| 引用本文: | 陈逖,孙明波,范晓樯,等.一种基于低扩散通量分裂方法的WENO格式研究.[J].国防科技大学学报,2010,32(6):76-81.[点击复制] |
| CHEN Ti,SUN Mingbo,FAN Xiaoqiang,et al.Investigation on a WENO Scheme Based on Low-Diffusion-Flux-Splitting Scheme[J].Journal of National University of Defense Technology,2010,32(6):76-81[点击复制] |
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| 一种基于低扩散通量分裂方法的WENO格式研究 |
| 陈逖, 孙明波, 范晓樯, 梁剑寒, 刘卫东 |
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(国防科技大学 航天与材料工程学院，湖南 长沙 410073)
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| 摘要: |
| 将低扩散通量分裂格式(LDFSS)和加权基本无振荡格式(WENO)相结合，构造出一种混合格式，其中WENO格式用于物理量重构，而LDFSS用于通量分裂。采用这种格式对Riemann问题、钝头体高超声速无粘绕流流场进行了计算，并对超声速平板湍流边界层进行了混合LES/RANS模拟，计算结果表明：相对于采用Lax-Fridrichs分裂的WENO格式来说，这种混合格式对于激波和接触间断的分辨率更高，并且在标量保正性方面更优，收敛性更好；而相对于采用带有Minmod限制器的MUSCL方法进行物理量高阶重构的LDFSS格式来说，这种混合格式在混合模拟的计算中能够更好地反映湍流流场的脉动特性，计算得到的湍流速度脉动量的统计值更加准确。 |
| 关键词: 低扩散通量分裂格式 WENO格式 Riemann问题 湍流边界层 钝头体 混合LES/RANS模拟 |
| DOI： |
| 投稿日期：2010-01-12 |
| 基金项目:国家自然科学基金资助项目(10802096) |
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| Investigation on a WENO Scheme Based on Low-Diffusion-Flux-Splitting Scheme |
| CHEN Ti, SUN Mingbo, FAN Xiaoqiang, LIANG Jianhan, LIU Weidong |
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(College of Aerospace and Materials Engineering, National Univ. of Defense Technology, Changsha 410073, China)
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| Abstract: |
| Low-diffusion-flux-splitting scheme(LDFSS) was combined with weighted essentially non-oscillatory scheme(WENO) to form a hybrid scheme. WENO was used to the reconstruction of physical variables and LDFSS to the splitting of the flux. Riemann problems and inviscid hypersonic blunt body flow were calculated with the hybrid scheme. Also a supersonic turbulent plate boundary-layer was calculated by using hybrid LES/RANS simulation. The results showed that, compared with WENO schemes based on Lax-Fridrichs, the splitting scheme has better resolution on shock and contact discontinuity and better positivity property of scalars and robustness. In the hybrid simulation, the scheme exhibits better prediction of the fluctuating characteristics of the turbulent flow field and statistics of turbulent fluctuating velocities in the hybrid simulation. |
| Keywords: LDFSS WENO scheme Riemann problems turbulent boundary-layer blunt body hybrid LES/RANS simulation |
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