A improved incompressible lattice Boltzmann model for time-independent flows |
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Authors: | Qisu Zou Shuling Hou Shiyi Chen Gary D. Doolen |
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Affiliation: | (1) Center for Nonlinear Studies and Theoretical Division, Los Alamos National Laboratory, 87545 Los Alamos, New Mexico;(2) Department of Mathematics, Kansas State University, 66506 Manhattan, Kansas;(3) Department of Mechanical Engineering, Kansas State University, 66506 Manhattan, Kansas;(4) IBM Research Division, T. J. Watson Research Center, 10598 Yorktown Heights, New York |
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Abstract: | It is well known that the lattice Boltzmann equation method (LBE) can model the incompressible Navier-Stokes (NS) equations in the limit where density goes to a constant. In a LBE simulation, however, the density cannot be constant because pressure is equal to density times the square of sound speed, hence a compressibility error seems inevitable for the LBE to model incompressible flows. This work uses a modified equilibrium distribution and a modified velocity to construct an LBE which models time-independent (steady) incompressible flows with significantly reduced compressibility error. Computational results in 2D cavity flow and in a 2D flow with an exact solution are reported. |
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Keywords: | Lattice Boltzmann method incompressible flows steady flows |
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