Simulations of Compressible Flows with Strong Shocks by an Adaptive Lattice Boltzmann Model

2000 ◽  
Vol 161 (1) ◽  
pp. 70-84 ◽  
Author(s):  
Chenghai Sun
Keyword(s):  
Lattice Boltzmann ◽  
Compressible Flows ◽  
Lattice Boltzmann Model ◽  
Boltzmann Model

scholarly journals Lattice Boltzmann model for weakly compressible flows

2020 ◽  
Vol 101 (1) ◽  
Author(s):  
Praveen Kumar Kolluru ◽  
Mohammad Atif ◽  
Manjusha Namburi ◽  
Santosh Ansumali
Keyword(s):  
Lattice Boltzmann ◽  
Compressible Flows ◽  
Lattice Boltzmann Model ◽  
Weakly Compressible ◽  
Boltzmann Model

LATTICE BOLTZMANN MODEL FOR SIMULATING VISCOUS COMPRESSIBLE FLOWS

2010 ◽  
Vol 21 (03) ◽  
pp. 383-407 ◽  
Author(s):  
Y. WANG ◽  
Y. L. HE ◽  
Q. LI ◽  
G. H. TANG ◽  
W. Q. TAO
Keyword(s):  
Distribution Function ◽  
Kernel Function ◽  
Lattice Boltzmann ◽  
Compressible Flows ◽  
Present Model ◽  
Mach Reflection ◽  
Lattice Boltzmann Model ◽  
Polynomial Kernel ◽  
Viscous Compressible Flows ◽  
Boltzmann Model

A lattice Boltzmann model is developed for viscous compressible flows with flexible specific-heat ratio and Prandtl number. Unlike the Maxwellian distribution function or circle function used in the existing lattice Boltzmann models, a polynomial kernel function in the phase space is introduced to recover the Navier–Stokes–Fourier equations. A discrete equilibrium density distribution function and a discrete equilibrium total energy distribution function are obtained from the discretization of the polynomial kernel function with Lagrangian interpolation. The equilibrium distribution functions are then coupled via the equation of state. In this framework, a model for viscous compressible flows is proposed. Several numerical tests from subsonic to supersonic flows, including the Sod shock tube, the double Mach reflection and the thermal Couette flow, are simulated to validate the present model. In particular, the discrete Boltzmann equation with the Bhatnagar–Gross–Krook approximation is solved by the finite-difference method. Numerical results agree well with the exact or analytic solutions. The present model has potential application in the study of complex fluid systems such as thermal compressible flows.

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