Relative ESBGK targets from Grad-13 VHS production rates give correct species velocity, temperature, and pressure-tensor relaxation plus mixture Prandtl number with one term per species; an empirical harmonic-mean frequency matches DSMC best.
Brull, An ellipsoidal statistical model for gas mixt ures, Communications in Mathematical Sciences 13 (1) (2015) 1–13
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A new semi-Lagrangian scheme for the polyatomic ESBGK model that is asymptotic preserving, stiffly accurate, and converges to Navier-Stokes with correct coefficients in the continuum limit.
The UGKWP method decomposes gas distribution functions into hydrodynamic waves and particles for binary-species mixtures, recovers correct transport coefficients via Groppi and Shakhov models, and matches DSMC results in hypersonic tests.
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A Multispecies ESBGK Model for Gas Mixtures with Variable Hard Sphere Transport: Theory and Verification
Relative ESBGK targets from Grad-13 VHS production rates give correct species velocity, temperature, and pressure-tensor relaxation plus mixture Prandtl number with one term per species; an empirical harmonic-mean frequency matches DSMC best.
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A unified gas-kinetic wave-particle method for multiscale binary-species gas mixtures
The UGKWP method decomposes gas distribution functions into hydrodynamic waves and particles for binary-species mixtures, recovers correct transport coefficients via Groppi and Shakhov models, and matches DSMC results in hypersonic tests.