提出一种基于MOF(Moment-of-Fluid)界面重构的多物质ALE(Arbitrary Lagrangian-Eulerian)方法.流体力学方程组采用相容有限元方法进行空间离散.提出一种新的二维子网格力学模型,用来计算混合网格中的物理量经过一个拉氏步后发生的变化,混合网格内的界面重构采用MOF方法.提出一种精确积分守恒重映方法.给出数值算例,如空气和水的Riemann问题,Dukowicz问题,水中强激波与空气泡相互作用问题等.结果表明,方法具有较高的精度,能够处理物质界面和网格的大变形问题.
A multi-material arbitrary Lagrangian-Eulerian method is developed.Fluid equations are discretized by a compatible finite element method.A two-dimensional closure model for multi-material cells is presented.It is based on approximate Riemann solver HLLC and isentropic assumption.Interface in mixed cells is constructed by MOF methods.An accurate,conservative integration remapping method is used as mesh is rezoned.Example calculations are presented to show accuracy and robustness of the method.