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DEMO_XY / gallery 5: "Grounded" electrolytic tank with 2 round electrodes. Mesh size: 601 x 401 nodes.

Running program

Windows:
DEMO_XY.exe 5

Linux:
./DEMO_XY.run 5

Problem definition.

Numeric meshes

Each pixel of picture represents one mesh node. 

white colour - vacuum
red   colour - electrode 1 (U == +0.0 [V]), frame
green colour - electrode 2 (U == -1.0 [V])
blue  colour - electrode 3 (U == +1.0 [V])

Visualization of mesh on picture.

problem xy No. 5 - Electrolytic tank with 2 electrodes in grounded casing (mesh 601 x 401) - electrode points on numerical mesh

Model parameters

mesh size:

number of rows     ==  601
number of columns  ==  401

problem_x_start ==  -200.0 [mm]
problem_x_stop  ==  +200.0 [mm]

problem_y_start ==  -300.0 [mm]
problem_y_stop  ==  +300.0 [mm]


number of iterations

>>> SUCCESS - solution V(x,y) has been found
after 57689 iterations

electrode 1 (red frame)
boundary ==  +1
voltage  ==  +0.0  [V]
width    ==  +10.0 [mm]

electrode 2 (green)
boundary ==  +2
voltage  ==  -1.0   [V]
radius   ==  +50.0  [mm]
x_center ==  +0.0   [mm]
y_center ==  +150.0 [mm]


electrode 3 (blue)
boundary ==  +3
voltage  ==  +1.0   [V]
radius   ==  +50.0  [mm]
x_center ==  +0.0   [mm]
y_center ==  -150.0 [mm]


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

Computation results

Equipotential lines

problem xy No. 5 - Electrolytic tank with 2 electrodes in grounded casing (mesh 601 x 401) - equipotential lines

Mapping of electrostatic potential [V] to colours

Colormap: grayscale

problem xy No. 5 - Electrolytic tank with 2 electrodes in grounded casing (mesh 601 x 401) - distribution of electrostatic potential V(x,y), grayscale colormap

Colormap: grayscale inverted

problem xy No. 5 - Electrolytic tank with 2 electrodes in grounded casing (mesh 601 x 401) - distribution of electrostatic potential V(x,y), inverted grayscale colormap

Colormap: hot-to-cold

problem xy No. 5 - Electrolytic tank with 2 electrodes in grounded casing (mesh 601 x 401) - distribution of electrostatic potential V(x,y), hot-to-cold colormap

Colormap: hot-to-cold inverted

problem xy No. 5 - Electrolytic tank with 2 electrodes in grounded casing (mesh 601 x 401) - distribution of electrostatic potential V(x,y), inverted hot-to-cold colormap

Colormap: jet

problem xy No. 5 - Electrolytic tank with 2 electrodes in grounded casing (mesh 601 x 401) - distribution of electrostatic potential V(x,y), jet colormap

Colormap: jet inverted

problem xy No. 5 - Electrolytic tank with 2 electrodes in grounded casing (mesh 601 x 401) - 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. 5 - Electrolytic tank with 2 electrodes in grounded casing (mesh 601 x 401) - distribution of x component of electric force E_x(x,y), grayscale colormap

Colormap: grayscale inverted

problem xy No. 5 - Electrolytic tank with 2 electrodes in grounded casing (mesh 601 x 401) - distribution of x component of electric force E_x(x,y), inverted grayscale colormap

Colormap: hot-to-cold

problem xy No. 5 - Electrolytic tank with 2 electrodes in grounded casing (mesh 601 x 401) - distribution of x component of electric force E_x(x,y), hot-to-cold colormap

Colormap: hot-to-cold inverted

problem xy No. 5 - Electrolytic tank with 2 electrodes in grounded casing (mesh 601 x 401) - distribution of x component of electric force E_x(x,y), inverted hot-to-cold colormap

Colormap: jet

problem xy No. 5 - Electrolytic tank with 2 electrodes in grounded casing (mesh 601 x 401) - distribution of x component of electric force E_x(x,y), jet colormap

Colormap: jet inverted

problem xy No. 5 - Electrolytic tank with 2 electrodes in grounded casing (mesh 601 x 401) - 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. 5 - Electrolytic tank with 2 electrodes in grounded casing (mesh 601 x 401) - distribution of y component of electric force E_y(x,y), grayscale colormap

Colormap: grayscale inverted

problem xy No. 5 - Electrolytic tank with 2 electrodes in grounded casing (mesh 601 x 401) - distribution of y component of electric force E_y(x,y), inverted grayscale colormap

Colormap: hot-to-cold

problem xy No. 5 - Electrolytic tank with 2 electrodes in grounded casing (mesh 601 x 401) - distribution of y component of electric force E_y(x,y), hot-to-cold colormap

Colormap: hot-to-cold inverted

problem xy No. 5 - Electrolytic tank with 2 electrodes in grounded casing (mesh 601 x 401) - distribution of y component of electric force E_y(x,y), inverted hot-to-cold colormap

Colormap: jet

problem xy No. 5 - Electrolytic tank with 2 electrodes in grounded casing (mesh 601 x 401) - distribution of y component of electric force E_y(x,y), jet colormap

Colormap: jet inverted

problem xy No. 5 - Electrolytic tank with 2 electrodes in grounded casing (mesh 601 x 401) - 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. 5 - Electrolytic tank with 2 electrodes in grounded casing (mesh 601 x 401) - distribution of electric force E_1(x,y), grayscale colormap

Colormap: grayscale inverted

problem xy No. 5 - Electrolytic tank with 2 electrodes in grounded casing (mesh 601 x 401) - distribution of electric force E_1(x,y), inverted grayscale colormap

Colormap: hot-to-cold

problem xy No. 5 - Electrolytic tank with 2 electrodes in grounded casing (mesh 601 x 401) - distribution of electric force E_1(x,y), hot-to-cold colormap

Colormap: hot-to-cold inverted

problem xy No. 5 - Electrolytic tank with 2 electrodes in grounded casing (mesh 601 x 401) - distribution of electric force E_1(x,y), inverted hot-to-cold colormap

Colormap: jet

problem xy No. 5 - Electrolytic tank with 2 electrodes in grounded casing (mesh 601 x 401) - distribution of electric force E_1(x,y), jet colormap

Colormap: jet inverted

problem xy No. 5 - Electrolytic tank with 2 electrodes in grounded casing (mesh 601 x 401) - 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. 5 - Electrolytic tank with 2 electrodes in grounded casing (mesh 601 x 401) - distribution of square of electric force E_2(x,y), grayscale colormap

Colormap: grayscale inverted

problem xy No. 5 - Electrolytic tank with 2 electrodes in grounded casing (mesh 601 x 401) - distribution of square of electric force E_2(x,y), inverted grayscale colormap

Colormap: hot-to-cold

problem xy No. 5 - Electrolytic tank with 2 electrodes in grounded casing (mesh 601 x 401) - distribution of square of electric force E_2(x,y), hot-to-cold colormap

Colormap: hot-to-cold inverted

problem xy No. 5 - Electrolytic tank with 2 electrodes in grounded casing (mesh 601 x 401) - distribution of square of electric force E_2(x,y), inverted hot-to-cold colormap

Colormap: jet

problem xy No. 5 - Electrolytic tank with 2 electrodes in grounded casing (mesh 601 x 401) - distribution of square of electric force E_2(x,y), jet colormap

Colormap: jet inverted

problem xy No. 5 - Electrolytic tank with 2 electrodes in grounded casing (mesh 601 x 401) - distribution of square of electric force E_2(x,y), inverted jet colormap

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