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October 20, 2025Open Access

Generalized UGK scheme in the diffusive

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This work applies the UGK scheme to kinetic models with non isotropic scattering, showing effectiveness in both diffusive and transport regimes.

The UGK scheme effectively addresses multiscale problems in rarefied gas dynamics and radiative transfer.
Numerical experiments show the scheme's consistent asymptotic preserving property in diffusive and free transport limits.
This method expands its application to models with non isotropic scattering collision operators.
Extending to Fokker-Planck models allows handling situations with optically thick limits and small Knudsen numbers.

Mathiaud et al. (2025) studied this question.

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This work applies the UGK scheme to kinetic models with non isotropic scattering, showing effectiveness in both diffusive and transport regimes.