about the D3Q13

hello everyone,
I have read the paper thirteen velocity three dimensional lattice boltzmann model by Humieres et. al., 2001. But i can not find the weight coefficients w_alpha for D3Q13 in this paper. Who can help me? Thank you in advanced.


In their D3Q13 model (multi-relaxation-time), you don’t need to know the value of w_alpha to calculate density and momentum; the calculation can be done straight-forward from f_alpha = M * F; where M is the projection matrix and F is the moment. D3Q13 does not possess sufficient symmetry; so they cannot be written in Hermite polynomial form, or the usual BGK form.

Hope this help.