The Lattice-Boltzmann Method for Gaseous

PhenomenaPaper by Xiaoming Wei, Wei Li, Klaus Mueller and Arie Kaufman

Implementation by Davey Krill, March 2006, CS 777

Problem and Goal

Display Particles

Microscopic Particles

Temperature Field simulates Buoyancy

Boundary Conditions

Velocity Field simulates Wind

Navier-Stokes? Bah!

Lattice Boltzmann model

Setting Things into Motion

The Algorithm

• Initialize the grid cells• Find

• Compute equilibrium packet distributions

• Solve for new packet distributions• Propagate to neighboring cells• Boundary conditions

Putting it to the Test

Initial conditions: D=0.42, v=0.5, tau=0.56