Analysis of complex singularities in high-Reynolds-number Navier-Stokes solutions
Analysis of complex singularities in high-Reynolds-number Navier-Stokes solutions
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DOI：
10.1017/jfm.2014.153
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发表时间：
2014-05-01
影响因子：
3.7
通讯作者：
Cassel, K. W.
中科院分区：
文献类型：
--
作者：
Gargano, F.;Sammartino, M.;Cassel, K. W.
本文考虑了二维均匀绕流圆柱脉冲起动时层流Prandtl边界层和Navier-Stokes方程的数值解。通过对两种解的壁面剪切和流向速度分量进行复奇异性分析，研究了非定常分离过程中发生的各种粘性无粘相互作用。这是使用两种不同的方法，即奇异跟踪方法和帕德近似。它示出了如何货车Dommelen和沈奇性的普朗特边界层方程的解决方案中发生的复杂的平面演变之前，导致在有限时间内的分离奇异性。在10（3）范围内的不同雷诺数下计算的Navier Stokes解
Numerical solutions of the laminar Prandtl boundary-layer and Navier Stokes equations are considered for the case of the two-dimensional uniform flow past an impulsively-started circular cylinder. The various viscous inviscid interactions that occur during the unsteady separation process are investigated by applying complex singularity analysis to the wall shear and streamwise velocity component of the two solutions. This is carried out using two different methodologies, namely a singularity-tracking method and the Pade approximation. It is shown how the van Dommelen and Shen singularity that occurs in solutions of the Prandtl boundary-layer equations evolves in the complex plane before leading to a separation singularity in finite time. Navier Stokes solutions, computed at different Reynolds numbers in the range 10(3)