Non newtonian flow

I’m a ChemE undergrad, final year. As a project I’m modifying a D3Q19 LBM implementation to include the modellng of non newtonian fluids, power law to start with.
As I understand it, what I’d essentially need to change is the collision function, which currently implements the standard BGK model.
Is there a well known formulation of such a thing? Some references would be great…



there are a few references. I think that some of them are also discussed here. Otherwise you should search for ‘lattice boltzmann non-newtonian’ in Google Scholar. You will find plenty of literature.