Numerical simulation of aerodynamic interaction for a tilt rotor aircraft in helicopter mode

A rotor CFD solver is developed for simulating the aerodynamic interaction phenomenon among rotor, wing and fuselage of a tilt rotor aircraft in its helicopter mode. The unsteady Navier–Stokes equations are discretized in inertial frame and embedded grid system is adopted for describing the relative motion among blades and nacelle/wing/fuselage. A combination of multi-layer embedded grid and ‘‘extended hole fringe" technique is complemented in original grid system to tackle grid assembly difficulties arising from the narrow space among different aerodynamic components, and to improve the interpolation precision by decreasing the cell volume discrepancy among different grid blocks. An overall donor cell searching and automatic hole cutting technique is used for grid assembly, and the solution processes are speeded up by introduction of Open MP parallel method. Based on this solver, flow fields and aerodynamics of a tilt rotor aircraft in hover are simulated with several rotor collective angles, and the corresponding states of an isolated rotor and rotor/wing/fuselage model are also computed to obtain reference solution.Aerodynamic interference influences among the rotor and wing/fuselage/nacelle are analyzed,and some meaningful conclusions are drawn.     

无碰撞激波的理想MHD模拟

采用了WENO格式数值求解一维理想MHD方程组，模拟了行星际无碰撞激波，研究了垂直无碰撞激波与行星际反向磁场结构和高密度等离子体团的相互作用过程，并与粒子模拟的结果进行比对，两者的结果非常类似．模拟结果表明，对涉及无碰撞激波的大部分现象中理想MHD模拟是准确且可行的，同时相对于粒子模拟又有很好的计算效率，便于扩展至二维或三维的情形．     

基于DDB的二维/轴对称三波交汇流场数值模拟

采用运动间断边界拟合算法,在运动网格下求解二维与轴对称欧拉方程组,对脱体激波、锥面波、三波交汇等多种稳态波系进行数值模拟,精确得到了多种典型激波形状、波后流场及波系结构。本文提出的运动间断边界拟合算法,系基于经典计算流体力学方法、R-H运动间断条件、运动边界条件和Delaunay背景网格技术,由指定的网格块边界拟合待求激波,并以网格分块方式解决多道波相交问题。通过引入轴对称形式欧拉方程组,直接将此算法推广至轴对称流动领域,并精确拟合了锥面波相交问题。算法精度高,易于在CFD程序基础上实现,可用于超声速飞行器进气道压缩面、唇口设计以及乘波体设计。     

Implicit discontinuous Galerkin method on agglomerated high-order grids for 3D simulations

High quality of geometry representation is regarded essential for high-order methods to maintain their high-order accuracy. An agglomerated high-order mesh generating method is inves-tigated in combination with discontinuous Galerkin (DG) method for solving the 3D compressible Euler and Navier-Stokes equations. In this method, a fine linear mesh is first generated by standard commercial mesh generation tools. By taking advantage of an agglomeration method, a quadratic high-order mesh is quickly obtained, which is coarse but provides a high-quality geometry represen-tation, thus very suitable for high-order computations. High-order discretizations are performed on the obtained grids with DG method and the discretized system is treated fully implicitly to obtain steady state solutions. Numerical experiments on several flow problems indicate that the agglomer-ated high-order mesh works well with DG method in dealing with flow problems of curved geome-tries. It is also found that with a fully implicit discretized system and a p-sequencing method, the DG method can achieve convergence state within several time steps which shows significant effi-ciency improvements compared to its explicit counterparts.     

一类非线性微分方程组奇点稳定的条件

本文讨论了一类非线性电路微分方程组奇点稳定的条件,用线性近似的方法,讨论了方程组(1)中参数P*对奇点稳定性的影响,得到了奇点(P*/Ф,Ф)在P*相似文献   

Performance optimization of grooved slippers for aero hydraulic pumps

A computational fluid dynamics(CFD) simulation method based on 3-D Navier–Stokes equation and Arbitrary Lagrangian–Eulerian(ALE) method is presented to analyze the grooved slipper performance of piston pump.The moving domain of grooved slipper is transformed into a fixed reference domain by the ALE method,which makes it convenient to take the effects of rotate speed,body force,temperature,and oil viscosity into account.A geometric model to express the complex structure,which covers the orifice of piston and slipper,vented groove and the oil film,is constructed.Corresponding to different oil film thicknesses calculated in light of hydrostatic equilibrium theory and boundary conditions,a set of simulations is conducted in COMSOL to analyze the pump characteristics and effects of geometry(groove width and radius,orifice size) on these characteristics.Furthermore,the mechanics and hydraulics analyses are employed to validate the CFD model,and there is an excellent agreement between simulation and analytical results.The simulation results show that the sealing land radius,orifice size and groove width all dramatically affect the slipper behavior,and an optimum tradeoff among these factors is conducive to optimizing the pump design.     

扩散抛物化(DP)NS方程组的意义及其在计算流体力学中的应用

本文首先讨论扩散抛物化（DP）NS方程组的早期研究工作：它的提出、数学性质、意义和在CFD中的应用，然后讨论扩散抛物化理论的一些新发展。这些新发展是对NS方程组数值计算进行物理分析的基础上得到的，其中包括NS方程组差分计算时，粘性剪切流对网格间距和格式精度的要求；粘性项只保留剪切项的广义扩散抛物化（GDP）NS方程组，它的性质和应用。由于高Re数流动在NS方程组的差分计算中，网格Re数彼此相差悬殊的特点，产生了计算离散单元守恒方程组的新的算法思路，即离散流体力学（DFD）算法。在DFD算法中需要同时计算三种不同的守恒方程组（Euler,DPNS和NS方程组）。本文讨论了DFD算法中需要同时计算三种不同的守恒方程组（Euler,DPNS和NS方程组）。本文讨论了DFD格式的构造、它的优点和应用。并以超声速绕前后台阶流动为算例，来说明GDPNS方程组的用处和DFD算法的优点。DPNS方程组、GDPNS方程组、DFD算法是高智提出的，对这些问题，他的合作者从理论、算法、数值验证和某些应用又作了系统的研究。     

轴对称流中音速线附近的特征线方程

 从Ｏｓｗａｔｉｔｓｃｈ的无粘、跨音速、轴对称无旋流的基本方程出发,在细长体条件下,通过新变量将物理面上的运动方程变成形式简单的速度面方程。利用音速线附近条件对速度面方程进行积分,可得解析解；由此可按Ｃｏｕｒａｎｔ理论推导出音速线附近的特征线方程,结果表明,特征线有两族,均为２／３次幂曲线,其数学形式与平面流相同。     

Navier—Stokes（NS）方程组差分计算中的物理和网格尺度效应及NS方程组的简化

对于高Re数流动计算，在通常二阶精度NS差分格式和网格数条件下，存在某些粘性项落入修正微分方程截断误差项的问题。这类NS方程组计算实际是计算某种简化NS方程组，而且重复计算误差物理粘性项既浪费机时和内存，误差积累又会对数值解产生不可预测的影响，避免外述缺陷的办法一个提高NS差分格式的精度，另一个是丢掉可能落入截断误差项的物理粘性项，把NS方程组简化为广义NS方程组，广义NS计算避免了误差物理粘性项误差积累对数值解的不可知影响，又可节省内存和机时，对高Re数流体工程计算很有好处。利用广义NS方程组计算超声速绕前向和后向台阶流动的结果表明：广义NS方程组与NS方程组的数值结果很好相符符。