渗流计算中求解浸润线的自由面适应网格方法
A Method of Water Free Surface Adapting Grid System to Simulate Phreatic Surface in Seepage Flow
作者：李连侠(四川大学 水力学及山区河流开发保护国家重点实验室,四川 成都 610065)；廖华胜(四川大学 水力学及山区河流开发保护国家重点实验室,四川 成都 610065)；刘达(四川大学 水力学及山区河流开发保护国家重点实验室,四川 成都 610065)
Author：(State Key Lab. of Hydraulics and Mountain River Eng.,Sichuan Univ., Chengdu 610065,China)；(State Key Lab. of Hydraulics and Mountain River Eng.,Sichuan Univ., Chengdu 610065,China)；(State Key Lab. of Hydraulics and Mountain River Eng.,Sichuan Univ., Chengdu 610065,China)
收稿日期：2005-11-24 年卷（期）页码：2006,38(5):76-81
期刊名称：工程科学与技术
Journal Name：Advanced Engineering Sciences
关键字：渗流；浸润线；网格映射
Key words：seepage flow; phreatic surface; grid mapping
基金项目：2005-11-24基金项目：教育部“回国留学人员科研启动基金”资助项目；教育部“跨世纪优秀人才培养计划”资助项目
中文摘要
渗流计算中的浸润线计算属于自由面求解问题，传统的求解自由面方法，多为改变网格去适应自由面在迭代过程中的变化。提出了自由面适应网格方法，该方法与传统方法相反，即在迭代求解过程中不改变网格而是让浸润线不断地去适应网格，采用网格映射的方法去确定浸润线，直至最后达到允许精度，得到要求的浸润线分布。结果表明，该方法具有计算简单，编程方便，精度较高等优点。采用本方法时，如果采用加密网格或者高阶映射的方法则可以进一步提高求解精度。
英文摘要
Determination of the location of phreatic surface in seepage flow can be categorized as solving the problem on free surface. Most of the traditional methods used to determinate the free surface profile are based on modifying or changing the grid system to adapt the changing water surface during the iteration process. The method of free surface adapting grid system presented in this paper doesn't need to modify or change the grid system, whereas it maps free surface to grid nodes to determinate the final phreatic surface in certain precision. This method has such advantages as: easy to apply, convenient to programme, good precision,etc.. The precision of this method can be further improved, if dense mesh system or higher order mapping method is adopted.
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