[swtbkim]

HI all.

I want to solve Gauss' law and charge conservation equation for simulation of electrostatic precipitator

First, Gauss' law is given by div(E)=q/eps or laplacian(V)=-q/eps, where V is electric potential and q is space charge density and eps is permittivity.

I can implement this equation using UDS of Fluent
temporal term = 0 (steady state solver)
convection term = 0 (no flux function)
UDS diffusivity = eps
UDS source = -q
UDS = V
This setup will solve the above Poisson's equation.

It is clear up to here, but the problem is charge conservation equation below.

div(J)=0, where J is current density vector and given by J=KqE, where K is constant
After summarizing, the equation is as follows.
Therefore the equation gives del(q) dot del(V) = q^2/eps

Which setup of UDS could solve the above equation?
Or, do I have to avoid UDS?
Is there any other function for what I want?

Thank you very much.



* I attached the figure of equations but there is a typo. I don't know how to change the attachment...
[ (del q) dot (del E) = q^2/eps ] in the figure should be [ (del q) dot (del V) = q^2/eps ]

[litzj]

master thesis of bouchmal from delft probably help you

because he used uds to calculate electric field

[swtbkim]

Originally Posted by litzj

master thesis of bouchmal from delft probably help you

because he used uds to calculate electric field

Thank you for your reply.
The paper may be very helpful someday, since it provides detailed framework step by step. I guess I should follow up that work
But, for the time being, I don't want to change the form of governing equation. The paper deals with Boltzmann equation, while it is not in my case.

Thank you.

[swtbkim]

any idea please?