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DEMO_XY / gallery 4: "S" - formed line inside grounded casing. Mesh size: 500 x 300 nodes.

Running program

Windows:
DEMO_XY.exe 4

Linux:
./DEMO_XY.run 4

Problem definition.

Numeric meshes

Each pixel of picture represents one mesh node. 

white colour - vacuum
red colour   - "S" line (electrode 1)
green colour - frame (electrode 2)

Visualization of mesh on picture.

problem xy No. 4 - 'S' - formed line inside grounded casing (mesh 500 x 300) - electrode points on numerical mesh

Model parameters

mesh size:

number of rows     ==  500
number of columns  ==  300

number of iterations

>>> SUCCESS - solution V(x,y) has been found
after 45640 iterations

electrode 1 (red)
"S" - shape formed line
boundary ==  +1
voltage  ==  +1.0 [V]


electrode 2 (green)
grounded frame
boundary ==  +2
voltage  ==  +0.0 [V]


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

Computation results

Equipotential lines

problem xy No. 4 - 'S' - formed line inside grounded casing (mesh 500 x 300) - equipotential lines

Mapping of electrostatic potential [V] to colours

Colormap: grayscale

problem xy No. 4 - 'S' - formed line inside grounded casing (mesh 500 x 300) - distribution of electrostatic potential V(x,y), grayscale colormap

Colormap: grayscale inverted

problem xy No. 4 - 'S' - formed line inside grounded casing (mesh 500 x 300) - distribution of electrostatic potential V(x,y), inverted grayscale colormap

Colormap: hot-to-cold

problem xy No. 4 - 'S' - formed line inside grounded casing (mesh 500 x 300) - distribution of electrostatic potential V(x,y), hot-to-cold colormap

Colormap: hot-to-cold inverted

problem xy No. 4 - 'S' - formed line inside grounded casing (mesh 500 x 300) - distribution of electrostatic potential V(x,y), inverted hot-to-cold colormap

Colormap: jet

problem xy No. 4 - 'S' - formed line inside grounded casing (mesh 500 x 300) - distribution of electrostatic potential V(x,y), jet colormap

Colormap: jet inverted

problem xy No. 4 - 'S' - formed line inside grounded casing (mesh 500 x 300) - distribution of electrostatic potential V(x,y), inverted jet colormap

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

problem xy No. 4 - 'S' - formed line inside grounded casing (mesh 500 x 300) - distribution of x component of electric force E_x(x,y), grayscale colormap

Colormap: grayscale inverted

problem xy No. 4 - 'S' - formed line inside grounded casing (mesh 500 x 300) - distribution of x component of electric force E_x(x,y), inverted grayscale colormap

Colormap: hot-to-cold

problem xy No. 4 - 'S' - formed line inside grounded casing (mesh 500 x 300) - distribution of x component of electric force E_x(x,y), hot-to-cold colormap

Colormap: hot-to-cold inverted

problem xy No. 4 - 'S' - formed line inside grounded casing (mesh 500 x 300) - distribution of x component of electric force E_x(x,y), inverted hot-to-cold colormap

Colormap: jet

problem xy No. 4 - 'S' - formed line inside grounded casing (mesh 500 x 300) - distribution of x component of electric force E_x(x,y), jet colormap

Colormap: jet inverted

problem xy No. 4 - 'S' - formed line inside grounded casing (mesh 500 x 300) - distribution of x component of electric force E_x(x,y), inverted jet colormap

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

problem xy No. 4 - 'S' - formed line inside grounded casing (mesh 500 x 300) - distribution of y component of electric force E_y(x,y), grayscale colormap

Colormap: grayscale inverted

problem xy No. 4 - 'S' - formed line inside grounded casing (mesh 500 x 300) - distribution of y component of electric force E_y(x,y), inverted grayscale colormap

Colormap: hot-to-cold

problem xy No. 4 - 'S' - formed line inside grounded casing (mesh 500 x 300) - distribution of y component of electric force E_y(x,y), hot-to-cold colormap

Colormap: hot-to-cold inverted

problem xy No. 4 - 'S' - formed line inside grounded casing (mesh 500 x 300) - distribution of y component of electric force E_y(x,y), inverted hot-to-cold colormap

Colormap: jet

problem xy No. 4 - 'S' - formed line inside grounded casing (mesh 500 x 300) - distribution of y component of electric force E_y(x,y), jet colormap

Colormap: jet inverted

problem xy No. 4 - 'S' - formed line inside grounded casing (mesh 500 x 300) - distribution of y component of electric force E_y(x,y), inverted jet colormap

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

problem xy No. 4 - 'S' - formed line inside grounded casing (mesh 500 x 300) - distribution of electric force E_1(x,y), grayscale colormap

Colormap: grayscale inverted

problem xy No. 4 - 'S' - formed line inside grounded casing (mesh 500 x 300) - distribution of electric force E_1(x,y), inverted grayscale colormap

Colormap: hot-to-cold

problem xy No. 4 - 'S' - formed line inside grounded casing (mesh 500 x 300) - distribution of electric force E_1(x,y), hot-to-cold colormap

Colormap: hot-to-cold inverted

problem xy No. 4 - 'S' - formed line inside grounded casing (mesh 500 x 300) - distribution of electric force E_1(x,y), inverted hot-to-cold colormap

Colormap: jet

problem xy No. 4 - 'S' - formed line inside grounded casing (mesh 500 x 300) - distribution of electric force E_1(x,y), jet colormap

Colormap: jet inverted

problem xy No. 4 - 'S' - formed line inside grounded casing (mesh 500 x 300) - distribution of electric force E_1(x,y), inverted jet colormap

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

problem xy No. 4 - 'S' - formed line inside grounded casing (mesh 500 x 300) -distribution of square of electric force E_2(x,y), grayscale colormap

Colormap: grayscale inverted

problem xy No. 4 - 'S' - formed line inside grounded casing (mesh 500 x 300) - distribution of square of electric force E_2(x,y), inverted grayscale colormap

Colormap: hot-to-cold

problem xy No. 4 - 'S' - formed line inside grounded casing (mesh 500 x 300) - distribution of square of electric force E_2(x,y), hot-to-cold colormap

Colormap: hot-to-cold inverted

problem xy No. 4 - 'S' - formed line inside grounded casing (mesh 500 x 300) - distribution of square of electric force E_2(x,y), inverted hot-to-cold colormap

Colormap: jet

problem xy No. 4 - 'S' - formed line inside grounded casing (mesh 500 x 300) - distribution of square of electric force E_2(x,y), jet colormap

Colormap: jet inverted

problem xy No. 4 - 'S' - formed line inside grounded casing (mesh 500 x 300) - distribution of square of electric force E_2(x,y), inverted jet colormap

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