FLUID FLOW SIMULATION IN MICROPOROUS MEDIA ON NONUNIFORM GRIDS USING THE TAYLOR SERIES EXPANSION AND LEAST SQUARES-BASED LATTICE BOLTZMANN METHOD

2018 ◽  
Vol 9 (3) ◽  
pp. 183-206
Author(s):  
Ahmad Reza Rahmati
Keyword(s):  
Fluid Flow ◽  
Least Squares ◽  
Lattice Boltzmann Method ◽  
Taylor Series ◽  
Lattice Boltzmann ◽  
Flow Simulation ◽  
Taylor Series Expansion ◽  
Nonuniform Grids ◽  
Microporous Media ◽  
Boltzmann Method

SIMULATION OF NATURAL CONVECTION IN A SQUARE CAVITY BY TAYLOR SERIES EXPANSION- AND LEAST SQUARES-BASED LATTICE BOLTZMANN METHOD

2002 ◽  
Vol 13 (10) ◽  
pp. 1399-1414 ◽  
Author(s):  
C. SHU ◽  
Y. PENG ◽  
Y. T. CHEW
Keyword(s):  
Natural Convection ◽  
Least Squares ◽  
Lattice Boltzmann Method ◽  
Series Expansion ◽  
Taylor Series ◽  
Lattice Boltzmann ◽  
Taylor Series Expansion ◽  
Uniform Grid ◽  
Square Cavity ◽  
Boltzmann Method

The Taylor series expansion- and least squares-based lattice Boltzmann method (TLLBM) was used in this paper to extend the current thermal model to an arbitrary geometry so that it can be used to solve practical thermo-hydrodynamics in the incompressible limit. The new explicit method is based on the standard lattice Boltzmann method (LBM), Taylor series expansion and the least squares approach. The final formulation is an algebraic form and essentially has no limitation on the mesh structure and lattice model. Numerical simulations of natural convection in a square cavity on both uniform and nonuniform grids have been carried out. Favorable results were obtained and compared well with the benchmark data. It was found that, to get the same order of accuracy, the number of mesh points used on the nonuniform grid is much less than that used on the uniform grid.

scholarly journals Fluid flow simulation on the Cell Broadband Engine using the lattice Boltzmann method

2009 ◽  
Vol 58 (5) ◽  
pp. 1062-1070 ◽  
Author(s):  
Markus Stürmer ◽  
Jan Götz ◽  
Gregor Richter ◽  
Arnd Dörfler ◽  
Ulrich Rüde
Keyword(s):  
Fluid Flow ◽  
Lattice Boltzmann Method ◽  
Lattice Boltzmann ◽  
Flow Simulation ◽  
Cell Broadband Engine ◽  
Boltzmann Method
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