BGK and Fokker-Planck Models of the Boltzmann Equation for Gases with Discrete Levels of Vibrational Energy
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- Type
- article
- Published
- 2019-04-04
- Cited by
- 20
- References
- 29
- Access
- Open access
- OpenAlex
- https://openalex.org/W2933903584
- Semantic Scholar
- https://api.semanticscholar.org/CorpusID:102353472
Keywords
Fokker–Planck equation, H-theorem, Boltzmann constant, Statistical physics, Physics
References
- Molecular Gas Dynamics and the Direct Simulation of Gas Flows
- Macroscopic transport equation for rarefied gas flows : approximation methods in kinetic theory
- The Boltzmann equation and its applications
- Hypersonic and High-Temperature Gas Dynamics
- A Fokker–Planck Model of the Boltzmann Equation with Correct Prandtl Number
- The mathematical theory of non-uniform gases
- The Gaussian-BGK model of Boltzmann equation with small Prandtl number
- Numerical methods for kinetic equations*
- Capturing non-equilibrium phenomena in rarefied polyatomic gases: A high-order macroscopic model
- New Statistical Models for Kinetic Theory: Methods of Construction
- A Fokker–Planck based kinetic model for diatomic rarefied gas flows
- Kinetic Model for Gases with Internal Degrees of Freedom
- A Model for Collision Processes in Gases. I. Small Amplitude Processes in Charged and Neutral One-Component Systems
- Kinetic‐Theoretic Description of the Formation of a Shock Wave
- A survey of deterministic solvers for rarefied flows (Invited)
- Generalization of the Krook kinetic relaxation equation
- Nonlinear Rarefied Couette Flow with Heat Transfer
- Fokker–Planck model for computational studies of monatomic rarefied gas flows
- Hypersonic and High-Temperature Gas Dynamics, Third Edition
- Hypersonic and High-Temperature Gas Dynamics – Second edition J.D. Anderson American Institute of Aeronautics and Astronautics, 1801 Alexander Bell Drive, Suite 500, Reston, VA, USA. 20191-4344. 2006. 811pp. Illustrated. 64.95 (AIAA members), 90.95 (non-members). ISBN 1-56347-780-7.
Cited by
- BGK and Fokker Planck Models for thermally perfect gases
- Master equation approach for modeling diatomic gas flows with a kinetic Fokker-Planck algorithm
- An ES-BGK model for vibrational polyatomic gases
- Modeling of nitrogen and oxygen gas mixture with a novel diatomic kinetic model
- On the conservative property of particle-based Fokker–Planck method for rarefied gas flows
- A Note on the Steady Navier–Stokes Equations Derived from an ES–BGK Model for a Polyatomic Gas
- A detailed multiscale study of rotational–translational relaxation process of diatomic molecules
- An ES-BGK model for polyatomic gases in rotational and vibrational nonequilibrium
- A Review on BGK Models for Gas Mixtures of Mono and Polyatomic Molecules
- Mesoscopic Boltzmann model equations for thermally perfect gases
- A multi-degree-of-freedom gas kinetic multi-prediction implicit scheme
- A General Framework for the Kinetic Modelling of Polyatomic Gases
- An ES-BGK model for diatomic gases with correct relaxation rates for internal energies
- A unified stochastic particle method based on the Bhatnagar-Gross-Krook model for polyatomic gases and its combination with DSMC
- Kinetic modelling of rarefied gas flows with radiation
- Multi-degree-of-freedom kinetic model and its applications in simulation of three-dimensional nonequilibrium flows
- A Consistent Kinetic Fokker–Planck Model for Gas Mixtures
- A Consistent Non-Linear Fokker-Planck Model for a Gas Mixture of Polyatomic Molecules
- A kinetic model for rarefied flows of molecular gas with vibrational modes
- Two-Temperature Fluid Models for a Polyatomic Gas Based on Kinetic Theory for Nearly Resonant Collisions
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