Numerical simulations of compressible mixing layers with a discontinuous Galerkin method

Numerical simulations of compressible mixing layers with a discontinuous Galerkin method
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采用间断伽辽金法对可压缩混合层进行数值模拟

DOI:
10.1007/s10409-011-0433-0
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发表时间:
2011-06
期刊:
Acta mechanics Sinina(Doi:10.1007/s10409-011-0433-0)
影响因子:
--
通讯作者:
Chen, Jun
Chen, Jun
中科院分区:
其他
文献类型:
--
作者:
She, Zhen-Su;Shi, Xiao-Tian;Bi, Wei-Tao;Shu, Chi-Wang;Chen, Jun

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间断伽辽金方法在流动模拟中具有灵活的精度管理和网格细化的适应性等优点。在目前的工作中,DG方法发展的时间和空间发展的混合层的数值模拟。对于时间发展的混合层,瞬时流场和动量厚度随时间的演变与前人的结果吻合得很好。在较高的对流马赫数下观察到了小激波,涡配对方式因高压缩性而改变。对于空间发展的混合层,大尺度相干结构和自相似行为的平均廓线进行了研究。本文还报道了三维可压缩混合层的瞬时流场,它显示了流向上大尺度拟序结构的发展。所有的数值结果表明,DG方法是有效的可压缩剪切流进行精确的数值模拟。
Discontinuous Galerkin (DG) method is known to have several advantages for flow simulations, in particular, in flexible accuracy management and adaptability to mesh refinement. In the present work, the DG method is developed for numerical simulations of both temporally and spatially developing mixing layers. For the temporally developing mixing layer, both the instantaneous flow field and time evolution of momentum thickness agree very well with the previous results. Shocklets are observed at higher convective Mach numbers and the vortex paring manner is changed for high compressibility. For the spatially developing mixing layer, large-scale coherent structures and self-similar behavior for mean profiles are investigated. The instantaneous flow field for a three-dimensional compressible mixing layer is also reported, which shows the development of large-scale coherent structures in the streamwise direction. All numerical results suggest that the DG method is effective in performing accurate numerical simulations for compressible shear flows.
DOI: 10.1017/s0022112088003325
发表时间: 1988-12
影响因子: 3.7
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