| 一类二维三温辐射热传导方程组的对称有限体格式 |
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| 引用本文： | 聂存云,舒适.一类二维三温辐射热传导方程组的对称有限体格式[J].湘潭大学自然科学学报,2004,26(1):17-22. |
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| 作者姓名： | 聂存云 舒适 |
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| 作者单位： | 湘潭大学计算与应用数学研究所,湖南,湘潭,411105 |
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| 基金项目： | 国家973项目"大规模科学计算研究"课题资助项目(G19990328),国家自然科学基金委和中国工程物理研究院联合基金资助(NSAF(10376031)). |
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| 摘 要： | 针对一类椭圆问题和二维三温热传导方程组,在四边形网格剖分下。构造了两种保对称的有限体格式。通过与目前广泛使用的九点差分格式比较。新格式在对非正交网格的适应性、收敛精度以及相应离散化系统的快速求解等方面具有明显的优势。另外,新格式在规则四边形网格剖分下(如平行四边形网格),对flux(流)函数具有超逼近性。
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| 关 键 词： | 对称有限体格式 二维三温热传导方程组 超收敛 Euler格式 |
| 文章编号： | 1000-5900(2004)01-0017-06 |
| 修稿时间： | 2003年10月21 |
A Kind of Symmetric Finite Volume Scheme for the Two-Dimension Three-Temperture Heat Conduction Equations |
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| NIE Cunyun,SHU Shi.A Kind of Symmetric Finite Volume Scheme for the Two-Dimension Three-Temperture Heat Conduction Equations[J].Natural Science Journal of Xiangtan University,2004,26(1):17-22. |
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| Authors: | NIE Cunyun SHU Shi |
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| Abstract: | Aiming at a kind of elliptic problem and the two-dimension three-temperature heat conduction equations, two type of preserving-symmetry finite volume schemes under quadrangle partition grids are established in this paper. Compared with the nine-point difference scheme which are widely applied (reference(2)), our new schemes have more advantageous on non-orthogonal grids, for example, the convergent accuracy, the fast-solving of the discrete systems and so on. In addition, the numerical solution of new scheme II have super-approximation for the flux function under the regular partition grids (e.g. parallelogram grids). |
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| Keywords: | the symmetric finite volume scheme the two-dimension three-temperature heat conduction equations superconvergence the Euler scheme |
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