A Positivity-preserving Conservative Semi-Lagrangian Multi-moment Global Transport Model on the Cubed Sphere

Jie TANG; Chungang CHEN; Xueshun SHEN; Feng XIAO; Xingliang LI

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A Positivity-preserving Conservative Semi-Lagrangian Multi-moment Global Transport Model on the Cubed Sphere

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A positivity-preserving conservative semi-Lagrangian transport model by multi-moment finite volume method has been developed on the cubed-sphere grid.Two kinds of moments(i.e.,point values(PV moment) at cell interfaces and volume integrated average(VIA moment) value) are defined within a single cell.The PV moment is updated by a conventional semi-Lagrangian method,while the VIA moment is cast by the flux form formulation to assure the exact numerical conservation.Different from the spatial approximation used in the CSL2(conservative semi-Lagrangian scheme with second order polynomial function) scheme,a monotonic rational function which can effectively remove non-physical oscillations is reconstructed within a single cell by the PV moments and VIA moment.To achieve exactly positive-definite preserving,two kinds of corrections are made on the original conservative semi-Lagrangian with rational function(CSLR)scheme.The resulting scheme is inherently conservative,non-negative,and allows a Courant number larger than one.Moreover,the spatial reconstruction can be performed within a single cell,which is very efficient and economical for practical implementation.In addition,a dimension-splitting approach coupled with multi-moment finite volume scheme is adopted on cubed-sphere geometry,which benefitsthe implementation of the 1 D CSLR solver with large Courant number.The proposed model is evaluated by several widely used benchmark tests on cubed-sphere geometry.Numerical results show that the proposed transport model can effectively remove nonphysical oscillations and preserve the numerical nonnegativity,and it has the potential to transport the tracers accurately in a real atmospheric model.

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《大气科学进展：英文版》 |2021年第9期|1460-1473|共14页
作者
Jie TANG; Chungang CHEN; Xueshun SHEN; Feng XIAO; Xingliang LI;
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作者单位

National Meteorological Center/Center of Numerical Weather Predication;

China Meteorological Administration;

Beijing 100081;

China;

State Key Laboratory for Strength and Vibration of Mechanical Structures&School of Aerospace Engineering;

Xi’an Jiaotong University;

Xi’an 710049;

China;

Department of Mechanical Engineering;

Tokyo Institute of Technology;

Tokyo 152-8850;

Japan;

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原文格式 PDF
正文语种 chi
中图分类数学分析;
关键词
global transport model; cubed-sphere grid; multi-moment method; single-cell-based scheme; conservative semi-Lagrangian method;

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A Positivity-preserving Conservative Semi-Lagrangian Multi-moment Global Transport Model on the Cubed Sphere

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