Solving a Laplace equation for a scalar quantity

ali hemmati · July 13, 2011, 04:40

Hello,

I am trying to solve $\nabla^{2}\varphi=0$ , i.e. homogeneous Laplace equation, in which $\varphi$ is a scalar quantity and is described in a zone(2D or 3D). We know boundary values of $\varphi$ in borders of the zone. This problem is very analogous to head conduction at steady state, yet $\varphi$ is the electric potential here, not temperature.

I am wondering how to implement this problem in FLUENT. I think I have to mesh the zone and use a udf or something like that.

Thanks for your help.

Amir · July 13, 2011, 07:40

Hi Ali,
you can easily do that by implementing a UDS, user defined scalar; in it's definition, ignore unsteady and convective terms.

Amir

July 13, 2011, 04:40	Solving a Laplace equation for a scalar quantity	#1
ali hemmati New Member Ali Hemmati Join Date: Mar 2011 Location: Tehran, Sharif U of Tech Posts: 26 Rep Power: 4	Hello, I am trying to solve $\nabla^{2}\varphi=0$ , i.e. homogeneous Laplace equation, in which $\varphi$ is a scalar quantity and is described in a zone(2D or 3D). We know boundary values of $\varphi$ in borders of the zone. This problem is very analogous to head conduction at steady state, yet $\varphi$ is the electric potential here, not temperature. I am wondering how to implement this problem in FLUENT. I think I have to mesh the zone and use a udf or something like that. Thanks for your help.

July 13, 2011, 07:40		#2
Amir Senior Member Amir Join Date: May 2009 Location: Shiraz, Iran Posts: 719 Blog Entries: 1 Rep Power: 12	Hi Ali, you can easily do that by implementing a UDS, user defined scalar; in it's definition, ignore unsteady and convective terms. Amir ali hemmati likes this.

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