Implementation of field-aligned coordinates in a semi-Lagrangian gyrokinetic code for tokamak turbulence simulation

Lei YE (叶磊); Xiaotao XIAO (肖小涛); Yingfeng XU (徐颖峰); Zongliang DAI (戴宗良); Shaojie WANG (王少杰)

doi:10.1088/2058-6272/aac013

Plasma Science and Technology > 2018 > 20(7): 74008-074008. > DOI: 10.1088/2058-6272/aac013

Lei YE (叶磊), Xiaotao XIAO (肖小涛), Yingfeng XU (徐颖峰), Zongliang DAI (戴宗良), Shaojie WANG (王少杰). Implementation of field-aligned coordinates in a semi-Lagrangian gyrokinetic code for tokamak turbulence simulation[J]. Plasma Science and Technology, 2018, 20(7): 74008-074008. DOI: 10.1088/2058-6272/aac013

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Implementation of field-aligned coordinates in a semi-Lagrangian gyrokinetic code for tokamak turbulence simulation

¹ Institute of Plasma Physics, Chinese Academy of Science, Hefei 230031, People’s Republic of China
²Department of Modern Physics, University of Science and Technology of China, Hefei 230026, People’s Republic of China

Funds: This work is supported by National Natural Science Foun- dation of China under Grant Nos. 11505240, 11375196 and 11405174, and the National ITER program of China under Contract No. 2014GB113000.

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Received Date: December 20, 2017

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Abstract

Abstract

Field-aligned coordinates have been implemented in the gyrokinetic semi-Lagrangian code NLT, Ye et al (2016 J. Comput. Phys. 316 180), to improve the computational efficiency for the numerical simulations of tokamak turbulence and transport. 4D B-spline interpolation in field-aligned coordinates is applied to solve the gyrokinetic Vlasov equation. A fast iterative algorithm is proposed for efficiently solving the quasi-neutrality equation. A pseudo transform method is used for the numerical integration of the gyro-average operator for perturbations with a high toroidal mode number. The new method is shown to result in an improved code performance for reaching a given accuracy. Some numerical tests are presented to illustrate the new methods.
- gyrokinetic simulation,
- field-aligned coordinates,
- quasi-neutrality equation,
- iterative algorithm,
- gyro-average operator

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References

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Implementation of field-aligned coordinates in a semi-Lagrangian gyrokinetic code for tokamak turbulence simulation