词：adaptive mesh refinement multi-moment constrained finite-volume method nonhydrostatic model dynamical core high-order methods 

分 类 号：P45[天文地球—大气科学及气象学]