Hello everyone,
Does anyone know of the paper(s) which first investigated the use of the D3Q7(or D3Q6) BGK-LBMs for the advection-diffusion equation? I found many articles mentioning them briefly, but I cannot track it down for referencing…
Many thanks,
Dragos
Dear Dragos,
It depends what you want - I don’t have the initial reference, but I have the specifications for D3Q7 (equilibrium functions and so on). Please let me know if you need the paper with the equilibrium functions specified.
Alex
Dear Alex,
That would be great! I found bits and pieces, but not the whole model specification.
Best wishes,
Dragos
You should definitly start here:
I. Ginzburg, Equilibrium-type and Link-type Lattice Boltzmann models for generic advection and anisotropic-dispersion equation, Adv Water Resour, 28, 2005
but I have to warn you, I. Ginzburgs papers a hard to read. This would also be a good starting point:
Stiebler et al., Advection–diffusion lattice Boltzmann scheme for hierarchical grids
Good luck!
Ben