DEMO_XY / gallery 29: Plate and cylinder in grounded casing. Version 1 (the same potential of plate and cylinder). Mesh size: 401 x 401 nodes.

Running program

Windows:
DEMO_XY.exe 29

Linux:
./DEMO_XY.run 29

Problem definition.

Numeric meshes

Each pixel of picture represents one mesh node.

white colour - vacuum
red colour   - electrode 1 (plate)
green colour - electrode 2 (cylinder)

Visualization of mesh on picture.

Model parameters

mesh size:

number of rows    ==  401
number of columns ==  401

coordinates:
x_start ==  -200.0 [mm]
x_stop  ==  +200.0 [mm]
y_start ==  -200.0 [mm]
y_stop  ==  +200.0 [mm]

number of iterations

>>> SUCCESS - solution V(x,y) has been found
after 65944 iterations

electrode 1 (red casing)
boundary  ==   1
voltage   ==  +0.0 [V]
thickness ==  10 nodes

electrode 2 (plate, green)
boundary ==   2
voltage  ==  -1.0              [V]
x        ==  -70.0  ... -10.0  [mm]
y        ==  -100.0 ... +100.0 [mm]

electrode 3 (cylinder, blue)
boundary ==   3
voltage  ==  -1.0  [V]
x_center ==  +50.0 [mm]
y_center ==  +0.0  [mm]
radius   ==  +10.0 [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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