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首页> 外文期刊>Journal of Computational Physics >An implicit high-order spectral difference approach for large eddy simulation
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An implicit high-order spectral difference approach for large eddy simulation

机译：大涡模拟的隐式高阶谱差分法

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摘要

The filtered fluid dynamic equations are discretized in space by a high-order spectral difference (SD) method coupled with large eddy simulation (LES) approach. The subgrid-scale stress tensor is modelled by the wall-adapting local eddy-viscosity model (WALE). We solve the unsteady equations by advancing in time using a second-order backward difference formulae (BDF2) scheme. The nonlinear algebraic system arising from the time discretization is solved with the nonlinear lower–upper symmetric Gauss–Seidel (LU-SGS) algorithm. In order to study the sensitivity of the method, first, the implicit solver is used to compute the two-dimensional (2D) laminar flow around a NACA0012 airfoil at Re = 5 x 105 with zero angle of attack. Afterwards, the accuracy and the reliability of the solver are tested by solving the 2D ‘‘turbulent” flow around a square cylinder at Re = 104 and Re = 2.2 x 10~4. The results show a good agreement with the experimental data and the reference solutions.
机译：通过高阶谱差（SD）方法和大涡模拟（LES）方法，将滤波后的流体动力学方程在空间中离散。亚网格尺度的应力张量通过壁适应的局部涡流-粘度模型（WALE）建模。我们通过使用二阶后向差分公式（BDF2）方案及时推进来解决非定常方程。时间离散化产生的非线性代数系统使用非线性上下对称高斯-赛德尔（LU-SGS）算法求解。为了研究该方法的灵敏度，首先，隐式求解器用于计算零迎角为Re = 5 x 105的NACA0012机翼周围的二维（2D）层流。然后，通过求解绕方筒在Re = 104和Re = 2.2 x 10〜4处的2D“湍流”流动，来测试求解器的精度和可靠性。结果与实验数据和参考溶液吻合良好。

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