高超声速热流高精度数值模拟方法

摘要

通过高超声速下钝锥热流的计算,对影响热流计算精度的因素进行了综合研究.获得了壁面法向网格Re数对热流计算的影响规律.采用边界高阶插值,提高了热流计算精度.用Roe和AUSM（Advection Upstream Splitting Method）＋格式搭配minmod和混合limiter两种限制器,探讨了空间离散方法及限制器的耗散性对热流结果的影响.应用五阶WENO（Weighted Essentially Non-Oscillatory）方法,对高阶格式计算热流的性能进行了细致研究,最终确立了网格依赖小,热流精度高的计算方法.研究认为：高阶格式不但可以放宽热流计算对网格Re数的限制,同时使得格式对本身计算方法的依赖性也变小.%Influencing factors of hypersonic heat transfer simulation were studied with the blunt cone model.The connection between heat transfer computation and wall-normal grid Renolds number was established.Stable and accurate heat transfer result was acquired with high-order interpolation methods.A variety of schemes and limiters were evaluated to research the influence of numerical diffusion on heat transfer calculation.Five-order weighted essentially non-oscillatory（WENO） scheme was employed in heat transfer computation and high-order accurate methods for hypersonic heat transfer prediction were established.It shows that high-order scheme can not only broaden the grid Reynolds number range but also reduce the dependence on space discretization methods in heat transfer computation.