Higher order numerical simulation of unsteady viscous incompressible flows using kinetically reduced local Navier-Stokes equations on a GPU.
Higher order numerical simulation of unsteady viscous incompressible flows using kinetically reduced local Navier-Stokes equations on a GPU.
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在 GPU 上使用动力学简化的局部纳维-斯托克斯方程对非定常粘性不可压缩流进行高阶数值模拟。
DOI：
10.1016/j.compfluid.2014.09.013
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发表时间：
2015
影响因子：
2.8
通讯作者：
N. Satofuka
中科院分区：
文献类型：
--
作者：
T. Hashimoto;I. Tanno;T. Yasuda;Y. Tanaka;K. Morinishi;N. Satofuka
采用高阶动力学约化局部Navier-Stokes（KRLNS）方程方法对Womersley问题和双周期剪切层进行了二维数值模拟，以验证KRLNS方法的准确性、有效性和捕捉非定常不可压粘性流动瞬态行为的能力。KRLNS方程采用高阶差分近似得到的数值结果与格子Boltzmann方法（LBM）和伪谱方法（PSM）得到的结果非常一致，这是不可压缩粘性流动的标准方法。结果表明，KRLNS方法由于在连续性方程中引入了Grand势的光滑效应，可以在不使用子迭代的情况下捕捉到正确的瞬态行为，并通过采取足够低的马赫数使速度发散的波动保持在很小的水平。并行计算在基于NVIDIA Tesla C1060系统的GPU上进行，并提供了CUDA库。三种方法，KRLNS方程，PSM和LBM的高值的加速比。
Higher order approach of Kinetically Reduced Local Navier–Stokes (KRLNS) equations are applied for two-dimensional (2-D) simulations of Womersley problem and doubly periodic shear layers in order to demonstrate the accuracy, efficiency and the capability to capture the correct transient behavior for unsteady incompressible viscous flows. The numerical results obtained by the KRLNS equations using higher order difference approximations are in excellent agreement with those obtained by the Lattice Boltzmann method (LBM) and the pseudo-spectral method (PSM), which is a standard approach to incompressible viscous flows. It is confirmed that the KRLNS method can capture the correct transient behavior without use of sub-iterations due to a smoothing effect introduced by using the Grand potential in the continuity equation, and keep the fluctuation of velocity divergence at small level by taking sufficiently low Mach number. Parallel computations are carried out on a GPU based on NVIDIA Tesla C1060 system and the provided CUDA library. High values of speedup are obtained for three methods, the KRLNS equations, PSM and LBM.