非均匀笛卡尔坐标系网格优化频散相关保持格式研究

为克服传统频散相关保持格式 (即 DRP格式 )在数值求解非均匀网格问题时由于寄生波的产生而导致的数值不稳定的问题 ,Cheong &Lee提出了一种网格优化频散相关保持格式 (即 GODRP格式 )。根据其优化思想 ,在非均匀笛卡尔坐标系网格条件下 ,推导得到了更为通用的 GODRP格式优化系数公式。针对 Cheong&Lee文中算例比较不是在同一基准上进行的不足之处 ,设计了一个极端恶劣条件下的非均匀笛卡尔网格 ,采用 GODRP格式和 DRP格式分别求解了二维初始扰动波传播的算例。计算结果表明 ,由于 GODRP格式具有与网格相关的自带粘性 ,不用再另外加入人工粘性便可获得精度较高的数值结果 ,避免了传统 DRP格式在给定粘性时人为经验的影响因素。对于非均匀笛卡尔网格 ,GODRP格式确实比传统 DRP格式更加通用 ,并可以得到更为准确的数值模拟效果      

流固耦合动力学问题中大位移耦合界面条件的处理方法

本文讨论了流固耦合问题中的大位耦合界面条件的处理方法，边类界面条件包括移动斜面界面条件及移动曲面界面条件。计算了在水面的二维刚性浮体的非线性振动问题，证实了此处理方法的可行性，可以用来解决具有大位移耦合界面条件的非线性流固耦合动力学问题。     

全光纤陀螺信号处理技术研究

采用数字、模拟混合信号处理方法，模拟信号处理主要针对光源驱动、相位调制器(PZT)的控制、相位跟踪、探测器信号的滤波和解调进行，数字信号处理器(DsP)根据模拟解调信号进行Sagnac相移计算、相敏参考信号自动选择，以及大小量程分档控制。此方法可有效发挥模拟、数字信号处理的优点，提高光纤陀螺的总体性能。     

An algorithm to separate wind tunnel background noise from turbulent boundary layer excitation

Wall pressure fluctuations generated by Turbulent Boundary Layers(TBL) provide a significant contribution in reducing the structural vibration and the aircraft cabin noise. However,it is difficult to evaluate these fluctuations accurately through a wind tunnel test because of the pollution caused by the background noise generated by the jet or the valve of the wind tunnel. In this study, a new technology named Subsection Approaching Method(SAM) is proposed to separate the wall pressure fluctuations from the background noise induced by the jet or the valve for a transonic wind tunnel test. The SAM demonstrates good performance on separating the background noise from the total pressure compared to the other method in this study. The investigation considers the effects of the sound intensity and the decay factor on the sound-source separation. The results show that the SAM can derive wall pressure fluctuations effectively even when the level of background noise is considerably higher than the level of the wall pressure fluctuations caused by the TBL. In addition, the computational precision is also analyzed based on the broad band noise tested in the wind tunnel. Two methods to improve the precision of the computation with the SAM are also suggested: decreasing the loop gain and increasing the sensors for the signal analysis.     

Model of a fluxtube with a twisted magnetic field in the stratified solar atmosphere

We build a single vertical straight magnetic fluxtube spanning the solar photosphere and the transition region which does not expand with height. We assume that the fluxtube containing twisted magnetic fields is in magnetohydrostatic equilibrium within a realistic stratified atmosphere subject to solar gravity. Incorporating specific forms of current density and gas pressure in the Grad–Shafranov equation, we solve the magnetic flux function, and find it to be separable with a Coulomb wave function in radial direction while the vertical part of the solution decreases exponentially. We employ improved fluxtube boundary conditions and take a realistic ambient external pressure for the photosphere to transition region, to derive a family of solutions for reasonable values of the fluxtube radius and magnetic field strength at the base of the axis that are the free parameters in our model. We find that our model estimates are consistent with the magnetic field strength and the radii of Magnetic bright points (MBPs) as estimated from observations. We also derive thermodynamic quantities inside the fluxtube.     

