用于陀螺动力学模拟的线性化福克-普朗克碰撞模型

IF 2.1 2区 物理与天体物理 Q2 PHYSICS, FLUIDS & PLASMAS Plasma Physics and Controlled Fusion Pub Date : 2024-09-09 DOI:10.1088/1361-6587/ad6c7c
A von Boetticher, F I Parra, M Barnes
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引用次数: 0

摘要

我们介绍了一种陀螺动力线性化福克-普朗克碰撞模型,它满足守恒定律,在任意碰撞度下都很精确。该算子的测试粒子微分部分是精确的;场粒子积分部分则使用球谐波和 Hirshman 和 Sigmar(1976 年物理流体 19 1532)开发的修正拉盖尔多项式展开来近似。讨论了在δf-动量代码 stella(Barnes 等人,2019 年,《计算物理学》,391 365-80)中的数值实现方法,并演示了算子的守恒特性。然后,在减小的测试粒子碰撞算子以及能量和动量守恒算子的极限情况下,将碰撞模型与陀螺动力学求解器 GS2 的碰撞模型进行基准比较。通过求解传输系数的并行 Spitzer-Härm 问题,研究了完整碰撞模型的准确性。结果表明,在场粒子算子中保留碰撞能量通量和高阶项,可将传输系数误差从简单动量和能量守恒模型的 10%-25%降低到 1%以下。
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Linearised Fokker–Planck collision model for gyrokinetic simulations
We introduce a gyrokinetic, linearised Fokker–Planck collision model that satisfies conservation laws and is accurate at arbitrary collisionalities. The differential test-particle component of the operator is exact; the integral field-particle component is approximated using a spherical harmonic and a modified Laguerre polynomial expansion developed by Hirshman and Sigmar (1976 Phys. Fluids 19 1532). The numerical methods of the implementation in the δf-gyrokinetic code stella (Barnes et al 2019 J. Comput. Phys. 391 365–80) are discussed, and conservation properties of the operator are demonstrated. The collision model is then benchmarked against the collision model of the gyrokinetic solver GS2 in the limiting cases of a reduced test-particle collision operator and energy- and momentum-conserving operator. The accuracy of the full collision model is investigated by solving the parallel Spitzer-Härm problem for the transport coefficients. It is shown that retaining collisional energy flux and higher-order terms in the field-particle operator reduces errors in the transport coefficients from 10%–25% for a simple momentum- and energy-conserving model to under 1%.
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来源期刊
Plasma Physics and Controlled Fusion
Plasma Physics and Controlled Fusion 物理-物理:核物理
CiteScore
4.50
自引率
13.60%
发文量
224
审稿时长
4.5 months
期刊介绍: Plasma Physics and Controlled Fusion covers all aspects of the physics of hot, highly ionised plasmas. This includes results of current experimental and theoretical research on all aspects of the physics of high-temperature plasmas and of controlled nuclear fusion, including the basic phenomena in highly-ionised gases in the laboratory, in the ionosphere and in space, in magnetic-confinement and inertial-confinement fusion as well as related diagnostic methods. Papers with a technological emphasis, for example in such topics as plasma control, fusion technology and diagnostics, are welcomed when the plasma physics is an integral part of the paper or when the technology is unique to plasma applications or new to the field of plasma physics. Papers on dusty plasma physics are welcome when there is a clear relevance to fusion.
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