一维多介质流动问题的守恒型界面处理方法

Conservative Interface Treating Method Based on Level-Set Tracking

开展了一维多介质流动问题的界面处理方法研究。通过求解level-set方程来跟踪界面的位置,移动界面附近网格保持界面与网格边界重合,在界面处构造和求解守恒型Riemann问题得到界面处流体的准确流动状态,并以此来计算界面处的数值通量,得到了一个新的守恒型界面处理方法。数值试验表明该方法能准确地捕捉界面和间断的位置。

A conservative interface treating method is presented for the one-dimensional multi-medium problem. By solving the level set equation to track the interface, the cell boundary be can moved, which is nearest to the interface, companioned with the moveing of the interface. Then a new conservative interface method is given by defining the interface numerical fluxes with the exact fluid states that obtained by constructing and solving the conservative Riemann problem at the interface. The numerical tests show that this method can capture the interface and discontinuities correctly.