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

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 d...

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Published inAdvances in atmospheric sciences Vol. 30; no. 5; pp. 1320 - 1330
Main Author 李兴良 沈学顺 彭新东 肖锋 庄照荣 陈春刚
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 01.09.2013
Springer Nature B.V
Center of Numerical Weather Prediction, China Meteorological Administration, Beijing 100081%State Key Laboratory of Severe Weather, Chinese Academy of Meteorological Sciences, Beijing 100081%Department of Energy Sciences, Tokyo Institute of Technology, Yokohama 226-8502, Japan%School of Human Settlement and Civil Engineering, Xi'an Jiaotong University, Xi'an 710049
State Key Laboratory of Severe Weather, Chinese Academy of Meteorological Sciences, Beijing 100081
Subjects
Atmospheric Sciences
Atmospherics
Benchmarks
Constraints
Construction
Derivatives
Earth and Environmental Science
Earth Sciences
General circulation models
Geophysics/Geodesy
Mathematical analysis
Meteorology
Oscillations
Reconstruction
Transport
一阶导数
时间演化方程
有限体积
网格模型
自由度
输运
运输模式
阴阳
finite volume method
transport model
Yin-Yang grid
high-order scheme
Online AccessGet full text
ISSN0256-1530
1861-9533
DOI10.1007/s00376-013-2217-x

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Summary: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.
Bibliography: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.
LI Xingliang, SHEN Xueshun, PENG Xindong,XIAO Feng, ZHUANG Zhaorong,CHEN Chungang（1 State Key Laboratory of Severe Weather, Chinese Academy of Meteorological Sciences, Beijing 100081 2 Center of Numerical Weather Prediction, China Meteorological Administration, Beijing 100081 3Department of Energy Sciences, Tokyo Institute of Technology, Yokohama 226-8502, Japan 4School of Human Settlement and Civil Engineering, Xi＇an Jiaotong University, Xi＇an 710049）
transport model, Yin-Yang grid, finite volume method, high-order scheme
11-1925/O4
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ISSN:0256-1530
1861-9533
DOI:10.1007/s00376-013-2217-x