Electric Field With Space Charge

masspec · June 10, 2010, 20:33

Hi,

I want to solve for a electric field with space charge in it. Say it is 2D, with two plate electrode and known voltage, and the charge density distribution is also known(a function of x,y).

With this space charge, the electric field need to be solved by Poisson equation as follows:

laplacian(phi)= -rho/e.

where phi is the electric potential(Volt), rho is the space charge density(C/M^3), e is the elementary charge(C).

I am new to OpenFOAM, could you guys give me some advice on how could I set up the model to solve it.

Thanks a lot!!!

VdG · June 11, 2010, 08:22

ElectrostaticFoam is intended to do this kind of simulation. The chargedWire tutorial gives an example of the case set-up. You will find the tutorial in /OpenFOAM-1.6/tutorials/electromagnetics/electrostaticFoam/chargedWire.

masspec · June 11, 2010, 12:23

Yeah, I run this charged wire tutorial. But there is no space charge(ions) in the domain, how could I modify it to meet my needs?

June 10, 2010, 20:33	Electric Field With Space Charge	#1
masspec New Member Xingzhi You Join Date: May 2010 Posts: 7 Rep Power: 16	Hi, I want to solve for a electric field with space charge in it. Say it is 2D, with two plate electrode and known voltage, and the charge density distribution is also known(a function of x,y). With this space charge, the electric field need to be solved by Poisson equation as follows: laplacian(phi)= -rho/e. where phi is the electric potential(Volt), rho is the space charge density(C/M^3), e is the elementary charge(C). I am new to OpenFOAM, could you guys give me some advice on how could I set up the model to solve it. Thanks a lot!!!

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June 11, 2010, 08:22		#2
VdG New Member Vincent de Graaf Join Date: Jun 2010 Location: Germany Posts: 12 Rep Power: 16	ElectrostaticFoam is intended to do this kind of simulation. The chargedWire tutorial gives an example of the case set-up. You will find the tutorial in /OpenFOAM-1.6/tutorials/electromagnetics/electrostaticFoam/chargedWire.

June 11, 2010, 12:23		#3
masspec New Member Xingzhi You Join Date: May 2010 Posts: 7 Rep Power: 16	Yeah, I run this charged wire tutorial. But there is no space charge(ions) in the domain, how could I modify it to meet my needs?