Moments-based method for boundary conditions in the lattice Boltzmann framework: A comparative analysis for the lid driven cavity flow

2021 ◽  
Vol 230 ◽  
pp. 105142
Author(s):  
R.L.M. Bazarin ◽  
P.C. Philippi ◽  
A. Randles ◽  
L.A. Hegele
Keyword(s):  
Comparative Analysis ◽  
Boundary Conditions ◽  
Lattice Boltzmann ◽  
Cavity Flow ◽  
Driven Cavity ◽  
Driven Cavity Flow

scholarly journals Using the Lid-Driven Cavity Flow to Validate Moment-Based Boundary Conditions for the Lattice Boltzmann Equation

2017 ◽  
Vol 64 (1) ◽  
pp. 57-74 ◽  
Author(s):  
Seemaa Mohammed ◽  
Tim Reis
Keyword(s):  
Boundary Conditions ◽  
Lattice Boltzmann ◽  
Cavity Flow ◽  
Distribution Functions ◽  
Driven Cavity ◽  
Slip Boundary ◽  
Multiple Relaxation Time ◽  
Driven Cavity Flow ◽  
Grid Points ◽  
The Moment

Abstract The accuracy of the Moment Method for imposing no-slip boundary conditions in the lattice Boltzmann algorithm is investigated numerically using lid-driven cavity flow. Boundary conditions are imposed directly upon the hydrodynamic moments of the lattice Boltzmann equations, rather than the distribution functions, to ensure the constraints are satisfied precisely at grid points. Both single and multiple relaxation time models are applied. The results are in excellent agreement with data obtained from state-of-the-art numerical methods and are shown to converge with second order accuracy in grid spacing.

AN ISOPARAMETRIC TRANSFORMATION-BASED INTERPOLATION-SUPPLEMENTED LATTICE BOLTZMANN METHOD AND ITS APPLICATION

2010 ◽  
Vol 24 (13) ◽  
pp. 1315-1318 ◽  
Author(s):  
KUN QU ◽  
CHANG SHU ◽  
YONG TIAN CHEW
Keyword(s):  
Lattice Boltzmann Method ◽  
Lattice Boltzmann ◽  
Simple Procedure ◽  
Cavity Flow ◽  
Numerical Results ◽  
Flow Around A Cylinder ◽  
Driven Cavity ◽  
Driven Cavity Flow ◽  
Boltzmann Method

Isoparametric transformation was applied to the interpolation-supplemented lattice Boltzmann method (ISLBM). As a result, it can be applied to arbitrarily structural grids and reserve the simple procedure of ISLBM. The simulation of the lid-driven cavity flow and the flow around a cylinder were performed to validate the proposed method. The numerical results agree excellently with the data in the literature.

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