PINN study of BGK shocks identifies anisotropic tail-weighted observability failure in fourth-order closure R_xx^cl and shows a shock-local correction reduces its relative error to 0.112 using DVM validation.
Discrete velocity model and implicit scheme for the BGK equation of rarefied gas dynamics
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physics.flu-dyn 2years
2026 2verdicts
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Implementation of extended variance-reduced BGK in PICLas with Shakhov/ES models, adaptive equilibria, variable weights and axisymmetry, validated on benchmarks and thermal transpiration.
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Tail observability and fourth-order closure recovery in physics-informed neural networks for Bhatnagar-Gross-Krook normal shocks
PINN study of BGK shocks identifies anisotropic tail-weighted observability failure in fourth-order closure R_xx^cl and shows a shock-local correction reduces its relative error to 0.112 using DVM validation.
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Implementation and Extension of the Variance-Reduced BGK Method in PICLas
Implementation of extended variance-reduced BGK in PICLas with Shakhov/ES models, adaptive equilibria, variable weights and axisymmetry, validated on benchmarks and thermal transpiration.