Regeneration of small eddies by data assimilation in turbulence.

Regeneration of small eddies by data assimilation in turbulence.
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DOI:
10.1103/physrevlett.94.014501
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发表时间:
2005-01
影响因子:
8.6
通讯作者:
K. Yoshida;J. Yamaguchi;Y. Kaneda
K. Yoshida;J. Yamaguchi;Y. Kaneda
中科院分区:
物理与天体物理1区
文献类型:
--
作者:
K. Yoshida;J. Yamaguchi;Y. Kaneda

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通过泰勒微尺度雷诺数高达179的纳维-斯托克斯湍流直接数值模拟(DNS),研究了湍流中大尺度涡的数据同化对小尺度涡的影响。DNSs表明,即使小尺度涡的数据在某个初始时刻丢失,在波数小于a的傅里叶模的条件下,小尺度涡的数据也可以从大尺度涡的数据中重新生成。临界波数k(*)不断同化,其中k(*)约为0.2eta(-1),eta与(nu(3)/epsilon)(1/4)相同,epsilon为平均能量耗散率,nu为粘度。
The effect of data assimilation of large-scale eddies on small-scale eddies in turbulence is studied by direct numerical simulations (DNSs) of Navier-Stokes turbulence with Taylor microscale Reynolds numbers up to 179. The DNSs show that even if the data of small-scale eddies are lost at some initial instant, they can be regenerated from the data of large-scale eddies under the condition that Fourier modes with wave number less than a critical wave number k(*) are continuously assimilated, where k(*) approximately 0.2eta(-1) with eta identical with(nu(3)/epsilon)(1/4), epsilon the mean energy dissipation rate, and nu the viscosity.