A conservative sharp-interface method for compressible multi-material flows
Abstract
In this paper we develop a conservative sharp-interface method dedicated to simulating multiple compressible fluids. Numerical treatments for a cut cell shared by more than two materials are proposed. First, we simplify the interface interaction inside such a cell with a reduced model to avoid explicit interface reconstruction and complex flux calculation. Second, conservation is strictly preserved by an efficient conservation correction procedure for the cut cell. To improve the robustness, a multi-material scale separation model is developed to consistently remove non-resolved interface scales. In addition, the multi-resolution method and local time-stepping scheme are incorporated into the proposed multi-material method to speed up the high-resolution simulations. Various numerical test cases, including the multi-material shock tube problem, inertial confinement fusion implosion, triple-point shock interaction and shock interaction with multi-material bubbles, show that the method is suitable for a wide range of complex compressible multi-material flows.
Cite
@article{arxiv.1704.00519,
title = {A conservative sharp-interface method for compressible multi-material flows},
author = {Shucheng Pan and Luhui Han and Xiangyu Hu and Nikolaus. A. Adams},
journal= {arXiv preprint arXiv:1704.00519},
year = {2019}
}