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Title: An efficient transport solver for tokamak plasmas

A simple approach to efficiently solve a coupled set of 1-D diffusion-type transport equations with a stiff transport model for tokamak plasmas is presented based on the 4th order accurate Interpolated Differential Operator scheme along with a nonlinear iteration method derived from a root-finding algorithm. Here, numerical tests using the Trapped Gyro-Landau-Fluid model show that the presented high order method provides an accurate transport solution using a small number of grid points with robust nonlinear convergence.
Authors:
 [1] ;  [1] ;  [2] ;  [2] ;  [2] ;  [2]
  1. Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
  2. General Atomics, San Diego, CA (United States)
Publication Date:
Grant/Contract Number:
AC05-00OR22725; FC02-04ER54698
Type:
Accepted Manuscript
Journal Name:
Computer Physics Communications
Additional Journal Information:
Journal Volume: 214C; Journal ID: ISSN 0010-4655
Publisher:
Elsevier
Research Org:
Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States); General Atomics, San Diego, CA (United States)
Sponsoring Org:
USDOE Office of Science (SC), Fusion Energy Sciences (FES) (SC-24)
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY; 97 MATHEMATICS AND COMPUTING; plasma simulation; diffusion equation; transport; tokamak
OSTI Identifier:
1344254
Alternate Identifier(s):
OSTI ID: 1375926; OSTI ID: 1396489

Park, Jin Myung, Murakami, Masanori, St. John, H. E., Lao, Lang L., Chu, M. S., and Prater, Ronald. An efficient transport solver for tokamak plasmas. United States: N. p., Web. doi:10.1016/j.cpc.2016.12.018.
Park, Jin Myung, Murakami, Masanori, St. John, H. E., Lao, Lang L., Chu, M. S., & Prater, Ronald. An efficient transport solver for tokamak plasmas. United States. doi:10.1016/j.cpc.2016.12.018.
Park, Jin Myung, Murakami, Masanori, St. John, H. E., Lao, Lang L., Chu, M. S., and Prater, Ronald. 2017. "An efficient transport solver for tokamak plasmas". United States. doi:10.1016/j.cpc.2016.12.018. https://www.osti.gov/servlets/purl/1344254.
@article{osti_1344254,
title = {An efficient transport solver for tokamak plasmas},
author = {Park, Jin Myung and Murakami, Masanori and St. John, H. E. and Lao, Lang L. and Chu, M. S. and Prater, Ronald},
abstractNote = {A simple approach to efficiently solve a coupled set of 1-D diffusion-type transport equations with a stiff transport model for tokamak plasmas is presented based on the 4th order accurate Interpolated Differential Operator scheme along with a nonlinear iteration method derived from a root-finding algorithm. Here, numerical tests using the Trapped Gyro-Landau-Fluid model show that the presented high order method provides an accurate transport solution using a small number of grid points with robust nonlinear convergence.},
doi = {10.1016/j.cpc.2016.12.018},
journal = {Computer Physics Communications},
number = ,
volume = 214C,
place = {United States},
year = {2017},
month = {1}
}