The paper proves convexity of the admissible set for the four-equation model, introduces a robust solver for pressure-temperature equilibrium with arbitrary materials, and proves existence and uniqueness of the equilibrium solution under thermodynamic assumptions.
Approximation technique for preserving the minimum principle on the entropy for the compressible Euler equations.arXiv preprint arXiv:2503.10612, 2025
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Analysis, thermodynamics, and a numeric solver for a pressure-temperature equilibrium closure of the four-equation model
The paper proves convexity of the admissible set for the four-equation model, introduces a robust solver for pressure-temperature equilibrium with arbitrary materials, and proves existence and uniqueness of the equilibrium solution under thermodynamic assumptions.