2405 Lattice Boltzmann Method for Compressible Flows with Arbitary Specific Heat Ratio

2007 ◽  
Vol 2007.20 (0) ◽  
pp. 639-640
Author(s):  
Takeshi SETA
Keyword(s):  
Specific Heat ◽  
Lattice Boltzmann Method ◽  
Lattice Boltzmann ◽  
Compressible Flows ◽  
Specific Heat Ratio ◽  
Boltzmann Method

scholarly journals Semi-Lagrangian lattice Boltzmann method for compressible flows

2020 ◽  
Vol 101 (5) ◽  
Author(s):  
Dominik Wilde ◽  
Andreas Krämer ◽  
Dirk Reith ◽  
Holger Foysi
Keyword(s):  
Lattice Boltzmann Method ◽  
Lattice Boltzmann ◽  
Compressible Flows ◽  
Boltzmann Method

Compressible Fluid Flow Simulation Using Finite Difference Lattice Boltzmann Method

2010 ◽  
Author(s):  
Vahid Abdollahi ◽  
Amir Nejat
Keyword(s):  
Finite Difference ◽  
Lattice Boltzmann Method ◽  
Lattice Boltzmann ◽  
Compressible Flows ◽  
Contact Discontinuity ◽  
Flow Simulation ◽  
Viscous Flows ◽  
Pressure Shock ◽  
Boltzmann Method ◽  
Stationary Contact

A finite difference lattice Boltzmann method (FDLBM) is employed to simulate the compressible inviscid/viscous flows. The robustness of the employed approach is tested for the shock tube or Riemann problem in some distinct cases including strong pressure shock, the stationary contact discontinuity and the weak acoustic wave. The Results are compared with the exact solutions, as well as other classical finite volume CFD techniques (Steger-Warming, Roe and AUSM flux). The validity of the employed LBM approach is studied. This research reveals some of the challenges involved in simulating the compressible flows using FDLBM.

A Central Difference Finite Volume Lattice Boltzmann Method for Simulation of 2D Inviscid Compressible Flows on Triangular Meshes

2018 ◽  
Author(s):  
Alireza Karbalaei ◽  
Kazem Hejranfar
Keyword(s):  
Boltzmann Equation ◽  
Lattice Boltzmann Method ◽  
Finite Volume ◽  
Lattice Boltzmann ◽  
Compressible Flows ◽  
Lattice Boltzmann Equation ◽  
Triangular Meshes ◽  
Central Difference ◽  
Inviscid Compressible Flows ◽  
Boltzmann Method

In this work, a central difference finite volume lattice Boltzmann method (CDFV-LBM) is developed to compute 2D inviscid compressible flows on triangular meshes. The numerical solution procedure adopted here for solving the lattice Boltzmann equation is nearly the same as the procedure used by Jameson et al. for the solution of the Euler equations. The integral form of the lattice Boltzmann equation using the Gauss divergence theorem is applied on a triangular cell and the numerical fluxes on each edge of the cell are set to the average of their values at the two adjacent cells. Appropriate numerical dissipation terms are added to the discretized lattice Boltzmann equation to have a stable solution. The Boltzmann equation is discretized in time using the fourth-order Runge-Kutta scheme. The computations are performed for three problems, namely, the isentropic vortex and the supersonic flow around a NACA0012 airfoil and over a circular-arc bump. The effect of changing the grid resolution and the dissipation coefficients on the accuracy of the results is also studied. Results obtained by applying the CDFV-LBM are compared with the available numerical results which show good agreement.

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