| 二维铸造充型过程数值模拟的特征分数步长法 |
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| 引用本文： | 鲁统超,葛亮.二维铸造充型过程数值模拟的特征分数步长法[J].山东工业大学学报,2007,37(1):99-106. |
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| 作者姓名： | 鲁统超 葛亮 |
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| 作者单位： | 山东大学数学与系统科学学院,山东济南250100 |
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| 基金项目： | 教育部高等学校博士点基金资助项目（20030422049） |
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| 摘 要： | 铸造充型过程的数学模型是包括连续性方程和动量方程的偏微分方程组．利用分数步长法将动量方程分裂成两部分，对第一个方程采用特征差分法进行处理，对第二个方程结合连续性方程进行处理后得到压力的泊松方程，用迭代法进行求解，给出了收敛性分析和稳定性条件．
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| 关 键 词： | 分数步长 特征差分 收敛性 迭代 |
| 文章编号： | 1672-3961（2007）01-0099-08 |
| 修稿时间： | 2006-07-03 |
Characteristics of the fractional step method for two dimensions melt flow simulation in the casting process |
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| LU Tong-chao, GE Liang.Characteristics of the fractional step method for two dimensions melt flow simulation in the casting process[J].Journal of Shandong University of Technology,2007,37(1):99-106. |
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| Authors: | LU Tong-chao GE Liang |
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| Affiliation: | School of Mathematics and System Science, Shandong University, Jinan 250100, China |
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| Abstract: | A computational model on the melt flow simulation in the casting process includes the continuous equation and partial differential equations of the momentum equation. The momentum equation is divided into two parts by the fractional step method. The method of characteristics is used to solve the first equation. The second equation combined with the continuous equation is changed into the possion equation about pressure. The equation is solved by the iterative method, and the convergence and the stabilization conditions of the equation is analyszed. |
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| Keywords: | fractional step method method of characteristics convergence iterative |
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