DEMO_XY / gallery 23: inspired by Stack Exchange, (JohnDow's question), mesh size: 190 x 280 nodes.

Question on forum Physics/Stack Exchange

https://physics.stackexchange.com/questions/113290/simulate-plot-electrostatic-field

Running program

Windows:
DEMO_XY.exe 23

Linux:
./DEMO_XY.run 23

Problem definition.

Numeric meshes

Each pixel of picture represents one mesh node.

white colour - vacuum
red colour   - electrode 1
green colour - electrode 2

Visualization of mesh on picture.

Model parameters

mesh size:

number of rows    ==  190
numner of columns ==  280

coordinates:
x_start ==  +0.0   [mm]
x_stop  ==  +279.0 [mm]
y_start ==  +0.0   [mm]
y_stop  ==  +189.0 [mm]

number of iterations

>>> SUCCESS - solution V(x,y) has been found
after 157145 iterations

electrode 1 (red A+B)
(A)
boundary ==  +1
voltage  ==  +9.0 [V]
i_col    ==  51 .. 115
i_row    ==  81 .. 90
(B)
boundary ==  +1
voltage  ==  +9.0 [V]
i_col    ==  106 .. 115
i_row    ==  41 .. 80

electrode 2 (round, green)
boundary ==  +2
voltage  ==  +0.0    [V]
x_center ==  +165.0  [mm]
y_center ==  +95.0   [mm]
radius   ==  +20.0   [mm]


computation accuracy:
eps ==  1.0E-9 [V]

Computation results

Equipotential lines

Mapping of electrostatic potential [V] to colours

Colormap: grayscale

Colormap: grayscale inverted

Colormap: hot-to-cold

Colormap: hot-to-cold inverted

Colormap: jet

Colormap: jet inverted

Mapping of component x of electric force (E_x) [V/mm] to colours

Important: determinig of exact values of E near electrode surface is generally problematic. These maps have generally illustrative character.

Colormap: grayscale

Colormap: grayscale inverted

Colormap: hot-to-cold

Colormap: hot-to-cold inverted

Colormap: jet

Colormap: jet inverted

Mapping of component y of electric force (E_y) [V/mm] to colours

Important: determinig of exact values of E near electrode surface is generally problematic. These maps have generally illustrative character.

Colormap: grayscale

Colormap: grayscale inverted

Colormap: hot-to-cold

Colormap: hot-to-cold inverted

Colormap: jet

Colormap: jet inverted

Mapping of electric force (E) [V/mm] to colours

algorihm of computation:
E = sqrt(E_x*E_x + E_y*E_y)

Important: determinig of exact values of E near electrode surface is generally problematic. These maps have generally illustrative character.

Colormap: grayscale

Colormap: grayscale inverted

Colormap: hot-to-cold

Colormap: hot-to-cold inverted

Colormap: jet

Colormap: jet inverted

Mapping of square of electric force (E*E == E2) [V2/mm2] to colours

algorithm of computation:
E*E = E_x*E_x + E_y*E_y

Important: determinig of exact values of E near electrode surface is generally problematic. These maps have generally illustrative character.

Colormap: grayscale

Colormap: grayscale inverted

Colormap: hot-to-cold

Colormap: hot-to-cold inverted

Colormap: jet

Colormap: jet inverted

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