A dynamic multi-scale approach for turbulent inflow boundary conditions in spatially developing flows
A dynamic multi-scale approach for turbulent inflow boundary conditions in spatially developing flows
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DOI：
10.1017/s0022112010005616
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发表时间：
2011-03-01
影响因子：
3.7
通讯作者：
Jansen, Kenneth
中科院分区：
文献类型：
--
作者：
Araya, Guillermo;Castillo, Luciano;Jansen, Kenneth
本文提出了一种用于模拟空间发展湍流边界层的动态方法。该方法是基于由隆德，吴和Squires（J. COMPUT. Phys，vol. 140，1998，pp. 233 - 258）和由Araya，Jansen和Castillo（J.Turbul.，第10卷，第36期，2009年，第10页。1 - 33）。重新缩放过程需要关于入口和再循环站之间的速度和长度尺度如何相关的先验知识。在这里，提出了一种动态的方法，其中这样的信息是动态推导出的，涉及一个额外的平面，所谓的测试平面位于入口和回收站之间。该方法区分边界层的内部和外部区域，并使多个速度尺度的使用。这种灵活性允许应用于具有压力梯度的边界层流动，并且避免了在该域的入口处凭经验规定摩擦速度和其他流动参数的需要。在零，有利和不利的压力梯度流的直接数值模拟的动态方法进行了测试。动态获得的标度指数的下游边界层参数的演变被发现波动的时间，但平均而言，他们同意零，有利和不利的压力梯度流的预期值。与实验数据的结果比较，并从其他直接的数值模拟，使用更长的计算域捕捉层流到湍流过渡，证明了所提出的动态方法的适用性。
A dynamic method for prescribing realistic inflow boundary conditions is presented for simulations of spatially developing turbulent boundary layers. The approach is based on the rescaling-recycling method proposed by Lund, Wu & Squires (J. Comput. Phys, vol. 140, 1998, pp. 233-258) and the multi-scale method developed by Araya, Jansen & Castillo (J. Turbul., vol. 10, no. 36, 2009, pp. 1-33). The rescaling process requires prior knowledge about how the velocity and length scales are related between the inlet and recycle stations. Here a dynamic approach is proposed in which such information is deduced dynamically by involving an additional plane, the so-called test plane located between the inlet and recycle stations. The approach distinguishes between the inner and outer regions of the boundary layer and enables the use of multiple velocity scales. This flexibility allows applications to boundary layer flows with pressure gradients and avoids the need to prescribe empirically the friction velocity and other flow parameters at the inlet of the domain. The dynamic method is tested in direct numerical simulations of zero, favourable and adverse pressure gradient flows. The dynamically obtained scaling exponents for the downstream evolution of boundary layer parameters are found to fluctuate in time, but on average they agree with the expected values for zero, favourable and adverse pressure gradient flows. Comparisons of the results with data from experiments, and from other direct numerical simulations that use much longer computational domains to capture laminar-to-turbulence transition, demonstrate the suitability of the proposed dynamic method.