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

Area of Science:

• Computational fluid dynamics
• Multiphase flow simulation
• Compressible flow modeling

Background:

• Accurate simulation of multiphase flows with interfaces is crucial for various engineering applications.
• Existing tools often struggle with complex phenomena like shock-induced instabilities and bubble dynamics.
• Development of robust and efficient numerical methods is essential for advancing multiphase flow research.

Purpose of the Study:

• Introduce MFC, an open-source computational fluid dynamics tool.
• Present thermodynamically consistent diffuse-interface models for multiphase flows.
• Validate the numerical methods for accuracy and efficiency in simulating complex flow phenomena.

Main Methods:

• Utilized 5- and 6-equation thermodynamically-consistent diffuse-interface models.
• Coupled models with high-order interface-capturing methods and HLL-type Riemann solvers.
• Employed TVD time-integration schemes for unsteady flow and strong shock simulation.
• Implemented methods within a flexible, modular framework for future development.

Main Results:

• Validated MFC against experimental data for shock-bubble, shock-droplet, and shock-water-cylinder interactions.
• Verified numerical methods for absence of spurious oscillations in interface advection and Riemann problems.
• Confirmed high-order accuracy for smooth solutions, such as isentropic vortex advection.
• Demonstrated MFC's capabilities through illustrative examples of shock-bubble-vessel-wall and acoustic-bubble-net interactions.

Conclusions:

• MFC provides a validated and efficient open-source tool for simulating complex multiphase compressible flows.
• The employed numerical methods are robust, accurate, and capable of handling unsteady flows with strong shocks.
• MFC is well-suited for a wide range of applications, including droplet atomization, bubble dynamics, and shock-induced phenomena.