Coupling LB with finite volume

Lattice Boltzmann Method LBM: Theory
#1

Hello,

I want to simulate a simple non-isothermal flow. My Idea is to compute the fluid flow with LB and the advection-diffusion equation for the temperature with the finite volume method. I would also like to take into account of buoyancy with the Boussinesq approximation.
Do you think is that possible? Can anybody explain me how LB is affected by Boussinesq approximation?

Thankyou

#2

Hi,
I think that indeed it is a very good idea to try to couple OpenLB with a finite volume advection diffusion code (we’ve never done that :wink: ). For more informations about the Boussinesq force coupling with LB you can have a look at this paper Guo et al..

Cheers,
Orestis

#3

I have written quite a bit of finite volume code. If you have the flow field (u,v) from LB and the basic thermal properties of the fluid, it is easy to integrate the thermal solver. Let me know if you want to see some sample code.

Nano

#4

Hi,
I did some mistake referencing the paper by Guo et al. Now the the url is correct. (I hope you did not try to download it and failed…)

Cheers,
Orestis

#5

Hello,

Thank you very much for your help. I have two questions,

To Orestis: Can you send me the paper by Guo? I can’t download it.

To Nano: Could you show me some sample code? It will be very useful…

Thanks!

#6

I sent the FV code to your email…

#7

Hello,

I’ve a question for Orestis about the paper by Guo.

I did the Chapman-Enskog expansion but I’m in trouble. I can’t derive the equation (22) on that paper. In particular, i think that the term multiplied by delta_t/2 should be D[sup]2[/sup][sub]1i[/sub]Tsup[/sup], otherwhise I can’t get the equation (23) and so on…

Thank you

#8

That’s right: there should most certainly be a second derivative on Tsup[/sup] in Eq. (22), instead of a first derivative.

#9

hello all

plz nano can you send me a copy of your code " LBM+FV "

NB: i cant download the paper thanks for help

this is my e-mail vilop6@gmail.com

regards