MHD Spectroscopy of Transonic Flows

In previous publications (Keppens et al.: 2002, Astrophys. J. 569, L121; Goedbloed et al.: 2004a, Phys. Plasmas 11, 28), we have demonstrated that stationary rotation of magnetized plasma about a compact central object permits an enormous number of different MHD instabilities, with the well-known magneto-rotational instability (Velikhov, E. P.: 1959, Soviet Phys.–JETP Lett. 36, 995; Chandrasekhar, S.: 1960, Proc. Natl. Acad. Sci. U.S.A. 46, 253; Balbus, S. A. and Hawley, J. F.: 1991, Astrophys. J. 376, 214) as just one of them. We here concentrate on the new instabilities found that are driven by transonic transitions of the poloidal flow. A particularly promising class of instabilities, from the point of view of MHD turbulence in accretion disks, is the class of trans-slow Alfv’en continuum modes, that occur when the poloidal flow exceeds a critical value of the slow magnetosonic speed. When this happens, virtually every magnetic/flow surface of the disk becomes unstable with respect to highly localized modes of the continuous spectrum. The mode structures rotate, in turn, about the rotating disk. These structures lock and become explosively unstable when the mass of the central object is increased beyond a certain critical value. Their growth rates then become huge, of the order of the Alfv’en transit time. These instabilities appear to have all requisite properties to facilitate accretion flows across magnetic surfaces and jet formation.     

High-order implicit discontinuous Galerkin schemes for unsteady compressible Navier–Stokes equations

Efficient solution techniques for high-order temporal and spatial discontinuous Galerkin(DG) discretizations of the unsteady Navier–Stokes equations are developed. A fourth-order implicit Runge–Kutta(IRK) scheme is applied for the time integration and a multigrid preconditioned GMRES solver is extended to solve the nonlinear system arising from each IRK stage. Several modifications to the implicit solver have been considered to achieve the efficiency enhancement and meantime to reduce the memory requirement. A variety of time-accurate viscous flow simulations are performed to assess the resulting high-order implicit DG methods. The designed order of accuracy for temporal discretization scheme is validate and the present implicit solver shows the superior performance by allowing quite large time step to be used in solving time-implicit systems. Numerical results are in good agreement with the published data and demonstrate the potential advantages of the high-order scheme in gaining both the high accuracy and the high efficiency.     

非均匀来流下三维激波反问题的微元密切轴对称解法

传统的密切轴对称理论被广泛应用于均匀来流下的三维密切曲面激波反设计，为解决非均匀来流条件下的三维曲面激波反问题，提出了一种微元密切轴对称流场（MOA）求解方法。该方法沿激波面的周向和流向构建一系列微元密切面，在每个微元面内进行三维向二维流动的等效转换，从而突破了传统密切方法中不能有横向波后流动的限制。利用该方法编写设计程序，分别基于带攻角来流条件和外锥型流来流条件重构了标准内锥曲面激波，并与数值仿真结果进行了比较。结果表明，非均匀来流下激波曲面的三维形状均与预设形状完全一致，实现了非均匀来流下曲面激波形状可控。MOA方法在吸气式高超声速推进领域中前体/进气道一体化设计方面有重要应用前景。     

飞机机翼表面霜冰的三维数值模拟

基于欧拉两相流理论对三维情况下飞机机翼表面的霜冰进行了数值模拟.根据水滴拟流体模型建立三维水滴控制方程;提出一套水滴控制方程的数值求解方法;由三维水滴流场的求解结果计算机翼表面的水滴收集特性,提出一种三维积冰外形的生成方法,完成了对飞机机翼表面霜冰的三维数值模拟.对ONERA M6机翼在不同迎角下霜冰的积冰情况进行了数值预测,并分析了结冰条件对积冰的影响.      

