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首页> 外文期刊>Journal of Computational Physics >High order accurate and low dissipation method for unsteady compressible viscous flow computation on helicopter rotor in forward flight
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High order accurate and low dissipation method for unsteady compressible viscous flow computation on helicopter rotor in forward flight

机译：直升机旋翼向前飞行中非定常可压缩粘性流计算的高阶精度低耗散方法

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摘要

An improved fifth-order weighted essentially non-oscillatory (WENO-Z) scheme combined with the moving overset grid technique has been developed to compute unsteady compressible viscous flows on the helicopter rotor in forward flight. In order to enforce periodic rotation and pitching of the rotor and relative motion between rotor blades, the moving overset grid technique is extended, where a special judgement standard is presented near the odd surface of the blade grid during search donor cells by using the Inverse Map method. The WENO-Z scheme is adopted for reconstructing left and right state values with the Roe Riemann solver updating the inviscid fluxes and compared with the monotone upwind scheme for scalar conservation laws (MUSCL) and the classical WENO scheme. Since the WENO schemes require a six point stencil to build the fifth-order flux, the method of three layers of fringes for hole boundaries and artificial external boundaries is proposed to carry out flow information exchange between chimera grids. The time advance on the unsteady solution is performed by the full implicit dual time stepping method with Newton type LU-SGS subiteration, where the solutions of pseudo steady computation are as the initial fields of the unsteady flow computation. Numerical results on non-variable pitch rotor and periodic variable pitch rotor in forward flight reveal that the approach can effectively capture vortex wake with low dissipation and reach periodic solutions very soon.
机译：已经开发了一种改进的五阶加权基本非振荡（WENO-Z）方案，并结合了移动过冲网格技术，以计算前向飞行中直升机旋翼上的不稳定的可压缩粘性流。为了强制执行转子的周期性旋转和俯仰以及转子叶片之间的相对运动，扩展了移动过冲栅格技术，其中使用逆映射在搜索施主单元期间在叶片栅格的奇数表面附近提出了一种特殊的判断标准。方法。采用Roe Riemann求解器更新无粘性通量的WENO-Z方案来重构左右状态值，并与标量守恒律的单调迎风方案（MUSCL）和经典WENO方案进行比较。由于WENO方案需要一个六点模版来构建五阶通量，因此提出了三层条纹用于孔边界和人工外部边界的方法，以在嵌合网格之间进行流信息交换。非稳态解的时间提前是通过牛顿型LU-SGS子迭代的完全隐式双时间步长方法进行的，其中伪稳态计算的解作为非稳态流计算的初始场。对前向变桨距转子和周期变桨距转子的数值研究表明，该方法可以有效地捕获低耗散涡流，并很快达到周期解。

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