Volume 24, Issue 3
Development of Finite Element Field Solver in Gyrokinetic Toroidal Code

Hongying Feng, Wenlu Zhang, Zhihong Lin, Xiaohe Zhufu, Jin Xu, Jintao Cao & Ding Li

Commun. Comput. Phys., 24 (2018), pp. 655-671.

Published online: 2018-05

[An open-access article; the PDF is free to any online user.]

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  • Abstract

A new finite element (FE) field solver has been implemented in the gyrokinetic toroidal code (GTC) in attempt to extend the simulation domain to magnetic axis and beyond the last closed flux surface, which will enhance the capability the GTC code since the original finite difference (FD) solver will lose its capability in such circumstances. A method of manufactured solution is employed in the unit fidelity test for the new FE field solver, which is then further verified through integrated tests with three typical physical cases for the comparison between the new FE field solver and the original finite difference field solver. The results by the newly implemented FE field solver are in great accord with the original solver.

  • Keywords

Finite element method, finite difference method, Poisson equation, GTC.

  • AMS Subject Headings

68U20, 65C20, 35J05

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{CiCP-24-655, author = {}, title = {Development of Finite Element Field Solver in Gyrokinetic Toroidal Code}, journal = {Communications in Computational Physics}, year = {2018}, volume = {24}, number = {3}, pages = {655--671}, abstract = {

A new finite element (FE) field solver has been implemented in the gyrokinetic toroidal code (GTC) in attempt to extend the simulation domain to magnetic axis and beyond the last closed flux surface, which will enhance the capability the GTC code since the original finite difference (FD) solver will lose its capability in such circumstances. A method of manufactured solution is employed in the unit fidelity test for the new FE field solver, which is then further verified through integrated tests with three typical physical cases for the comparison between the new FE field solver and the original finite difference field solver. The results by the newly implemented FE field solver are in great accord with the original solver.

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.OA-2017-0139}, url = {http://global-sci.org/intro/article_detail/cicp/12275.html} }
TY - JOUR T1 - Development of Finite Element Field Solver in Gyrokinetic Toroidal Code JO - Communications in Computational Physics VL - 3 SP - 655 EP - 671 PY - 2018 DA - 2018/05 SN - 24 DO - http://dor.org/10.4208/cicp.OA-2017-0139 UR - https://global-sci.org/intro/cicp/12275.html KW - Finite element method, finite difference method, Poisson equation, GTC. AB -

A new finite element (FE) field solver has been implemented in the gyrokinetic toroidal code (GTC) in attempt to extend the simulation domain to magnetic axis and beyond the last closed flux surface, which will enhance the capability the GTC code since the original finite difference (FD) solver will lose its capability in such circumstances. A method of manufactured solution is employed in the unit fidelity test for the new FE field solver, which is then further verified through integrated tests with three typical physical cases for the comparison between the new FE field solver and the original finite difference field solver. The results by the newly implemented FE field solver are in great accord with the original solver.

Hongying Feng, Wenlu Zhang, Zhihong Lin, Xiaohe Zhufu, Jin Xu, Jintao Cao & Ding Li. (2020). Development of Finite Element Field Solver in Gyrokinetic Toroidal Code. Communications in Computational Physics. 24 (3). 655-671. doi:10.4208/cicp.OA-2017-0139
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