| 非结构任意多边形网格辐射扩散方程有限体积格式 |
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| 引用本文： | 刘学哲,余云龙,王瑞利,林忠.非结构任意多边形网格辐射扩散方程有限体积格式[J].数值计算与计算机应用,2010,31(4):259-270. |
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| 作者姓名： | 刘学哲 余云龙 王瑞利 林忠 |
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| 作者单位： | 北京应用物理与计算数学研究所,北京100094 |
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| 基金项目： | 国家自然科学基金，计算物理重点实验室基金 |
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| 摘 要： | 本文基于非结构任意多边形网格体系,给出了求解辐射扩散方程的中心型有限体积格式,格式中出现的网格节点未知量由相邻的网格中心未知量加权给出,综合考虑网格几何及扩散系数的影响,给出了节点未知量的一种加权方式,数值实验表明格式在各种非结构网格上具有较强的适应性.
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| 关 键 词： | 非结构任意多边形网格 节点加权方式 中心型有限体积格式 |
A CELL-CENTERED FINITE VOLUME SCHEME FOR DISCRETIZING DIFFUSION EQUATION ON UNSTRUCTURED ARBITRARY POLYGONAL MESHES |
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| Liu Xuezhe,Yu Yunlong,Wang Ruili,Lin Zhong.A CELL-CENTERED FINITE VOLUME SCHEME FOR DISCRETIZING DIFFUSION EQUATION ON UNSTRUCTURED ARBITRARY POLYGONAL MESHES[J].Journal on Numerical Methods and Computer Applications,2010,31(4):259-270. |
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| Authors: | Liu Xuezhe Yu Yunlong Wang Ruili Lin Zhong |
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| Affiliation: | Liu Xuezhe Yu Yunlong Wang Ruili Lin Zhong (Institute of Applied Physics and Computational Mathematics, Beijing 100094, China) |
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| Abstract: | A cell-centered finite volume scheme is proposed for discretizing diffusion equations on unstructured arbitrary polygonal meshes.The scheme has only cell-centered unknowns, the vertex unknowns has been expressed by the neighboring cell-centered unknowns .Numerical experiments show that the method is well adopted on unstructured polygonal meshes. |
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| Keywords: | unstructured arbitrary polygonal meshes node-weighted method cell-centeredfinite volume scheme |
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