基于变分模态分解的壁湍流拟序结构形态研究

应用多分量准二维变分模态分解技术,对直接数值模拟的湍流边界层的流向-法向平面进行了分解。通过对从低雷诺数到中等雷诺数(Reτ=400~1750)各个工况的瞬时流场的观察,定性地得到了不同模态所对应的物理结构特征。通过两点相关云图形态和倾斜角度的比较,定量地对比了不同模态对应的拟序结构倾角随法向高度的变化。一阶模态主要对应大尺度扫掠/喷射事件,第二阶模态则对应近壁流向涡结构。两阶模态的拟序结构倾角随法向高度的变化趋势与雷诺数呈弱相关,表明大小尺度模态的几何特征在所研究的雷诺数范围内存在自相似性。     

Direct numerical simulation of impinging shock wave and turbulent boundary layer interaction over a wavy-wall

The interaction of an impinging oblique shock wave with an angle of 30° and a supersonic turbulent boundary layer at Ma_∞=2.9 and Re_θ = 2400 over a wavy-wall is investigated through direct numerical simulation and compared with the interaction on a flat-plate under the same flow conditions. A sinusoidal wave with amplitude to wavelength ratio of 0.26 moves in the streamwise direction and is uniformly distributed across the spanwise direction. The influences of the wavy-wall on the interaction, including the characterization of the flow field, the skin-friction, pressure and the budget of turbulence kinetic energy, are systematically studied. The region of separation grows slightly and decomposes into four bubbles. Local peaks of skin-friction are observed at the rear part of the interaction region. The low-frequency shock motion can be seen in the wall pressure spectra. Analyses of the turbulence kinetic energy budget indicate that both diffusion and transport significantly increase near the crests, balanced by an amplified dissipation in the near-wall region. Proper orthogonal decomposition analyses show that the most energetic structures are associated with the separated shock and the shear layer over the bubbles. Only the bubbles in the first two troughs are dominated by a low-frequency enlargement or shrinkage.     

Resonant motion, ballistic escape, and their applications in astrodynamics

A special set of solutions governing the motion of a particle, subject to the gravitational attractions of the Earth, the Moon, and, eventually, the Sun, is discussed in this paper. These solutions, called resonant orbits, correspond to a special motion where the particle is in resonance with the Moon. For a restricted set of initial conditions the particle performs a resonance transition in the vicinity of the Moon. In this paper, the nature of the resonance transition is investigated under the perspective of the dynamical system theory and the energy approach. In particular, using a new definition of weak stability boundary, we show that the resonance transition mechanism is strictly related to the concept of weak capture. This is shown through a carefully computed set of Poincaré surfaces, at different energy levels, on which both the weak stability boundary and the resonant orbits are represented. It is numerically demonstrated that resonance transitioning orbits pass through the weak stability boundaries. In the second part of the paper the solar perturbation is taken into account, and the motion of the resonant orbits is studied within a four-body dynamics. We show that, for a wide class of initial conditions, the particle escapes from the Earth–Moon system and targets an heliocentric orbit. This is a free ejection called a ballistic escape. Astrodynamical applications are discussed.     

Layer-oriented Element Integration Algorithm of Conformal Perfectly Matched Layer

As an efficient artificial truncating boundary condition, conformal perfectly matched layer (CPML) is a kind of multilayer anisotropic absorbing media. To reduce computing effort of CPML, this article proposes a layer-oriented element integration algorithm. In this algorithm, the relative dielectric constant and permeability are considered as constants for each the very thin monolayer of CPML, and the element integration of multilayer along the normal direction is substituted by the element integration of monolayer. The CPML is divided into multilayer elements, whose element matrixes are evaluated by monolayer integration. Numerical examples show that the layer-oriented element integration algorithm is reliable and the CPML formed with this algorithm possesses high-efficient absorbing performance.