Application of a Higher Order Lattice Boltzmann/ Hybrid Method for Simulation of Compressible Viscous Flows with Curved Boundary

A lattice Boltzmann model on Hermite basis for compressible viscous flows is presented in this paper. The model is developed in the framework of double-distribution-function approach, which has adjustable specific-heat ratio and Prandtl number. It contains a density distribution function for the flow field and a total energy distribution function for the temperature field. The equilibrium distribution function is determined by Hermite expansion, and the D3Q27 and D3Q39 three-dimensional (3D) discrete velocity models are used, in which the discrete velocity model can be replaced easily. Moreover, an artificial viscosity is introduced to enhance the model for capturing shock waves. The model is tested through several cases of compressible flows, including 3D supersonic viscous flows with boundary layer. The effect of artificial viscosity is estimated. Besides, D3Q27 and D3Q39 models are further compared in the present platform.

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A new high resolution scheme for compressible viscous flows with shocks

10.2514/6.1995-466 ◽

1995 ◽

Cited By ~ 18

Author(s):

S Tatsumi ◽

L Martinelli ◽

A Jameson

Keyword(s):

High Resolution ◽

Viscous Flows ◽

Compressible Viscous Flows ◽

Resolution Scheme

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A novel wavelet based hybrid method for finding the solutions of higher order boundary value problems

Ain Shams Engineering Journal ◽

10.1016/j.asej.2017.12.006 ◽

2018 ◽

Vol 9 (4) ◽

pp. 3015-3031 ◽

Cited By ~ 1

Author(s):

Geeta Arora ◽

Ratesh Kumar ◽

Harpreet Kaur

Keyword(s):

Boundary Value Problems ◽

Hybrid Method ◽

Boundary Value ◽

Higher Order

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Simulation of Hypersonic Viscous Flow Past a 2D Circular Cylinder Using Lattice Boltzmann Method

ASME 2010 3rd Joint US-European Fluids Engineering Summer Meeting: Volume 1, Symposia – Parts A, B, and C ◽

10.1115/fedsm-icnmm2010-30482 ◽

2010 ◽

Author(s):

R. Kamali ◽

A. H. Tabatabaee Frad

Keyword(s):

Circular Cylinder ◽

Lattice Boltzmann Method ◽

Lattice Boltzmann ◽

High Speed ◽

Fluid Flows ◽

Boltzmann Distribution ◽

Equilibrium Distribution Function ◽

Complex Flows ◽

Compressible Viscous Flows ◽

Boltzmann Method

It is known that the Lattice Boltzmann Method is not very effective when it is being used for the high speed compressible viscous flows; especially complex fluid flows around bodies. Different reasons have been reported for this unsuccessfulness; Lacking in required isotropy in the employed lattices and the restriction of having low Mach number in Taylor expansion of the Maxwell Boltzmann distribution as the equilibrium distribution function, might be mentioned as the most important ones. In present study, a new numerical method based on Li et al. scheme is introduced which enables the Lattice BoltzmannMethod to stably simulate the complex flows around a 2D circular cylinder. Furthermore, more stable implementation of boundary conditions in Lattice Boltzmann method is discussed.

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