论文标题
DESC Stellarator代码套件第一部分:快速准确的平衡计算
The DESC Stellarator Code Suite Part I: Quick and accurate equilibria computations
论文作者
论文摘要
3D平衡代码对于恒星设计和运行至关重要,高智度平衡对于稳定性研究也是必要的。本文详细介绍了两个三维平衡代码VMEC的比较,该代码使用最陡峭的算法达到最小能量等离子体状态,而DESC则最小化了磁性水力动力学(MHD)力在真实空间中的误差。通过满足MHD力平衡的精度以及计算时间。结果表明,DESC能够实现更准确的解决方案,尤其是近轴。 DESC与渐近公式的稳定指标更好地达成了较高准确性平衡的重要性。 DESC的全局傅立叶型基础还可以在等离子体体积中明确地使用分析衍生物产生溶液,在径向方向与常规有限差异提供了提高的准确性,并允许指数收敛。此外,DESC可以在减少数量级的时间内计算与VMEC相同的精度解决方案。
3D equilibrium codes are vital for stellarator design and operation, and high-accuracy equilibria are also necessary for stability studies. This paper details comparisons of two three-dimensional equilibrium codes, VMEC, which uses a steepest-descent algorithm to reach a minimum-energy plasma state, and DESC, which minimizes the magnetohydrodynamic (MHD) force error in real space directly. Accuracy as measured by satisfaction of MHD force balance is presented for each code, along with the computation time. It is shown that DESC is able to achieve more accurate solutions, especially near-axis. The importance of higher accuracy equilibria is shown in DESC's better agreement of stability metrics with asymptotic formulae. DESC's global Fourier-Zernike basis also yields the solution with analytic derivatives explicitly everywhere in the plasma volume, provides improved accuracy in the radial direction versus conventional finite differences, and allows for exponential convergence. Further, DESC can compute the same accuracy solution as VMEC in an order of magnitude less time.