An improved continuity-preserving interface reconstruction method for multi-material flow

The dynamic programming interface reconstruction (DPIR) method introduced by Dumas et al.[1] is a volume-preserving and continuous method. It two-step method, which comprises of an optimized step correction step. At first, in the step, it minimizes target function to obtain interface. Then, corrects each mixed cell preserve conservative volume fraction. However, only difference fraction considered, normal neglected function. These make easy different optimal results hence resulting interfaces always suffer from oscillations (i.e., ‘wave effects’ [1]). In this paper, suppress interfaces’ improve its accuracy, we constructed non-dimensional based on moment-of-fluid method’s objective function, also proposed new Finally, several numerical tests are performed show superiority over original one al. [1].