关于高阶精度WCNS格式的无粘通量分裂方法（英文）

发布时间：2018-02-23 18:23

本文关键词： 加权紧致非线性格式激波/边界层干扰 Euler通量高阶精度热流　出处：《应用数学和力学》2016年12期 　论文类型：期刊论文

【摘要】：高阶精度加权紧致非线性格式(WCNS)越来越广泛地应用于复杂流动数值模拟.WCNS可以与多种无粘通量分裂方法结合起来使用.但是,常见的通量分裂方法都是基于低阶格式发展起来的,目前还不清楚哪些通量分裂方法最适合WCNS,也不知道这些方法与高阶格式结合时将会产生什么效果.表面热流计算是高超声速流动数值模拟的难点之一,为了在热流计算时选择合适的通量,研究了多种通量分裂方法的耗散大小.每种通量都可以表示成中心部分与耗散部分之和.这些通量的中心部分相同且非常简单,但是耗散部分较为复杂,且不同的通量分裂方法可导致不同的耗散表达式.通过对通量耗散进行分析可以发现耗散大小与网格界面两侧的物理量跳跃近似线性正相关.数值计算表明高阶格式得到的网格界面左右两侧的物理量跳跃通常远比低阶格式小,因而带来的通量耗散小.通过3个典型算例考察了通量耗散对热流计算的影响,其中包括高超激波/边界层干扰算例.基于对van Leer通量、Steger-Warming通量、KFVS通量、Roe通量、AUSM类通量和HLL类通量的考察,给出了通量选择建议.
[Abstract]:The high order precision weighted compact nonlinear scheme (WCNS) is more and more widely used in numerical simulation of complex flow. WCNS can be used in conjunction with a variety of viscidity flux splitting methods. However, Common flux splitting methods are based on low-order schemes. It is not clear which flux splitting methods are most suitable for WCNSs, and what effect these methods will have when combined with higher-order schemes. Surface heat flow meter is one of the difficulties in numerical simulation of hypersonic flow. In order to select the appropriate flux in the calculation of heat flux, the dissipation size of various flux splitting methods is studied. Each flux can be expressed as the sum of the central part and the dissipative part. The central parts of these fluxes are the same and very simple. But the dissipative part is more complex, Different flux splitting methods can lead to different dissipative expressions. By analyzing the flux dissipation, it is found that the magnitude of dissipation is approximately linearly correlated with the jump of physical quantities on both sides of the grid interface. The numerical results show that the higher order is higher. The leaps on the left and right sides of the grid interface are usually much smaller than the low-order schemes. Through three typical examples, the influence of flux dissipation on heat flux calculation is investigated. Based on the investigation of the van Leer flux and the KFVS fluxes, the suggestions for the selection of the van Leer fluxes are given based on the investigation of the van Leer fluxes and the HLL fluxes.
【作者单位】：空气动力学国家重点实验室(中国空气动力研究与发展中心);中国空气动力研究与发展中心计算空气动力研究所;
【基金】：Project supported by the National Key Research and Development Project of China(2016YFA0401200) the National Natural Science Foundation of China(11301525)~~
【分类号】：O35

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