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A Finite Element Versus Analytical Approach to the Solution of the Current Diffusion Equation in Tokamaks
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SYSNO ASEP 0489526 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title A Finite Element Versus Analytical Approach to the Solution of the Current Diffusion Equation in Tokamaks Author(s) Šesnic, S. (HR)
Dorić, V. (HR)
Poljak, D. (HR)
Šušnjara, A. (HR)
Artaud, J.F. (FR)
Urban, Jakub (UFP-V) RIDSource Title IEEE Transactions on Plasma Science. - : Institute of Electrical and Electronics Engineers - ISSN 0093-3813
Roč. 46, č. 4 (2018), s. 1027-1034Number of pages 8 s. Publication form Print - P Language eng - English Country US - United States Keywords Finite element analysis ; Tokamaks ; current diffusion equation (CDE) ; finite-element method (FEM) Subject RIV BL - Plasma and Gas Discharge Physics OECD category Fluids and plasma physics (including surface physics) R&D Projects 8D15001 GA MŠMT - Ministry of Education, Youth and Sports (MEYS) Institutional support UFP-V - RVO:61389021 UT WOS 000429969500024 EID SCOPUS 85044339345 DOI 10.1109/TPS.2018.2811858 Annotation This paper deals with two efficient approaches for solving the current diffusion equation (CDE), which governs current diffusion through the conductive plasma inside a tokamak and compares them to CRONOS tokamak simulation suite, as well. Namely, CDE is solved via the finite-element method (FEM) and an analytical technique, respectively, and the obtained results are subsequently compared with the solution obtained from the state-of-the-art CRONOS suite with finite-difference calculations. The tradeoff between different approaches has been undertaken. The results obtained via the FEM approach (with Hermite basis function, in particular) show very good agreement with the CRONOS results, while also providing the stability of the solution. On the other hand, the results obtained via the analytical solution clearly demonstrate a good agreement with the numerical results in the edge region, which makes it very useful for various applications. Workplace Institute of Plasma Physics Contact Vladimíra Kebza, kebza@ipp.cas.cz, Tel.: 266 052 975 Year of Publishing 2019
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