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A Meshfree Method versus Analytical Approach to the Solution of the Current Diffusion Equation (CROSBI ID 694853)

Prilog sa skupa u zborniku | sažetak izlaganja sa skupa | međunarodna recenzija

Sesnic, Silvestar ; Poljak, Dragan ; Slak, Jure ; Kosec, Gregor A Meshfree Method versus Analytical Approach to the Solution of the Current Diffusion Equation // 31st Symposium on Fusion Technology, Book of Abstracts. Zagreb, 2020. str. 161-161

Podaci o odgovornosti

Sesnic, Silvestar ; Poljak, Dragan ; Slak, Jure ; Kosec, Gregor

engleski

A Meshfree Method versus Analytical Approach to the Solution of the Current Diffusion Equation

The paper deals with the comparison of different approaches for the solution of the Current Diffusion Equation (CDE) which governs current diffusion inside a tokamak reactor. The CDE describes the current (or, equivalently, the magnetic field) diffusion through the plasma as a conductive medium and is derived by flux-averaging the Ohm’s law. This transport equation is usually tightly coupled with the equilibrium phenomena (the Grad-Shafranov equation). In this paper, CDE is solved via Meshfree method and an analytical approach, respectively. The Meshfree solution is obtained with a local strong form approach where differential operators are approximated using an augmented Radial basis functions generated finite differences method on scattered nodes. On the other hand, the analytical solution of the CDE is obtained by applying certain approximations to the equation. Namely, time derivative of a flux coordinate at the plasma boundary is neglected and current density driven by non-inductive sources is assumed to be zero. The particular solution of CDE is obtained in a generalized form, where auxiliary functions are transformed into polynomials of arbitrary order in a least-squares sense. The obtained results show the time evolution of the magnetic flux versus normalized flux coordinate. The results obtained via Meshfree method and analytical approach show similar behavior of the magnetic flux with largest discrepancy occurring at the edge of the plasma configuration for the early time period. The trade-off between different approaches is undertaken and the related results clearly demonstrate the validity and usefulness of Meshfree method for accurate numerical modeling of plasma physics phenomena as well as the applicability of analytical approach for benchmarking purposes.

Current Diffusion Equation ; Meshfree Method ; Analytical Approach

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Podaci o prilogu

161-161.

2020.

objavljeno

Podaci o matičnoj publikaciji

31st Symposium on Fusion Technology, Book of Abstracts

Zagreb:

Podaci o skupu

31st Symposium on Fusion Technology (SOFT 2020)

poster

20.09.2020-25.09.2020

online

Povezanost rada

Elektrotehnika, Fizika

Poveznice