Liebmann - galleries.

DEMO_XY - gallery

Gallery of problems (2D electrostatic fields (X-Y)), which can be solved by DEMO_XY demonstrator.

1. Two parallel plates in vacuum (mesh 200 x 200).
2. Two parallel plates in vacuum (mesh 400 x 400).
3. Plane diode with lateral plates at the cathode potential (mesh 201 x 201).
4. "S" - shape electrode inside grounded casing (mesh 500 x 300).
5. Electrolytic tank with 2 electrodes in grounded casing (mesh 601 x 401).
6. Two-anode magnetron "with smile" (mesh 401 x 401).
7. Two-anode magnetron (such as in Paszkowski's book, page 62 or page 51 in English edition) (mesh 401 x 401).
8. Slit diaphragm (such as in Paszkowski's book) (mesh 401 x 401).
9. Two parallel plates in vacuum - inequal length (mesh 200 x 200).
10. Slit diaphragm - "weird version" (mesh 401 x 401).
11. Electrolytic tank with 2 electrodes (inequal diameters of electrodes) (mesh 601 x 401).
12. Electrolytic tank with 2 electrodes (inequal diameters of electrodes, but the same potential) (mesh 601 x 401).
13. Two parallel plates in vacuum (inequal length) (mesh 400 x 400).
14. Electrostatic quadrupole (mesh 401 x 401).
15. Cylindrical capacitor (mesh 401 x 401).
16. Electrostatic quadrupole, defined in radial coordinates (mesh 401 x 401).
17. Electrostatic hexapole, defined in radial coordinates (mesh 401 x 401).
18. Electrostatic "asymmetrical" quadrupole, defined in radial coordinates (mesh 401 x 401).
19. Electrostatic octupole, defined in radial coordinates (mesh 401 x 401).
20. Electrostatic quadrupole with "plate - shaped electrodes" (mesh 401 x 401).
21. Problem 21 - from Physics Stack Exchange, (JohnDow's question) (mesh 170 x 125).
22. Problem 22 - from Physics Stack Exchange, (JohnDow's question) (mesh 210 x 170).
23. Problem from Physics Stack Exchange, (JohnDow's question) (mesh 190 x 280).
24. Problem from Physics Stack Exchange, (JohnDow's question) (mesh 401 x 401).
25. Problem from Physics Stack Exchange, version "with ellipse" (JohnDow's question) (mesh 401 x 401).
26. Problem from Physics Stack Exchange, version "in casing" (JohnDow's question) (mesh 401 x 401).
27. Plate and cylinder - version 1 (mesh 401 x 401).
28. Plate and cylinder - version 2 (closer) (mesh 401 x 401).
29. Plate and cylinder in grounded casing - version 1 (plate and cylinder have the same potential) (mesh 401 x 401).
30. Plate and cylinder in grounded casing - version 2 (plate and cylinder have different potentials) (mesh 401 x 401).
31. 2 plates in grounded casing (version v1) (mesh 401 x 401).
32. 2 plates in grounded casing (version v2) (mesh 401 x 401).
33. Cylinder in grounded casing (mesh 401 x 401).
34. Three cylinders in grounded casing (mesh 401 x 401).
35. Smooth 'S' shaped electrode (mesh 401 x 401).
36. Plane triode (version A) (mesh 401 x 401).
37. Plane triode (version B) (mesh 401 x 401).
38. Faraday's cup (version A) (mesh 161 x 181).
39. Faraday's cup (version B) (mesh 161 x 181).
40. Faraday's cup (version C) (mesh 161 x 181).
41. Faraday's cup (version D) (mesh 161 x 181).
42. Faraday's cup (version E) (mesh 161 x 181).
43. Faraday's cup (version F) (mesh 401 x 401).
44. Faraday's cup (version G) (mesh 401 x 401).
45. Faraday's cup (version H) (mesh 401 x 401).
46. Faraday's cup (version I) (mesh 401 x 401).
47. Pseudo - dipole (version A) (mesh 401 x 401).
48. Pseudo - dipole (version B) (mesh 401 x 401).
49. Pseudo - dipole (version C) (mesh 401 x 401).
50. Pseudo - dipole (version D) (mesh 401 x 401).
51. Two parallel plates in vacuum (inequal length, full symmetry) (mesh 400 x 400).
52. Electrostatic hexapole, 'asymmetrical', (version v1) (mesh 401 x 401).
53. Electrostatic hexapole, 'asymmetrical', (version v2) (mesh 401 x 401).
54. Electrostatic hexapole, 'asymmetrical', (version v3) (mesh 401 x 401).
55. Electrostatic hexapole, 'asymmetrical', (version v4) (mesh 401 x 401).
56. Square in circle (mesh 401 x 401).
57. Rectangle in circle (mesh 401 x 401).
58. Triangle in circle (version v1) (mesh 401 x 401).
59. Triangle in circle (version v2) (mesh 401 x 401).
60. Triangle in circle (version v3) (mesh 401 x 401).
61. Problem No. 61 - pre-defined mesh to bilinear intepolation testing.
62. Problem "imagined - P1" 3 plates in casing (version v1) (mesh 401 x 401).
63. Problem "imagined - P1" 3 plates in casing (version v2) (mesh 401 x 401).
64. Problem "imagined - P1" 4 plates in casing (version v3) (mesh 401 x 401).
65. Problem "imagined - P1" 4 plates in casing (version v4) (mesh 401 x 401).
66. Problem "imagined - P1" 5 plates in casing (version v5) (mesh 401 x 401).
67. Problem "imagined - P1" 5 plates in casing (version v6) (mesh 401 x 401).
68. Problem "imagined - P1" 5 plates in casing (version v7) (mesh 401 x 401).
69. Problem "imagined - P2" plates and cylinder in casing (version v1) (mesh 401 x 401).
70. Problem "imagined - P2" plates and cylinder in casing (version v2) (mesh 401 x 401).

Comparison of computation time (DEMO_XY) for two environments: Laptop and Desktop.

Desktop

CPU - Intel(R) Core(TM) i5-9500F 3.0 GHz (4.4 GHz max turbo frequency)
MS Windows 10 Pro
32GB RAM
SSD disk
MSYS2, UCRT64
gcc 14.2.0

Laptop (rather old, A.D. 2012)

Lenovo G580
CPU - Intel(R) Core(TM) i3-2370M 2.40 GHz
Linux Mint 21.1 Vera
Linux version 5.15.0-134-generic
6GB RAM
gcc 11.4.0

Command to measure process execution time (for problem No. 1):

Linux:

time -p ./DEMO_XY.run 1

Windows (MSYS2, UCRT64):

time -p ./DEMO_XY.exe 1

Exact values of measuments can vary +/- 0.5s.

Conclusions

• 12 years old laptop can perform single thread computations about 60 percent longer than modern desktop with twice higher CPU and RAM clock.
• However, sometimes this advantage disappears. Some configurations (e.g. octupole in a grounded housing) are calculated in a similar time.
• On Desktop enviromnent these results were possible to obtain thanks to new version of MinGW-w64. On older MinGW output operations were executed much slower and advantage was not such significant.
• Meshes with edges with fixed potentials (e.g. grounded casing) are calculated faster than meshes "open to the outside".
• Liebmann uses the simplest relaxation alghorithm. In the past, algorithm optimization was very important on slower computers.

DEMO_ZR - gallery

work in progress...

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