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Implement the 2D model from Hogan-Shonk #50

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jaghili opened this issue Apr 4, 2024 · 0 comments
Open

Implement the 2D model from Hogan-Shonk #50

jaghili opened this issue Apr 4, 2024 · 0 comments
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@jaghili
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jaghili commented Apr 4, 2024

Implement in Feel++ the equations (1) and (3) from paper https://www.met.reading.ac.uk/~swrhgnrj/publications/hogan_shonk_ecmwf.pdf

Solve with CFPDES the scalar fields $(B_x, B_y, E_z)$ in a square domain

  1. with no other materials eps=1 everywhere
  2. with a disk shaped material with $\epsilon=1.78$ (see simulations in https://www.met.reading.ac.uk/clouds/maxwell/). There are two methods that we need to discuss :
    a. by meshing the domain
    b. by taking epsilon as a function of the space $x$, ie $\epsilon(x)=$ 1 if $x$ is outside the particule, and 1.78 if it is inside.

Boundary conditions:

  • test with $E_z=\sin(\omega t)$ at bottom

Initial condition (at $t=0$) :
$B_x=B_y=E_z=0$ everywhere in the domain.

@jaghili jaghili added this to the V1 milestone Apr 4, 2024
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