Virial relations for elongated plasmas in tokamaks: Analytical approximations and numerical calculations

IF 2 3区物理与天体物理 Q3 PHYSICS, FLUIDS & PLASMAS

Physics of Plasmas Pub Date : 2024-08-02 DOI:10.1063/5.0221175

A. A. Martynov, V. D. Pustovitov

引用次数: 0

Abstract

Using the SPIDER code, three series of calculations of plasma equilibrium in a tokamak are performed—with low, medium, and high pressure. In each series, the cross section is purely elliptical with elongation varying from K=1 (circular plasma) to K=2.4. For these configurations, the integrals S1÷S3 defining the right-hand sides of the virial relations in Lao et al. [Nucl. Fusion 25, 1421 (1985)] are calculated. Their dependences on plasma parameters, elongation K of magnetic surfaces, and radial derivatives of K and Shafranov shift Δ are analyzed. The accuracy of analytical expressions for S1÷S3 proposed in Pustovitov [Phys. Plasmas 29, 092507 (2022)] is assessed.

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托卡马克中拉长等离子体的室温关系：分析近似和数值计算

利用 SPIDER 代码，对托卡马克中的等离子体平衡进行了低压、中压和高压三个系列的计算。在每个系列中，横截面都是纯椭圆形，伸长率从 K=1（圆形等离子体）到 K=2.4 不等。对于这些构型，计算了定义 Lao 等人[Nucl. Fusion 25, 1421 (1985)]中病毒式关系右侧的积分 S1÷S3。分析了它们与等离子体参数、磁面伸长率 K 以及 K 的径向导数和沙弗拉诺夫偏移 Δ 的关系。评估了 Pustovitov [Phys. Plasmas 29, 092507 (2022)]提出的 S1÷S3 分析表达式的准确性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Physics of Plasmas 物理-物理：流体与等离子体

CiteScore

4.10

自引率

22.70%

发文量

653

审稿时长

2.5 months

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