倾斜单孔射流轨迹与速度分布的研究

本文采用实验和数值模拟的方法,在吹风比分别为0．5、1．0、1．5、2．0的情况下,研究了圆柱单孔二次射流的贴壁性及速度分布。通过对比不同截面位置的流动轨迹和速度分布,发现圆柱孔射流流场的速度分布与圆柱扰流流场的类似。射流出口的最大速度并不位于射流孔中心位置,u值也不是在射流孔中心位置最高。     

Numerical simulation of compression corner flows at Mach number 9

A hypersonic vehicle encounters a wide range of conditions during its complete flight regime. These flight conditions may vary from low to high Mach numbers with varying angles of attack. The near-wall viscous dissipation associated with flows at combined high Mach and Reynolds numbers leads to significant wall heat transfer rates and shear stresses. The shock wave/boundary-layer interaction results in a flow separation region, which commonly augments total pressure losses in the flow and lowers the efficiency of aerodynamic control surfaces such as fins installed on a vehicle. The standard turbulence models, when used to resolve such flows, result in incorrect separation bubble size for large separated flows. Therefore, it results in an inaccurate aerodynamic load, such as the wall pressures, skin friction distribution, and heat transfer rate. In previous studies, the application of the shock-unsteadiness correction to the standard two-equation k-ω turbulence model improved the separation bubble size leading to an accurate pressure prediction and shock definition with the assumption of constant Prandtl number. In the present work, the new shock-unsteadiness modification to the k-ω turbulence model is applied to the hypersonic compression corner flows. This new model with variable Prandtl number is based on the model parameter, which depends upon the local density ratio. The computed wall pressures, heat flux and flow field are compared to the experimental data. A parametric study is carried out by varying compression deflection angles, free stream Reynolds number and wall temperatures to compute the flow field and wall data accurately, particularly in the shock boundary layer interaction region. The new shock-unsteadiness modified k-ω model with variable Prandtl number shows an accurate prediction of initial pressure rise location, pressure distribution in the plateau region and heat flux in comparison to the standard k-ω model.     

时间矢量推进方法及其在叶轮机非定常流分析中的应用

为提高周期性非定常流动的求解效率,将非定常计算的初值问题转换为边值问题,提出了时间矢量推进方法,并将该方法应用于叶轮机多排的非定常流动分析中。通过对两排对转风扇进行非定常仿真,并对比双时间步计算方法的计算结果,讨论了新方法的计算效率,研究了该方法对排间干扰捕捉的准确性和可靠性。得到了以下结论:在物理时间步长相等的情况下,新方法与双时间步方法的计算结果基本一致,且计算时间约为双时间步方法的1/8;时间矢量推进方法能够很好捕捉排间的势扰动、熵扰动和涡扰动以及主流和扰动之间的非线性作用;时刻样本数较少会使时间矢量推进方法捕捉到的非定常变化幅值变小,且无法解析时间尺度较小的非定常流动现象。     

大迎角涡流的同步迭代算法

 基于多重线涡模型(MLVM),本文建立了一种计算机时少、收敛性强的适用于大迎角涡流势流数值模拟的迭代算法。采用本文算法,首次得到了迎角直到60°的旋转体涡流的收敛解。计算出的空气动力数据与实验结果吻合。     

水下固体火箭发动机尾流场计算

采用了二维定常气流场模型和轴对称理想水流场模型,对水下工作固体火箭发动机尾流场进行了耦合数值求解。考虑了高温燃气与水介质之间传热、汽化等对内部气体流动的影响,数值模拟了尾流场中压强、温度在发动机尾流场中沿轴向、径向的分布规律和特征及参数变动对喷管性能的影响,所获得的流场压强、温度分布规律可为水下工作固体发动机设计提供依据。     

二元内流通道内湍流附面层分离的数值与实验研究

本文应用激光多普勒测速仪测量了二维扩压器中不可压湍流附面层分离流动,得到了时均速度和表面压强分布,表面摩擦系数和时均速度分布经验关系式做了比较。预测中采用准同时粘性/无粘流匹配模型,并比较了两种形状因子H_1经验关系式所得预测结果。在最大反流以前,所预测的附面层位移厚度及形状因子与实验吻合。