Citing COMPAS

If you use COMPAS, please cite the papers that describe the methods you used.

  • Two-phase five-equation model with Phase-Field. Z. Huang and E. Johnsen, A consistent and conservative Phase-Field method for compressible multiphase flows with shocks, Journal of Computational Physics 488 (2023) 112195, doi:10.1016/j.jcp.2023.112195.

  • N-phase five-equation model with Phase-Field. Z. Huang and E. Johnsen, A consistent and conservative Phase-Field method for compressible N-phase flows: Consistent limiter and multiphase reduction-consistent formulation, Journal of Computational Physics 501 (2024) 112801, doi:10.1016/j.jcp.2024.112801.

  • Bound preservation. Z. Huang and E. Johnsen, Bound preservation for the consistent and conservative Phase-Field method for compressible single-, two-, and N-phase flows, Journal of Computational Physics 526 (2025) 113783, doi:10.1016/j.jcp.2025.113783.

  • Adaptive mesh refinement. Z. Huang, W. J. White, and E. Johnsen, Consistent and conservative Phase-Field method for compressible two- and N-phase flows with adaptive mesh refinement, Journal of Computational Physics 548 (2026) 114569, doi:10.1016/j.jcp.2025.114569.

  • Consistent and bound-preserving WENO. Z. Huang, Consistent and bound-preserving finite-volume WENO scheme for compressible two-/N-phase flows with Phase-Field mechanism, arXiv:2608.00746 (2026), doi:10.48550/arXiv.2608.00746.

  • Six-equation model with Phase-Field. Z. Huang, A consistent and conservative Phase-Field method for compressible multiphase flows with the six-equation model, arXiv:2609.18085 (2026), doi:10.48550/arXiv.2609.18085.

The software

CITATION.cff, at the root of the repository, describes COMPAS for citation tools and GitHub’s “Cite this repository” button. It lists the software as

W. J. White, Z. Huang, B. Fonkwa and E. Johnsen, COMPAS: COmpressible Multiphase multiPhysics Adaptive Solver, https://github.com/scfpl-umich/COMPAS, GPL-3.0-or-later.

Its preferred citation is the COMPAS paper, which is in preparation for Computer Physics Communications:

W. J. White, Z. Huang and E. Johnsen, COMPAS: A GPU-accelerated, adaptive-mesh finite volume framework for consistent and conservative Phase-Field modeling of compressible, N-material, interfacial flows, Computer Physics Communications, in preparation.

Until then, COMPAS and its verification and validation can also be cited from the PhD dissertation below, one chapter of which presents them and is the basis of the paper:

W. J. White, Discontinuous Galerkin Methods and Phase-Field Models for Numerical Simulations of Compressible Interfacial Flows with Shocks and Vorticity, PhD dissertation, University of Michigan, 2025, doi:10.7302/28171.

Citing these papers is requested but is not a condition of the license.

Acknowledgments

This work was supported in part by Los Alamos National Laboratory under the project “Algorithm/Software/Hardware Co-design for High Energy Density applications” at the University of Michigan.