AI 中文总结
本文在ITPA TAE基准案例中对TEK代码开展线性与非线性基准测试，其非线性结果与解析理论吻合，为未来代码间非线性基准提供了数据。
AI 中文摘要
本文在ITPA-EP组为代码基准选择的简单托卡马克构型中，对新的回旋动理学代码TEK在模拟高能粒子（EP）驱动的环向阿尔芬本征模（TAE）方面进行了基准测试。其他代码已很好地建立了线性基准，但该案例的非线性基准仍有所欠缺。本文除线性基准外，还给出了单n和多n模拟（n为环向模数）的非线性结果。这些非线性结果与阿尔芬本征模驱动的区域场拍频的解析理论吻合良好，部分验证了非线性模拟的正确性。本文还研究了饱和水平及由此产生的EP输运，为未来的代码间非线性基准提供了数据。TEK采用回旋动理学模型（电子处于零拉莫尔半径极限）平等处理所有粒子种类（电子、热离子、EP），通过混合变量回拉方法缓解了电磁抵消问题，并讨论了与电磁回旋动理学模拟相关的数值细节。
英文摘要
A new gyrokinetic code, TEK, was benchmarked in simulating energetic particle (EP) driven toroidal Alfven eigenmodes (TAEs) in the simple tokamak configuration chosen by the ITPA-EP group for code benchmarking purpose. Linear benchmark has been well established by other codes, whereas nonlinear benchmark for this case is lacking. This paper presents, besides the linear benchmark, nonlinear results for both single-n and multiple-n simulations (n is the toroidal mode number). The nonlinear results are in good agreement with an analytical theory on zonal field beat-driven by Alfven eigenmodes, partially verifying correctness of the nonlinear simulations. The saturation level and the resulting EP transport are examined. This provides data for future inter-code nonlinear benchmarking. In TEK, all species (electrons, thermal ions, EPs) are treated on the same footing using the gyrokinetic model (with electrons in the zero Larmor radius limit). The electromagnetic cancellation problem is mitigated by using the mixed-variable pullback method. Numerical details related to electromagnetic gyrokinetic simulation are discussed.
