基于间断有限元模型的给排水干湿分离研究

Study on Dry and Wet Separation of Water Supply and Drainage Based on Discontinuous Finite Element

针对给排水干湿分离难以确定运动交界的问题,该研究将利用离散格式有限元建立浅水方程模式,结合细分化单元内物理量进行线性重构,提出了一种新的给排水干湿分离方法。该方法保证了干湿交界处水体静止状态不被破坏,并且在水体非物理流动条件下的干湿处的过渡区域之间可连续。经过数值实验结果表明,采用间断式的有限元模式能够准确地模拟给排水的水体情形,计算过程中可精确计算间断间运动过程。

In order to solve the problem that the movement boundary is difficult to be determined by the dry and wet separation of water supply and drainage, a new method of water and wet separation is proposed by using discrete finite element method to estab- lish the shallow water equation model and linear reconstruction with the physical quantities in the subdividing unit. The method can ensure that the static state of the water and wet junction is not destroyed, and can be continuous between the transitional areas of the wet and dry place under the non-physical flow condition of the water body. The results of numerical experiments show that the intermittent finite element model can accurately simulate the situation of water supply and drainage, and the process of intermittent motion can be accurately calculated.