Hi there, im solving laplace equation in a code i made in C. Im using Finite Difference Method in order to simulate the current pattern. I used the stream function to do that.(adsbygoogle = window.adsbygoogle || []).push({});

Electrode

0.--0--0--0--0--0--0--0-==========-1--1--1--1--1--1--1--1 1

0. 1

(Plasma Flow) --------> xxxxxxx (x =B Magnetic Field)

0. xxxxxxx 1

0. 1

--0--0--0--0--0--0--0--==========-1--1--1--1--1--1--1--1 1

Electrode

The problem is very simplificated of course. My boundary conditions are the ones showed in the schecth. So my function U goes from 0 to 1, and in the electrodes i put a function so U can be satisfied; and inside the channel, the classic equation of finite difference. I can obtain the current patern but my quention is: How can i introduce the effect of the magnetic field inside the channel?. I was thinking in introducing some Neumann conditions in those points, so the gradient of the funtions varies in order to "simulate" the force of the magnetic field.

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# Boundary Conditions Laplace

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