NUMERICAL COMPUTATION OF ELECTRIC FIELDS IN PRESENCE OF CURVILINEAR INTERFACE BETWEEN CONDUCTIVE AND NON-CONDUCTIVE MEDIA
Keywords:rounded tops, curvilinear borders, finite volume method, calculated grid, electric field intensity
AbstractPurpose. To elaborate a method of electric field numerical calculation in systems with curved boundaries between conductive and non-conductive mediums at final volume method usage and application of the rectangular grids. Methodology. At electric field calculation in quasi-stationary approximation, potential of the whole conductive object (rod) is constant. at final difference scheme writing, presence of the curved part of the boundary between conducting and non-conducting media has been taking into account as follows. It was supposed that curved section complements the closed loop on which integration of the solvable equation is done instead of a straight section which extends within a conducting medium. Usage of this approach allows taking into account square of the curved sections of the boundary and distance between surface of non-conductive medium and nearest nodes of the computational grid. Results. dependence of the maximum electric field intensity on the height and radius of curvature peaks rods has been got with the help of calculations. As a result, a polynomial approximation for the analytical expression of the external electric field intensity, upon which application to the conductive object of a certain height and radius of curvature of its top, corona discharges will develop.
Toal B., McMillen M., Murphy A., Atkinson R., Pollard R. Tuneable magneto-optical metamaterials based on photonic resonances in nickel nanorod arrays. Materials Research Express, 2014, no.1, рp. 1-11. doi: 10.1088/2053-1591/1/1/015801.
Bazelian E.M., Razhanskii I.M. Iskrovoi razriad v vozdukhe [Spark discharge in air]. Novosibirsk, Nauka Publ., 1988. 165 р. (Rus).
Samarskii A.A. Teoriia raznostnykh skhem [Theory of difference schemes]. Moscow, Nauka Publ., 1989. 616 р. (Rus).
Popov E., Nevière M., Gralak B., Tayeb G. Staircase approximation validity for arbitrary-shaped gratings. Journal of the Optical Society of America A, 2002, vol.19, no.1, pp. 33-42. doi: 10.1364/josaa.19.000033.
Gjonaj E., Lau T., Schnepp S., Wolfheimer F., Weiland T. Accurate modeling of charged particle beams in linear accelerators. New Journal of Physics, 2006, no.8, рp. 1-21. doi: 10.1088/1367-2630/8/11/285.
Taflove A., Hagness S. Computational electromagnetics: the finite difference time domain method. Boston – London: Artech House, 2000. – 852 p.
Rezinkina M.M. The calculation of the penetration of a low-frequency three-dimensional electric field into heterogeneous weakly conducting objects. Elektrichestvo – Electricity, 2003, no.8, рp. 50-55. (Rus).
Rezinkina M.M. Numerical calculation of the magnetic field and magnetic moment of ferromagnetic bodies with a complex spatial configuration. Technical Physics, 2009, vol.54, no.8, pp. 1092-1101. doi: 10.1134/S1063784209080027.
Tamm I.E. Osnovy teorii elektrichestva [Bases of the theory of electricity]. Moscow, Nauka Publ., 1989. 504 р. (Rus).
Stretton Dzh.A. Teoriia elektromagnetizma [Theory of electromagnetism]. M.-L.: OGIZ, Gostekhizdat Publ., 1948. 539 р. (Rus).
Patankar S. Chislennye metody resheniia zadach teploobmena i dinamiki zhidkosti [Numerical methods of solution of problems of heat exchange and dynamics of liquid]. Moscow, Energoatomizdat Publ., 1984. 150 р. (Rus).
Cooray V. Lightning Protection. London: The Institution of Engineering and Technology, 2010. 1036 р.
Kuchinskii G.S., Kizevetter V.E., Pintal' Iu.S. Izoliatsiia ustanovok vysokogo napriazheniia [Isolation of installations of high tension]. Moscow, Energoatomizdat Publ., 1987. 368 р. (Rus).
How to Cite
Copyright (c) 2016 Ye. I. Sokol, M. M. Rezinkina, E. V. Sosina, O. G. Gryb
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
Authors who publish with this journal agree to the following terms:
1. Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
2. Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
3. Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work.