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arXiv 1807.04779physics.plasm-ph
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多时间尺度Turbulence -输运耦合方法在随机扰动下的研究

Investigation of a Multiple-Timescale Turbulence-Transport Coupling Method in the Presence of Random Fluctuations

Jeffrey B. Parker, Lynda L. LoDestro, Alejandro Campos

摘要:

改进磁约束聚变反应堆预测建模的一条途径是将输运求解器与湍流的直接数值模拟(DNS)相耦合,而不是与替代模型相耦合。直接与DNS耦合带来的另一个挑战是湍流中的固有波动,这限制了传输求解器中可实现的收敛。在这篇文章中,我们研究了一种数值耦合方法在湍流脉动存在下的性能。为了测试一个特定的数值耦合方法的运输求解器,我们使用自回归移动平均模型,有效地产生随机波动的统计特性类似于那些gyrokinetic模拟。这些波动,然后添加到一个简单的,可解的问题,我们研究的耦合方法的行为。我们发现,监测残差作为误差的代理可能会产生误导。从务实的角度来看,这项研究有助于我们在运输耦合到DNS的全部问题,通过预测所需的平均量,以减少波动误差,并获得一个特定的精度水平。

英文摘要:

One route to improved predictive modeling of magnetically confined fusion reactors is to couple transport solvers with direct numerical simulations (DNS) of turbulence, rather than with surrogate models. An additional challenge presented by coupling directly with DNS is that the inherent fluctuations in the turbulence, which limit the convergence achievable in the transport solver. In this article, we investigate the performance of one numerical coupling method in the presence of turbulent fluctuations. To test a particular numerical coupling method for the transport solver, we use an autoregressive-moving-average model to efficiently generate stochastic fluctuations with statistical properties resembling those of a gyrokinetic simulation. These fluctuations are then added to a simple, solvable problem, and we examine the behavior of the coupling method. We find that monitoring the residual as a proxy for the error can be misleading. From a pragmatic point of view, this study aids us in the full problem of transport coupled to DNS by predicting the amount of averaging required to reduce the fluctuation error and obtain a specific level of accuracy.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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