| 海水入侵数值模拟的特征块中心差分法 |
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| 引用本文： | 王震,谢树森.海水入侵数值模拟的特征块中心差分法[J].应用数学学报,2006,29(4):633-645. |
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| 作者姓名： | 王震 谢树森 |
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| 作者单位： | 1. 中国海洋大学数学系,青岛,266071;山东科技大学信息学院,青岛,266510
2. 中国海洋大学数学系,青岛,266071 |
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| 摘 要： | 本文研究二维海水入侵数值模拟的有限差分法．对关于压力的流动方程本文采用块中心差分法,对关于含盐浓度方程的对流扩散方程采用基于完全二次矩形插值的特征差分法,运用先验估计的理论和技巧得到了最佳阶L~2误差估计的结果．
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| 关 键 词： | 海水入侵 块中心差分法 特征差分法 收敛性 |
| 收稿时间： | 2004-04-31 |
| 修稿时间： | 2004-04-312005-11-08 |
A Block-centered Finite Difference Method Combined with Characteristic for the Numerical Simulation of Sea Water Intrusion Models |
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| WANG ZHEN,XIE SHUSEN.A Block-centered Finite Difference Method Combined with Characteristic for the Numerical Simulation of Sea Water Intrusion Models[J].Acta Mathematicae Applicatae Sinica,2006,29(4):633-645. |
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| Authors: | WANG ZHEN XIE SHUSEN |
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| Institution: | 1.Department of Mathematics, Ocean University of China, Qingdao 266071;2.Department of Information, Shandong University of Science and Technology, Qingdao 266510 |
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| Abstract: | This paper consider the numerical simulation method for two-dimentional sea water intrusion models.This approach is a combination of block-centered finite difference and characteristic finite difference method:the block-centered finite difference scheme is applied to approximate the pressure equations,while the characteristic difference scheme based on fully quadratic rectangular interpolation is applied to approximate the saltwa- ter concentration equations.By using of the priori estimation theory and techniques,the optimal order estimates in L~2-norm are derived for the error in the approximate solutions. |
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| Keywords: | sea weater intrusion models block-centered finite difference method characteristic difference method convergence |
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