高超声速热流高精度数值模拟方法

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.

High order accurate methods in numerical simulation of hypersonic heat transfer

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.