Spectra of Energy Dissipation, Enstrophy and Pressure by High-Resolution Direct Numerical Simulations of Turbulence in a Periodic Box
Spectra of Energy Dissipation, Enstrophy and Pressure by High-Resolution Direct Numerical Simulations of Turbulence in a Periodic Box
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DOI：
10.1143/jpsj.72.983
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发表时间：
2003-05
影响因子：
1.7
通讯作者：
T. Ishihara;Y. Kaneda;M. Yokokawa;K. Itakura;Atsuya Uno
中科院分区：
文献类型：
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作者：
T. Ishihara;Y. Kaneda;M. Yokokawa;K. Itakura;Atsuya Uno
利用直接数值模拟（DNSs）获得的网格点数为2048 3的周期性盒内不可压湍流的数据，测量了单位质量能量耗散率e、涡度拟能ω 2和压力p等速度二次函数的平方谱.这些模拟是使用地球模拟器计算系统进行的。e、ω 2和p的光谱显示出一个波数范围，其中光谱与波数k成比例，如λ k-a。p的指数a约为1.81，这与假设速度场的联合概率分布为高斯分布所得到的值非常一致，而e和ω 2的a值约为2/3，与高斯近似值相差很大。
The spectra of the squares of velocity quadratics including the energy dissipation rate e per unit mass, the enstrophy ω 2 and the pressure p were measured using the data obtained from direct numerical simulations (DNSs) of incompressible turbulence in a periodic box with number of grid points up to 2048 3 . These simulations were performed using the Earth Simulator computing system. The spectra for e, ω 2 and p exhibited a wave number range in which the spectra scaled with the wave number k as ∝ k - a . Exponent a for p was about 1.81, which is in good agreement with the value obtained by assuming the joint probability distribution of the velocity field to be Gaussian, while a values for e and ω 2 were about 2/3, and very different from the Gaussian approximation values.