| Author | Message | |||
     Fred (fredpde) New member Username: fredpde Post Number: 1 Registered: 03-2007 |
Hi! I have to simulate the flight of an electron through an electrostatic spectrometer. First, I'd like to start with the simple problem of an electron flying beetwen to plane electrodes. The electrodes are "infinite" in the y direction and have no thickness in the x direction. The first one is at 0V (whatever be y)and the second one is at 100V (whatever be y). The distance beetwen them is 1cm. So the electric field is a constant and is parallel to the x axis. The electron start at (0,0) with an initial velocity of (1,1). The movement is then just governed by the Newton law : F=qE=m*dv/dt. All I want to know is how to plot the trajectories of the electron in the x-y plane. So, the physics is simple and the solution is obvious. I know I don't really need FlexPDE to solve this problem. But then, I want to treat a more realistic case in witch the electric field depends on x and y and the geometry is more complicated. So my problem is first to set the simple problem mentioned above in the FlesPDE language. For this, I need help. So any hint or help would be appreciated.... Thanks a lot... Fred | |||
| Robert G. Nelson (rgnelson) Moderator Username: rgnelson Post Number: 796 Registered: 06-2003 |
FlexPDE does not currently have any facilities for tracking trajectories. You'll have to export the field and track the electrons with another program. I will add this facility to our development list, but I can't predict when it will become available. | |||
| Fred (fredpde) New member Username: fredpde Post Number: 2 Registered: 03-2007 |
Hi everybody! I have to treat the heat equation in a 1D, time dependent situation. Let me explain: A squared sample is heated by resistive heating. The current is constant, flowing from one side to the other side, along the x direction from example. The electric contacts are uniform along x, so the temperature only depends on x, and t. At t=0, the whole sample is at room temperature. At t>0, the sample is heated with RI^2, loosing sigma*T^4 per surface unit. There is no heat flux on the 2 other sides. How can I set up the initial conditions and boundaries to solve this problem? Here is the stationary problem.How should I modify it? Thank you for any help!!
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