An Accurate Multimoment Constrained Finite Volume Transport Model on Yin-Yang Grids  

作　　者：李兴良 沈学顺 彭新东 肖锋 庄照荣 陈春刚 

机构地区：[1]State Key Laboratory of Severe Weather, Chinese Academy of Meteorological Sciences [2]Center of Numerical Weather Prediction, China Meteorological Administration [3]Department of Energy Sciences, Tokyo Institute of Technology [4]School of Human Settlement and Civil Engineering, Xi'an Jiaotong University

出　　处：《Advances in Atmospheric Sciences》2013年第5期1320-1330,共11页大气科学进展（英文版）

基　　金：supported by National Key Technology R&D Program of China (Grant No. 2012BAC22B01);Natural Science Foundation of China (Grant Nos. 10902116, 40805045, and 41175095);Grants-in-Aid for Scientific Research, Japan Society for the Promotion of Science (Grant No. 24560187)

摘　　要：A global transport model is proposed in which a multimoment constrained finite volume （MCV） scheme is applied to a Yin-Yang overset grid. The MCV scheme defines 16 degrees of freedom （DOFs） within each element to build a 2D cubic reconstruction polynomial. The time evolution equations for DOFs are derived from constraint conditions on moments of line-integrated averages （LIA）, point values （PV）, and values of first-order derivatives （DV）. The Yin-Yang grid eliminates polar singularities and results in a quasi-uniform mesh. A limiting projection is designed to remove nonphysical oscillations around discontinuities. Our model was tested against widely used benchmarks; the competitive results reveal that the model is accurate and promising for developing general circulation models.A global transport model is proposed in which a multimoment constrained finite volume （MCV） scheme is applied to a Yin-Yang overset grid. The MCV scheme defines 16 degrees of freedom （DOFs） within each element to build a 2D cubic reconstruction polynomial. The time evolution equations for DOFs are derived from constraint conditions on moments of line-integrated averages （LIA）, point values （PV）, and values of first-order derivatives （DV）. The Yin-Yang grid eliminates polar singularities and results in a quasi-uniform mesh. A limiting projection is designed to remove nonphysical oscillations around discontinuities. Our model was tested against widely used benchmarks; the competitive results reveal that the model is accurate and promising for developing general circulation models.

关 键 词：transport model Yin-Yang grid finite volume method high-order scheme 

分 类 号：O174.14[理学—数学] P433[理学—基础数学]