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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Bibliographic Details
Published in:Advances in atmospheric sciences 2013-09, Vol.30 (5), p.1320-1330
Main Author: 李兴良 沈学顺 彭新东 肖锋 庄照荣 陈春刚
Format: Article
Language:English
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
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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.
ISSN:0256-1530
1861-9533
DOI:10.1007/s00376-013-2217-x