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A Finite Element Versus Analytical Approach to the Solution of the Current Diffusion Equation in Tokamaks (CROSBI ID 250645)

Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija

Šesnić, Silvestar ; Dorić, Vicko ; Poljak, Dragan ; Šušnjara, Anna ; Artaud, Jean-Francois ; Urban, Jakub A Finite Element Versus Analytical Approach to the Solution of the Current Diffusion Equation in Tokamaks // Ieee transactions on plasma science, 46 (2018), 4; 1027-1034. doi: 10.1109/TPS.2018.2811858

Podaci o odgovornosti

Šesnić, Silvestar ; Dorić, Vicko ; Poljak, Dragan ; Šušnjara, Anna ; Artaud, Jean-Francois ; Urban, Jakub

engleski

A Finite Element Versus Analytical Approach to the Solution of the Current Diffusion Equation in Tokamaks

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 FEM solution is carried out featuring the use of linear and Hermite type shape functions, respectively, while the analytical solution is obtained by applying certain approximations to the CDE. The tradeoff between different approaches has been undertaken. Thus, 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, e.g., for benchmarking purposes.

Analytical solution ; current diffusion equation (CDE) ; finite-element method (FEM) ; tokamak devices

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Podaci o izdanju

46 (4)

2018.

1027-1034

objavljeno

0093-3813

1939-9375

10.1109/TPS.2018.2811858

Povezanost rada

Elektrotehnika, Fizika

Poveznice
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