Model of Hydromagnetic Turbulence in Accretion Disks

紊流模型必须考虑紊流的非均匀性和非定常效应，才能用于研究吸积盘的结构和振荡。考虑到这一点，我们用Boltzmann方程（Kato和Inagaki）描述湍流的聚集，构建了一个盘内流体动力湍流模型。接下来，我们通过二阶闭包建模（Kato）推导出一个满足上述要求的流体动力湍流模型。用湍流理论中已知的标准方法来模拟压力染色张量。所得结果是玻尔兹曼方程法所得结果的推广。上述二阶闭包模型推广到流体磁湍流的模型（Kato和Yoshizawa）。在此模型中，必须将水动力湍流中通常的压力-染色相关性模型推广到水磁情况。此外，代表动态湍流和磁湍流之间相互作用的三阶相关应该建模。我们使用直接相互作用近似来建立这些模型。这个流体磁湍流模型的结果被提交给了一本杂志。

Models of turbulence which can be applied to studying structure and oscillations of accretion disks must be those in which effects of inhomogeneity and nonsteadiness of turbulence are included in the modeling. Considering this point, we construct a model of hydrodynamic turbulence in disks by decribing the aggregate of turbulence by the Boltzmann equation (Kato and Inagaki) .Next, we derive a madel of hydrodynamic turbulence satisfying the above requirements by a second-order closure modeling (Kato) . The pressure-stain tensor is modeled by a stadard way known in turbulence thory. The results is found to be an extension of those obtained by the method of Boltzmann equation.The second-order closure modeling mentioned above is extended to a modeling of hydromagnetic turbulence (Kato and Yoshizawa) . In this modeling, a usual modeling of the pressure-stain correlation in hydrodynomic turbulence must be extended to hydromagnetic case. Furthermore, a third-order correlation representing an interaction between dynamic turbulence and magnetic one should be modeled. We made these modeling by using the direct interaction approximation. The results of this modeling of hydromagnetic turbulence was submitted to a journal.