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二维对流反应方程的高精度多重网格方法

HIGH ACCURACY MULTIGRID SOLUTION OF THE TWO-DIMENSIONAL CONVECTION REACTION EQUATION
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摘要 利用一阶偏导数项的四阶紧致差分算子,直接推导出了数值求解二维对流反应方程的一种新的高精度紧致差分格式。为了提高差分方程的求解效率,采用多重网格加速技术,建立了与之相适应的多重网格V循环算法。数值实验结果验证了本文方法的精确性和可靠性。 Making use of the fourth-order compact difference formula of the first derivative term, a new high accuracy difference scheme for the two-dimensional convection reaction equation is proposed. A multigrid accelerating technique is preseoted to overcome the difficulties of traditional relaxation methods and a fast solution is obtained. Numerical results prove its accuracy and dependability.
作者 田瑞雪 葛永斌 吴文权
机构地区 上海理工大学城市建设与环境工程学院 上海理工大学动力工程学院
出处 《工程热物理学报》 EI CAS CSCD 北大核心 2004年第3期402-404,共3页 Journal of Engineering Thermophysics
基金 国家自然科学基金(No.70371011) 上海理工大学创新基金
关键词 二维对流反应方程 多重网格方法 紧致差分格式 对流扩散 CDR 高精度紧致格式 convection reaction equation compact difference scheme high accuracy multigrid
分类号 TK124 [动力工程及工程热物理—工程热物理]
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参考文献12

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二级参考文献11

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共引文献12

工程热物理学报
2004年 第3期

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