higher grid resolution --> later convergence?
 

Hello,

I'm new here and in the CFD-World.
At the moment I'm writing my bachelor's thesis about a fluid flow problem.

My question:
Can anybody give a brief explanation about the fact, that if you calculate the same case for different meshes (for a grid study) it needs more iterations to converge the higher the grid resolution respectively the cell number is?

Thank you very much in advance!

your question is not very clear... convergence in what? What kind of formulation and solver are you using and for solving what? What about your starting vector?

Just speaking in general, if you solve a linear system with an interative method, the rate of convergence of the method depends on the spectral radius of the iteration matrix. Thus, while changing h, you should check if the spectral radius changes.

Excuse me for not expressing clearly and thanks for your answer!

Im not deep into theoretical backgrounds yet. And my advisor at the university is neither.

I have three grids for a combustion furnace with inlet and outlet.

Im using FLUENT with steady-state flow and pressure-based solver (SIMPLE).

The residuals of the coarsest grid are converging earlier than they're doing with finer meshes. What is the reason? Why doest it need not only a longer computing time, but also more iterations till the flow is fully developed?

I'm kindly asking for a quite simply answer, if there is one.

I hope I made myself sufficiently clear enough.

Thank you in advance.

I don't know about the spektral radius, but if you have a line of people (representing the domain points) and each person can only talk to people next to him/her in order to transmit a message, then it will take more time to transmit that message from one end to the other with increasing number of people, right? If you can talk to the 2 closest people etc., then it will go a little bit faster, but the talking will take more time. ;)

Thanks. That sounds plausible ;-)