Fourth order transport model on Yin-Yang grid by multi-moment constrained 铿乶ite volume scheme

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• 作者：Xingliang Li^a ; Xueshun Shen^a ; Xindong Peng^b ; Feng Xiao^c ; Zhaorong Zhuang^a ; Chungang Chen^d ; ¹ ; ^{cgchen@mail.xjtu.edu.cn}
• 关键词：Transport model ; Yin-Yang grid ; Finite volume scheme ; High order scheme
• 刊名：Procedia Computer Science
• 出版年：2012
• 期刊代码：pc74_18770509
• 类别：cp
• 出版时间：2012
• 卷：9
• 期：Complete
• 页码：1004-1013
• 文件大小：468 K

摘要

A fourth order transport model is proposed for global computation with the application of multi-moment constrained 铿乶ite volume (MCV) scheme and Yin-Yang overset grid. Using multi-moment concept, local degrees of freedom (DOFs) are point-wisely de铿乶ed within each mesh element to build a cubic spatial reconstruction. The updating formulations for local DOFs are derived by adopting multi moments as constraint conditions, including volume-integrated average (VIA), point value (PV) and 铿乺st order derivative value (DV). Using Yin-Yang grid eliminates the polar singularities and results in a quasi-uniform mesh over the whole globe. Each component of Yin-Yang grid is a part of the LAT-LON grid, an orthogonal structured grid, where the MCV formulations designed for Cartesian grid can be applied straightforwardly to develop the high order numerical schemes. Proposed MCV model is checked by widely used benchmark tests. The numerical results show that the present model has fourth order accuracy and is competitive to most existing ones.