针对多介质可压缩流体动力学问题,提出了一种单元中心型二维MMALE(Multi-Material Arbitrary Lagrangian-Eulerian)方法。在拉氏步,流体力学方程组采用中心型间断有限元方法求解。对于混合网格,采用Tipton压力松弛模型更新物理量,用等参坐标法更新物质中心点坐标。界面重构采用一种健壮的MOF(Moment of Fluid)方法。在重映步提出了基于多边形相交的二阶积分守恒重映方法。该方法分为四个部分:多项式重构、多边形相交、积分和后验校正。多边形相交使用"剪裁投影"算法,显著降低了多边形相交算法的复杂度。后验校正是基于MOOD (Multi-dimensional Optimal Order Detection)限制策略,并做了一些改动以适应多介质的计算。数值算例表明,该方法具有二阶的精度和较好的鲁棒性。
In this paper we prove that the solutions of the finite element method for a classof parabolic equations converge to the solutions of the finite element method for aclass of elliptic equations as t→∞, this makes it ...
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In this paper we prove that the solutions of the finite element method for a classof parabolic equations converge to the solutions of the finite element method for aclass of elliptic equations as t→∞, this makes it available to get the numericalsolutions of elliptic equations by the difference schemes with intrinsic parallelismwhich initiated by professor Zhou Yulin.
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