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Physics-informed neural networks for solving forward and inverse flow problems via the Boltzmann-BGK formulation

Journal of computational physics, 2021-12, Vol.447 (C), p.110676, Article 110676

2021

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A collision-based hybrid method for the BGK equation

Journal of computational physics, 2024-03, Vol.501 (C), p.112784, Article 112784

2024

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A meshfree arbitrary Lagrangian-Eulerian method for the BGK model of the Boltzmann equation with moving boundaries

Journal of computational physics, 2022-06, Vol.458, p.111088, Article 111088

2022

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Unintegrated gluon distributions from the color dipole cross section in the BGK saturation model

Physics letters. B, 2022-12, Vol.835, p.137582, Article 137582

2022

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Numerical schemes for a multi-species BGK model with velocity-dependent collision frequency

Journal of computational physics, 2023-01, Vol.473, p.111729, Article 111729

2023

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A φ-divergence based finite element moment method for the polyatomic ES-BGK Boltzmann equation

Journal of computational physics, 2024-04, Vol.503, p.112813, Article 112813

2024

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A positivity-preserving and conservative high-order flux reconstruction method for the polyatomic Boltzmann–BGK equation

Journal of computational physics, 2023-08, Vol.486, p.112146, Article 112146

2023

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Tensor methods for the Boltzmann-BGK equation

Journal of computational physics, 2020-11, Vol.421, p.109744, Article 109744

2020

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A local velocity grid conservative semi-Lagrangian schemes for BGK model

Journal of computational physics, 2022-07, Vol.460, p.111178, Article 111178

2022

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Global existence of weak solutions to a BGK model relaxing to the barotropic Euler equations

Nonlinear analysis, 2024-01, Vol.238, p.113414, Article 113414

2024

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ASYMPTOTIC-PRESERVING AND POSITIVITY-PRESERVING IMPLICIT-EXPLICIT SCHEMES FOR THE STIFF BGK EQUATION

SIAM journal on numerical analysis, 2018-01, Vol.56 (2), p.942-973

2018

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High order central WENO-Implicit-Explicit Runge Kutta schemes for the BGK model on general polygonal meshes

Journal of computational physics, 2020-12, Vol.422, p.109766, Article 109766

2020

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From BGK-alignment model to the pressured Euler-alignment system with singular communication weights

Journal of Differential Equations, 2024-01, Vol.379, p.363-412

2024

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Multilevel asymptotic-preserving Monte Carlo for kinetic-diffusive particle simulations of the Boltzmann-BGK equation

Journal of computational physics, 2022-02, Vol.450, p.110736, Article 110736

2022

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Numerical schemes for a multi-species BGK model with velocity-dependent collision frequency

Journal of computational physics, 2022-11, Vol.473 (NA)

2022

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Numerical schemes for a multi-species BGK model with velocity-dependent collision frequency

Journal of computational physics, 2022-11, Vol.473

2022

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An Efficient Dynamical Low-Rank Algorithm for the Boltzmann-BGK Equation Close to the Compressible Viscous Flow Regime

SIAM journal on scientific computing, 2021-01, Vol.43 (5), p.B1057-B1080

2021

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A new gas kinetic BGK scheme based on the characteristic solution of the BGK model equation for viscous flows

Computers & mathematics with applications (1987), 2023-09, Vol.146, p.225-240

2023

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An improved gas kinetic BGK scheme for finite volume lattice Boltzmann method for nearly incompressible flows

Computers & fluids, 2023-04, Vol.255, p.105822, Article 105822

2023

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A BGK model for high temperature rarefied gas flows

European journal of mechanics, B, Fluids, 2020-03, Vol.80, p.1-12

2020

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A coupled gas-kinetic BGK scheme for the finite volume lattice Boltzmann method for nearly incompressible thermal flows

International journal of heat and mass transfer, 2021-01, Vol.164, p.120584, Article 120584

2021

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The ES-BGK for the Polyatomic Molecules with Infinite Energy

Journal of statistical physics, 2023-07, Vol.190 (8), Article 129

2023

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Entropy production estimate for the ES-BGK model with the correct Prandtl number

Journal of mathematical analysis and applications, 2022-10, Vol.514 (2), p.126323, Article 126323

2022

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BGK and Fokker-Planck Models of the Boltzmann Equation for Gases with Discrete Levels of Vibrational Energy

Journal of statistical physics, 2020-03, Vol.178 (5), p.1076-1095

2020

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A BGK model for mixtures of monoatomic and polyatomic gases with discrete internal energy

Physica A, 2020-06, Vol.547, p.124441, Article 124441

2020

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Physics-informed neural networks for solving forward and inverse flow problems via the Boltzmann-BGK formulation

A collision-based hybrid method for the BGK equation

A meshfree arbitrary Lagrangian-Eulerian method for the BGK model of the Boltzmann equation with moving boundaries

Unintegrated gluon distributions from the color dipole cross section in the BGK saturation model

Numerical schemes for a multi-species BGK model with velocity-dependent collision frequency

A φ-divergence based finite element moment method for the polyatomic ES-BGK Boltzmann equation

A positivity-preserving and conservative high-order flux reconstruction method for the polyatomic Boltzmann–BGK equation

Tensor methods for the Boltzmann-BGK equation

A local velocity grid conservative semi-Lagrangian schemes for BGK model

Global existence of weak solutions to a BGK model relaxing to the barotropic Euler equations

ASYMPTOTIC-PRESERVING AND POSITIVITY-PRESERVING IMPLICIT-EXPLICIT SCHEMES FOR THE STIFF BGK EQUATION

High order central WENO-Implicit-Explicit Runge Kutta schemes for the BGK model on general polygonal meshes

From BGK-alignment model to the pressured Euler-alignment system with singular communication weights

Multilevel asymptotic-preserving Monte Carlo for kinetic-diffusive particle simulations of the Boltzmann-BGK equation

Numerical schemes for a multi-species BGK model with velocity-dependent collision frequency

Numerical schemes for a multi-species BGK model with velocity-dependent collision frequency

An Efficient Dynamical Low-Rank Algorithm for the Boltzmann-BGK Equation Close to the Compressible Viscous Flow Regime

A new gas kinetic BGK scheme based on the characteristic solution of the BGK model equation for viscous flows

An improved gas kinetic BGK scheme for finite volume lattice Boltzmann method for nearly incompressible flows

A BGK model for high temperature rarefied gas flows

A coupled gas-kinetic BGK scheme for the finite volume lattice Boltzmann method for nearly incompressible thermal flows

The ES-BGK for the Polyatomic Molecules with Infinite Energy

Entropy production estimate for the ES-BGK model with the correct Prandtl number

BGK and Fokker-Planck Models of the Boltzmann Equation for Gases with Discrete Levels of Vibrational Energy

A BGK model for mixtures of monoatomic and polyatomic gases with discrete internal energy

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