【摘要】 本文发展了一种计算非定常无粘可压缩流动的高分辨率格式。通量计算采用AUSMPW+Rie-mann求解器,其中使用了基于单调性的压力加权函数f,并与Roe Riemann求解器进行比较。为提高精度,使用五阶WENO格式进行左右状态插值,且时间推进采用三阶TVD Runge-Kutta方法。用该方法对移动接触间断问题、Sod激波管问题、二维激波反射问题和双马赫反射问题进行了数值计算,数值结果表明基于五阶WENO插值的AUSMPW+格式有很高的激波及接触间断分辨能力,并比基于五阶WENO插值的Roe格式有更高的计算效率。更多还原

【Abstract】 One high-resolution scheme is developed to compute unsteady,inviscid,compressible flows.In this paper,we are concerned about AUSMPW+ Riemann solver with the weighting function f based on pressure by considering monotonicity and compare it with Roe Riemann solver.For better accuracy,fifth-order WENO schemes are adopted to interpolate higher order left and right states across a cell interface.Third-order TVD Runge-Kutta method is used to advance the solution in time.The performance of the schemes has been assessed in four typical unsteady inviscid compressible flow problems: moving contact discontinuity problem,Sod’s problem,regular shock reflection,and double Mach reflection of a strong shock.AUSMPW+ scheme with fifth-order WENO schemes interpolation proves to have the great capabilities to capture shock and contact discontinuities with high resolution and be more efficient than Roe scheme.更多还原