Volume 28, Issue 3
Automatic Generation of Finite Difference Field Solvers for Toroidally Confined Plasmas

Jingbo Lin, Wenlu Zhang, Pengfei Liu, Jintao Cao & Ding Li

Commun. Comput. Phys., 28 (2020), pp. 1176-1188.

Published online: 2020-07

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  • Abstract

Flux coordinates and field-line coordinates are ubiquitous in magnetically confined plasma research. Most of these coordinates are essentially non-orthogonal curvilinear coordinates, in which the differential operators are rather complicated. This article reports an automatic tool, OpGen, for generating a finite difference coefficient matrix for field solvers by using a computer symbolic computation system. This tool is suitable for, but is not limited to, code development for toroidally confined plasmas.

  • Keywords

Mathematica, flux coordinates, finite difference, curvilinear coordinate.

  • AMS Subject Headings

52.55.Fa, 52.65.Tt, 52.65.Rr

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{CiCP-28-1176, author = {Jingbo Lin , and Wenlu Zhang , and Pengfei Liu , and Jintao Cao , and Ding Li , }, title = {Automatic Generation of Finite Difference Field Solvers for Toroidally Confined Plasmas}, journal = {Communications in Computational Physics}, year = {2020}, volume = {28}, number = {3}, pages = {1176--1188}, abstract = {

Flux coordinates and field-line coordinates are ubiquitous in magnetically confined plasma research. Most of these coordinates are essentially non-orthogonal curvilinear coordinates, in which the differential operators are rather complicated. This article reports an automatic tool, OpGen, for generating a finite difference coefficient matrix for field solvers by using a computer symbolic computation system. This tool is suitable for, but is not limited to, code development for toroidally confined plasmas.

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.OA-2017-0151}, url = {http://global-sci.org/intro/article_detail/cicp/17690.html} }
TY - JOUR T1 - Automatic Generation of Finite Difference Field Solvers for Toroidally Confined Plasmas AU - Jingbo Lin , AU - Wenlu Zhang , AU - Pengfei Liu , AU - Jintao Cao , AU - Ding Li , JO - Communications in Computational Physics VL - 3 SP - 1176 EP - 1188 PY - 2020 DA - 2020/07 SN - 28 DO - http://doi.org/10.4208/cicp.OA-2017-0151 UR - https://global-sci.org/intro/article_detail/cicp/17690.html KW - Mathematica, flux coordinates, finite difference, curvilinear coordinate. AB -

Flux coordinates and field-line coordinates are ubiquitous in magnetically confined plasma research. Most of these coordinates are essentially non-orthogonal curvilinear coordinates, in which the differential operators are rather complicated. This article reports an automatic tool, OpGen, for generating a finite difference coefficient matrix for field solvers by using a computer symbolic computation system. This tool is suitable for, but is not limited to, code development for toroidally confined plasmas.

Jingbo Lin, Wenlu Zhang, Pengfei Liu, Jintao Cao & Ding Li. (2020). Automatic Generation of Finite Difference Field Solvers for Toroidally Confined Plasmas. Communications in Computational Physics. 28 (3). 1176-1188. doi:10.4208/cicp.OA-2017-0151
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