2. Numericalmethod
The LBEmethodisamesoscopicapproachtosolvefluidflowsby
evaluating theevolutionofparticledistributionfunctionsdueto
streaming andcollisionoveradiscretelatticemesh(Chen and
Doolen, 1998). Thisstudyusesatwo-distributionfunctionLBE
approach forincompressiblebinaryfluidsthatwasproposedby
Amaya-Bower andLee(2010). Inthismodel,onedistribution
function recoversthe pressure and the momentum, andtheother
distribution functionrecoversthe composition of onespecies.The
following aretheLBEforeachdistributionfunction ga and ha,