论文标题
声学湍流的直接数值模拟:Zakharov-Sagdeev Spectrum
Direct numerical simulation of acoustic turbulence: Zakharov-Sagdeev spectrum
论文作者
论文摘要
我们介绍了较弱的正分散培养基中三维声学湍流的直接数值模拟的结果。结果表明,在$ k $空间中湍流能量分布中的长波长区域的开头,以窄锥的形式形成了喷气机。在较大的波数中,锥体宽阔,因此分布倾向于各向同性。在这个波数的区域中,角度平均的湍流频谱获得了幂律特征,$ e(k)\ propto k^{ - α} $,指数接近$ 3/2 $,与Zakharov-Sagdeev-Sagdeev弱的声性湍流谱相对应。
We present the results of direct numerical simulation of three-dimensional acoustic turbulence in medium with weak positive dispersion. It is shown that at the beginning of the long-wavelength region in the turbulence energy distribution in the $k$-space, there are formed jets in the form of narrow cones. At larger wavenumbers, the cones broaden, and the distribution accordingly tends to isotropic. In this region of wavenumbers, the angle-averaged turbulence spectrum acquires a power-law character, $E(k)\propto k^{-α}$, with the exponent close to $3/2$, which corresponds to the Zakharov-Sagdeev weak acoustic turbulence spectrum.