# A conservative sharp-interface method for compressible multi-material flows

## TL;DR

This paper introduces a conservative sharp-interface numerical method for simulating complex compressible multi-material flows, effectively handling multi-material interactions, interface scales, and computational efficiency.

## Contribution

It presents a novel approach that simplifies interface treatment, ensures conservation, and enhances robustness and speed in multi-material flow simulations.

## Key findings

- Successfully simulates multi-material shock tube problems
- Accurately models inertial confinement fusion implosion
- Efficiently handles shock interactions with multi-material bubbles

## 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.