多维迎风方法在非结构/混合网格热流计算中的应用研究

非结构/混合网格具有极强的几何灵活性,在复杂外形飞行器的气动力特性数值模拟中已得到广泛应用,但目前还难以准确地预测气动热环境。本文从非结构/混合网格热流计算的三个需求出发,选取了多维迎风方法,并与其他方法进行了对比研究。以二维圆柱高超声速绕流这一Benchmark典型问题为例,对比研究了多维迎风方法和几种广泛使用的无粘通量格式(Roe格式、Van Leer格式和AUSMDV格式)对混合网格热流计算精度的影响。结果表明,多维迎风方法在热流计算精度、鲁棒性以及收敛性方面表现良好。最后,将多维迎风方法应用于常规混合网格上的圆柱和钝双锥绕流问题,均得到了较好的热流计算结果,为非结构/混合网格热流计算在复杂高超飞行器中的应用奠定了基础。

Application of multi-dimensional upwind scheme in hypersonic aeroheating predictions on unstructured/hybrid grids

The unstructured/hybrid grid has a strong geometric flexibility and is widely used in the numerical simulation of aerodynamic characteristics of complex vehicles.However,it is hard to predict the aerothermodynamic environment accurately.Based on the three requirements of hypersonic aeroheating on unstructured/hybrid grid,a multi-dimensional upwind method is selected and studied intensively in this paper.The multi-dimensional upwind scheme and several widely used inviscid flux schemes (Roe,Van Leer and AUSMDV schemes) are compared based on the typical test case of hypersonic flow over a two-dimensional cylinder.The numerical results show that the multidimensional upwind method has a superior performance in terms of accuracy,robustness and convergence.Finally,the multidimensional upwind method is applied to predict the heat flux over a cylinder and a biconic configuration on the general hybrid grids.The numerical results of the heat flux are satisfactory,which demonstrates the capability for accurate aeroheating prediction over complex hypersonic vehicles on unstructured/hybrid grids.