Development of an Improved Gas-Kinetic BGK Scheme for Inviscid and Viscous Flows

Chae, Dongsuk; Kim, Chongam; Rho, Oh-Hyun

doi:10.1006/jcph.1999.6400

Cited by 60 publications

(50 citation statements)

References 25 publications

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“…However, because of many moments calculations the computational time of the current scheme for a typical two-dimensional flow problem is about 30% greater than that required for Roe's flux difference splitting scheme with the inclusion of viscous flux. 20 As can be judged from previous studies, the superior robustness and accuracy of the BGK scheme contribute to offset the burden of extra computational costs. Actually, for real engineering code the time spent on flux evaluation takes only a small amount of time in comparison with other computation, such as mesh generation.…”

Section: Gas-kinetic Methodsmentioning

confidence: 98%

Application of Gas-Kinetic Scheme with Kinetic Boundary Conditions in Hypersonic Flow

2005

AIAA Journal

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This work focuses on the application of the gas-kinetic scheme based on the Bhatnagar-Gross-Krook particle collision model in the hypersonic flow simulations. Kinetic boundary conditions with different accommodation coefficients are constructed and implemented in the scheme. The numerical study is based on a laminar shock-wave/boundary-layer interaction in a Mach 10 flow passing through a hollow cylinder flare model. The grid-independent numerical results agree well with experimental measurements. The utilization of the kinetic slip boundary condition is necessary to improve the agreement between the current results, experimental measurements, as well as direct simulation Monte Carlo solutions. The effect of the variation of the accommodation coefficient on the flow solutions is quantitatively evaluated.

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Section: Gas-kinetic Methodsmentioning

confidence: 98%

Application of Gas-Kinetic Scheme with Kinetic Boundary Conditions in Hypersonic Flow

2005

AIAA Journal

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“…Lattice Boltzmann Flux Solver (LBFS) is developed from Boltzmann equation-based method, including DVBE [9][10][11] (discrete velocity Boltzmann equation) and gas-kinetic schemes [12][13][14][15]. Gaskinetic schemes are more effective than DVBE.…”

Section: Introductionmentioning

confidence: 99%

Development of lattice Boltzmann flux solver for simulation of hypersonic flow past flight vehicles

Meng

Yang

Chen

et al. 2018

J. Phys.: Conf. Ser.

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“…In the 1990s, applying the asymptotic expansion of the molecular velocity distribution function to the Maxwellian distribution based on the ux conservation at the cell interface, new BGK type schemes [10][11][12] adapted to the gas ows of continuum regime have been presented according to the thoughts of the shock capturing di erence method. The schemes have successfully simulated some problems, such as one-dimensional shock wave structures and two-dimensional shock wave re ections, inviscid and viscous turbulent ows, etc.…”

Section: Introductionmentioning

confidence: 99%

Numerical investigation from rarefied flow to continuum by solving the Boltzmann model equation

Zhang

2003

Numerical Methods in Fluids

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SUMMARYBased on the Bhatnagar-Gross-Krook (BGK) Boltzmann model equation, the uniÿed simpliÿed velocity distribution function equation adapted to various ow regimes can be presented. The reduced velocity distribution functions and the discrete velocity ordinate method are developed and applied to remove the velocity space dependency of the distribution function, and then the distribution function equations will be cast into hyperbolic conservation laws form with non-linear source terms. Based on the unsteady time-splitting technique and the non-oscillatory, containing no free parameters, and dissipative (NND) ÿnite-di erence method, the gas kinetic ÿnite-di erence second-order scheme is constructed for the computation of the discrete velocity distribution functions. The discrete velocity numerical quadrature methods are developed to evaluate the macroscopic ow parameters at each point in the physical space. As a result, a uniÿed simpliÿed gas kinetic algorithm for the gas dynamical problems from various ow regimes is developed. To test the reliability of the present numerical method, the one-dimensional shocktube problems and the ows past two-dimensional circular cylinder with various Knudsen numbers are simulated. The computations of the related ows indicate that both high resolution of the ow ÿelds and good qualitative agreement with the theoretical, DSMC and experimental results can be obtained.

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Development of an Improved Gas-Kinetic BGK Scheme for Inviscid and Viscous Flows

Cited by 60 publications

References 25 publications

Application of Gas-Kinetic Scheme with Kinetic Boundary Conditions in Hypersonic Flow

Application of Gas-Kinetic Scheme with Kinetic Boundary Conditions in Hypersonic Flow

Development of lattice Boltzmann flux solver for simulation of hypersonic flow past flight vehicles

Numerical investigation from rarefied flow to continuum by solving the Boltzmann model equation

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