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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5 Pith papers cite this work, alongside 635 external citations. Polarity classification is still indexing.
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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.
A hybrid GKS-DVM scheme recovers Navier-Stokes solutions in continuum limits while capturing free-molecular flows in rarefied limits via a numerical collision time and adaptive Kn/Ma strategies.
A second-order UGKWP method is presented that achieves enhanced mesh independence for hypersonic cylinder and cone flows, outperforming DSMC on mesh-sensitive quantities like shear stress and heat flux.
GKS with kinetic boundary conditions produces aerodynamic predictions for near-continuum hypersonic flows that match experiments and DSMC data more closely than Navier-Stokes solvers using Maxwell slip conditions.
citing papers explorer
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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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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.
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A Hybrid Gas-Kinetic Scheme and Discrete Velocity Method for Continuum and Rarefied Flows
A hybrid GKS-DVM scheme recovers Navier-Stokes solutions in continuum limits while capturing free-molecular flows in rarefied limits via a numerical collision time and adaptive Kn/Ma strategies.
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A second-order unified gas-kinetic wave-particle method with enhanced mesh independence for hypersonic flows
A second-order UGKWP method is presented that achieves enhanced mesh independence for hypersonic cylinder and cone flows, outperforming DSMC on mesh-sensitive quantities like shear stress and heat flux.
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On the Applicability of the Gas-Kinetic Scheme with Kinetic Boundary Conditions for Near-Continuum Hypersonic Flows
GKS with kinetic boundary conditions produces aerodynamic predictions for near-continuum hypersonic flows that match experiments and DSMC data more closely than Navier-Stokes solvers using Maxwell slip conditions.