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arXiv 1309.0200astro-ph.GAphysics.flu-dyn
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湍流剪切流中发电机action的数值研究-- I

Numerical studies of dynamo action in a turbulent shear flow - I

Nishant K. Singh, Naveen Jingade

摘要:

我们进行数值实验,研究剪切发电机的问题,我们寻找大规模的磁场的增长,由于非螺旋搅拌在小尺度的背景线性剪切流,在以前未探索的参数制度。我们证明了大规模的发电机行动的限制时,流体雷诺数(${\rm Re}$)是低于统一的,而磁雷诺数(${\rm Rm}$)是高于统一的指数增长率与剪切成线性比例,这是与早期的数值工程。低${\rm Re}$的极限是特别有趣的,因为在这个极限中看到发电机作用将为进一步的理论研究提供足够的动力,这可能会将注意力集中在${\rm Re} < 1$的这个分析上更容易处理的极限上,而不是${\rm Re} > 1$的更强大的极限。我们还进行了模拟的制度时,(i)(${\rm Re}$,${\rm Rm}$)$< 1$ ;(ii)${\rm Re} > 1$和${\rm Rm} < 1$,并计算所有组件的湍流输运系数($α_{ij}$和$η_{ij}$)使用测试场方法。我们的结果与早期分析工作(Sridhar & Singh 2010; Singh & Sridhar 2011)的结果在类似的参数范围内具有相当好的一致性。

英文摘要:

We perform numerical experiments to study the shear dynamo problem where we look for the growth of large--scale magnetic field due to non--helical stirring at small scales in a background linear shear flow, in previously unexplored parameter regimes. We demonstrate the large--scale dynamo action in the limit when the fluid Reynolds number (${\rm Re}$) is below unity whereas the magnetic Reynolds number (${\rm Rm}$) is above unity; the exponential growth rate scales linearly with shear, which is consistent with earlier numerical works. The limit of low ${\rm Re}$ is particularly interesting, as seeing the dynamo action in this limit would provide enough motivation for further theoretical investigations, which may focus the attention to this analytically more tractable limit of ${\rm Re} < 1$ as compared to more formidable limit of ${\rm Re} > 1$. We also perform simulations in the regimes when, (i) both (${\rm Re}$, ${\rm Rm}$) $< 1$; (ii) ${\rm Re} > 1$ & ${\rm Rm} < 1$, and compute all components of the turbulent transport coefficients ($α_{ij}$ and $η_{ij}$) using the test--field method. A reasonably good agreement is seen between our results and the results of earlier analytical works (Sridhar & Singh 2010; Singh & Sridhar 2011) in the similar parameter regimes.

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