advection diffusion algorithm

[Devin-one]

Hello professor, I want to learn the advection diffusion algorithm recently. But I don't seem to find any examples about it. Do you have any examples or papers on it？

[jgostick]

Hi @liqiwen123
We have a few things you can refer to, including our new documentation. We had a graduate student here at UW working on this for his thesis so you can expect a paper in the next few months.

[Devin-one]

Thank you for your suggestion. I have been studying your example recently. My research purpose is to get the velocity field and pressure field, so I don't know whether I should set it like the Stokes flow algorithm in the example. By the way, what are A and b in the coefficient matrix in convection diffusion? Can x only represent the pore concentration? Thank you in advance for your reply.

[jgostick]

The StokesFlow is solved first and then the flow is "set", the advection diffusion algorithm is basically a diffusion algorithm where the local velocity of the fluid is included in the diffusive conductance. So yes, x only represents concentration. If you want to know the pressure and fluid velocity, you ask the StokesFlow algorithm.