Particle simulation of nonequilibrium gas flows based on ellipsoidal statistical Fokker–Planck model

Jiang, Yazhong; Gao, Zhenxun; Lee, Chun‐Hian

doi:10.1016/j.compfluid.2018.04.034

Cited by 14 publications

(10 citation statements)

References 43 publications

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“…An important advantage of the ES-FP model is that it satisfies the H-theorem. Jiang et al [50] demonstrated that the ES-FP model could predict good shock structure of gas flow over a flat plate with Ma = 6. Jun et al [51] performed a comparative study between cubic-FP and ES-FP model for the simulation of gas flows.…”

Section: Particle Fokker-planck Methodsmentioning

confidence: 99%

Particle-based hybrid and multiscale methods for nonequilibrium gas flows

et al. 2019

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Over the past half century, a variety of computational fluid dynamics (CFD) methods and the direct simulation Monte Carlo (DSMC) method have been widely and successfully applied to the simulation of gas flows for the continuum and rarefied regime, respectively. However, they both encounter difficulties when dealing with multiscale gas flows in modern engineering problems, where the whole system is on the macroscopic scale but the nonequilibrium effects play an important role. In this paper, we review two particle-based strategies developed for the simulation of multiscale nonequilibrium gas flows, i.e., DSMC-CFD hybrid methods and multiscale particle methods. The principles, advantages, disadvantages, and applications for each method are described. The latest progress in the modelling of multiscale gas flows including the unified multiscale particle method proposed by the authors is presented.

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Section: Particle Fokker-planck Methodsmentioning

confidence: 99%

Particle-based hybrid and multiscale methods for nonequilibrium gas flows

et al. 2019

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“…Through this assumption, the integration can be done in an exact fashion for the linear drift and ES-FP models, whereas a mixed integration scheme can be obtained for the cubic-FP model. Derivation of time integration schemes for linear-, cubic-and ES-FP models have been presented in [9], [10] and [19], respectively. Therefore here only final results are reviewed.…”

Section: Methodsmentioning

confidence: 99%

“…Since the drift and diffusion coefficients for the ES-FP model are still linear with respect to M, similar to the linear drift model, an exact time integration can be devised (as carried out in [19]). Therefore the exact integration for the velocity reads…”

Section: B Ellipsoidal Fokker-planck Modelmentioning

confidence: 99%

Comparative Study Between Cubic and Ellipsoidal Fokker–Planck Kinetic Models

et al. 2019

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“…For example, Fei and Fan 59 and Fei et al 60 proposed the diffusive information preservation (D-IP) method, and the hybrid FP-DSMC scheme [61][62][63][64][65] has been studied. The FP method has been applied to numerical investigations of high-speed aerodynamics including the supersonic flow over the leading edge of a flat plate, 66 the supersonic flow past a cylinder, 64,67 the nozzle expansion flow, 68 the re-entry aerodynamics of a slender configuration, 69 and the interior structure of normal shock waves. 70 Simulations of microscale rarefied flows were performed with the FP method, including the flows through a slit and an orifice, 71 the thermally induced gas flow in a ratchet microchannel, 72 and the shear-driven flows in microscale gaps and cavities.…”

Section: Introductionmentioning

confidence: 99%

“…This paper focuses on the ES-FP kinetic model, which has been studied in Refs. 30,38,44,66,67,70,72,76, and 77. The numerical implementation of the ES-FP model is based on the previous works of the authors.…”

Section: Introductionmentioning

confidence: 99%

On the conservative property of particle-based Fokker–Planck method for rarefied gas flows

Jiang

Wen

2020

Physics of Fluids

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The Fokker-Planck-type approximation of the full Boltzmann equation has aroused intense research interest due to its potential for the stochastic particle simulation of rarefied gas flows. The ellipsoidal statistical Fokker-Planck (ES-FP) model treats the evolution of molecular velocity as a continuous stochastic process, and it satisfies the basic requirements for a proper gas-kinetic model including the H-theorem and an adjustable Prandtl number. The ES-FP model can be numerically implemented with computational particles in a Monte Carlo manner. Two different particle ES-FP schemes are presented. The first scheme utilizes the exact stochastic integral solution of the Langevin equations corresponding to the ES-FP equation and couples free-molecular moves and intermolecular collisions. The second scheme is designed to enforce the conservation of momentum and energy during the numerical simulation based on the decoupled algorithm and the analysis of the specific conditions for the conservative property. Numerical tests are conducted to demonstrate the performances of different schemes. In the simulation of a homogeneous gas system, the ES-FP scheme without enforcement of conservation leads to unphysical variation in the momentum and loss in energy, whereas the conservative ES-FP scheme strictly maintains the momentum and energy of the system. For the Mach 6 flows over the leading edge of a flat plate and over a round-nosed blunt body, the non-conservative ES-FP scheme underestimates the shock angle and the shock standoff distance, makes inaccurate predictions of aerodynamic force and heating, and produces low-temperature anomalies in front of the shock waves. In comparison with the results given by the direct simulation Monte Carlo method, the results of the conservative ES-FP simulations show satisfactory accuracy for the flow fields as well as the distributions of pressure, friction, and heat flux on the wall surfaces.

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Particle simulation of nonequilibrium gas flows based on ellipsoidal statistical Fokker–Planck model

Cited by 14 publications

References 43 publications

Particle-based hybrid and multiscale methods for nonequilibrium gas flows

Particle-based hybrid and multiscale methods for nonequilibrium gas flows

Comparative Study Between Cubic and Ellipsoidal Fokker–Planck Kinetic Models

On the conservative property of particle-based Fokker–Planck method for rarefied gas flows

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