# MFC: An open-source high-order multi-component, multi-phase, and multi-scale compressible flow solver

## TL;DR

MFC is an open-source, high-order, multi-component, multi-phase, and multi-scale compressible flow solver capable of simulating complex unsteady flows with shocks, validated against experiments and demonstrating high accuracy and flexibility.

## Contribution

The paper introduces a flexible, modular high-order numerical framework for multi-component, multi-phase compressible flows, with validated models and methods for complex flow phenomena.

## Key findings

- Validated against experimental shock-bubble and shock-droplet interactions.
- Proven to be free of spurious oscillations in material-interface advection.
- Demonstrated high-order accuracy with smooth solutions.

## Abstract

MFC is an open-source tool for solving multi-component, multi-phase, and bubbly compressible flows. It is capable of efficiently solving a wide range of flows, including droplet atomization, shock-bubble interaction, and gas bubble cavitation. We present the 5- and 6-equation thermodynamically-consistent diffuse-interface models we use to handle such flows, which are coupled to high-order interface-capturing methods, HLL-type Riemann solvers, and TVD time-integration schemes that are capable of simulating unsteady flows with strong shocks. The numerical methods are implemented in a flexible, modular framework that is amenable to future development. The methods we employ are validated via comparisons to experimental results for shock-bubble, shock-droplet, and shock-water-cylinder interaction problems and verified to be free of spurious oscillations for material-interface advection and gas-liquid Riemann problems. For smooth solutions, such as the advection of an isentropic vortex, the methods are verified to be high-order accurate. Illustrative examples involving shock-bubble-vessel-wall and acoustic-bubble-net interactions are used to demonstrate the full capabilities of MFC.