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DEMO_XY / gallery 1: two parallel plates in vacuum. Mesh size: 200 x 200 nodes.

Running program

Windows:
DEMO_XY.exe 1

Linux:
./DEMO_XY.run 1

Problem definition.

Numeric meshes

Each pixel of picture represents one mesh node. 

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

Visualization of mesh on picture.

problem xy No. 1 - Two parallel plates in vacuum (mesh 200 x 200) - electrode points on numerical mesh

Model parameters

mesh size:

number of rows     ==  200
number of columns  ==  200

number of iterations

>>> SUCCESS - solution V(x,y) has been found
after 72157 iterations

plate 1
boundary ==  +1
voltage  ==  +1.0 [V]
i_col    ==  81 .. 90
i_row    ==  51 .. 150

plate 2
boundary ==  +2
voltage  ==  -1.0 [V]
i_col    ==  111 .. 120
i_row    ==  51  .. 150

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

Computation results

Equipotential lines

problem xy No. 1 - Two parallel plates in vacuum (mesh 200 x 200) - equipotential lines

Mapping of electrostatic potential [V] to colours

Colormap: grayscale

problem xy No. 1 - Two parallel plates in vacuum (mesh 200 x 200) - distribution of electrostatic potential V(x,y), grayscale colormap

Colormap: grayscale inverted

problem xy No. 1 - Two parallel plates in vacuum (mesh 200 x 200) - distribution of electrostatic potential V(x,y), grayscale inverted colormap

Colormap: hot-to-cold

problem xy No. 1 - Two parallel plates in vacuum (mesh 200 x 200) - distribution of electrostatic potential V(x,y), hot-to-cold colormap

Colormap: hot-to-cold inverted

problem xy No. 1 - Two parallel plates in vacuum (mesh 200 x 200) - distribution of electrostatic potential V(x,y), hot-to-cold inverted colormap

Colormap: jet

problem xy No. 1 - Two parallel plates in vacuum (mesh 200 x 200) - distribution of electrostatic potential V(x,y), jet colormap

Colormap: jet inverted

problem xy No. 1 - Two parallel plates in vacuum (mesh 200 x 200) - distribution of electrostatic potential V(x,y), jet inverted 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. 1 - Two parallel plates in vacuum (mesh 200 x 200) - distribution of x component of electric force E_x(x,y), grayscale colormap

Colormap: grayscale inverted

problem xy No. 1 - Two parallel plates in vacuum (mesh 200 x 200) - distribution of x component of electric force E_x(x,y), grayscale inverted colormap

Colormap: hot-to-cold

problem xy No. 1 - Two parallel plates in vacuum (mesh 200 x 200) - distribution of x component of electric force E_x(x,y), hot-to-cold colormap

Colormap: hot-to-cold inverted

problem xy No. 1 - Two parallel plates in vacuum (mesh 200 x 200) - distribution of x component of electric force E_x(x,y), hot-to-cold inverted colormap

Colormap: jet

problem xy No. 1 - Two parallel plates in vacuum (mesh 200 x 200) - distribution of x component of electric force E_x(x,y), jet colormap

Colormap: jet inverted

problem xy No. 1 - Two parallel plates in vacuum (mesh 200 x 200) - distribution of x component of electric force E_x(x,y), jet inverted 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. 1 - Two parallel plates in vacuum (mesh 200 x 200) - distribution of y component of electric force E_y(x,y), grayscale colormap

Colormap: grayscale inverted

problem xy No. 1 - Two parallel plates in vacuum (mesh 200 x 200) - distribution of y component of electric force E_y(x,y), grayscale inverted colormap

Colormap: hot-to-cold

problem xy No. 1 - Two parallel plates in vacuum (mesh 200 x 200) - distribution of y component of electric force E_y(x,y), hot-to-cold colormap

Colormap: hot-to-cold inverted

problem xy No. 1 - Two parallel plates in vacuum (mesh 200 x 200) - distribution of y component of electric force E_y(x,y), hot-to-cold inverted colormap

Colormap: jet

problem xy No. 1 - Two parallel plates in vacuum (mesh 200 x 200) - distribution of y component of electric force E_y(x,y), jet colormap

Colormap: jet inverted

problem xy No. 1 - Two parallel plates in vacuum (mesh 200 x 200) - distribution of y component of electric force E_y(x,y), jet inverted 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. 1 - Two parallel plates in vacuum (mesh 200 x 200) - distribution of electric force E_1(x,y), grayscale colormap

Colormap: grayscale inverted

problem xy No. 1 - Two parallel plates in vacuum (mesh 200 x 200) - distribution of electric force E_1(x,y), grayscale inverted colormap

Colormap: hot-to-cold

problem xy No. 1 - Two parallel plates in vacuum (mesh 200 x 200) - distribution of electric force E_1(x,y), hot-to-cold colormap

Colormap: hot-to-cold inverted

problem xy No. 1 - Two parallel plates in vacuum (mesh 200 x 200) - distribution of electric force E_1(x,y), hot-to-cold inverted colormap

Colormap: jet

problem xy No. 1 - Two parallel plates in vacuum (mesh 200 x 200) - distribution of electric force E_1(x,y), jet colormap

Colormap: jet inverted

problem xy No. 1 - Two parallel plates in vacuum (mesh 200 x 200) - distribution of electric force E_1(x,y), jet inverted 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. 1 - Two parallel plates in vacuum (mesh 200 x 200) - distribution of square of electric force E_2(x,y), grayscale colormap

Colormap: grayscale inverted

problem xy No. 1 - Two parallel plates in vacuum (mesh 200 x 200) - distribution of square of electric force E_2(x,y), grayscale inverted colormap

Colormap: hot-to-cold

problem xy No. 1 - Two parallel plates in vacuum (mesh 200 x 200) - distribution of square of electric force E_2(x,y), hot-to-cold colormap

Colormap: hot-to-cold inverted

problem xy No. 1 - Two parallel plates in vacuum (mesh 200 x 200) - distribution of square of electric force E_2(x,y), hot-to-cold inverted colormap

Colormap: jet

problem xy No. 1 - Two parallel plates in vacuum (mesh 200 x 200) - distribution of square of electric force E_2(x,y), jet colormap

Colormap: jet inverted

problem xy No. 1 - Two parallel plates in vacuum (mesh 200 x 200) - distribution of square of electric force E_2(x,y), jet inverted colormap

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