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为准确预测不可压复杂湍流,提出了一种应用于大涡模拟的高精度有限体积法。该方法在非交错网格上数值求解大涡模拟方程,空间离散采用有限体四阶紧致格式,时间推进用四阶Runge-Kutta法,压力速度耦合应用四阶紧致格式的动量插值。通过直接求解顶盖驱动方腔流动和振荡平板上方的流动,证实了该方法具有近四阶精度;并在此基础上,采用动力Smagorinsky亚格子应力模式,成功地完成了充分发展槽道湍流的大涡模拟计算,所得结果与直接数值模拟结果吻合良好。结果表明,该方法是实现高精度湍流大涡数值模拟的一个有效途径。
In order to accurately predict incompressible complex turbulence, a high-precision finite volume method applied to large-eddy simulation is proposed. This method numerically solved large eddy simulation equations on non-staggered grids. The fourth-order Runge-Kutta method was used to solve the spatial discretization and the fourth-order compact time-shifted squeeze method. By solving the flow directly above the cap-driven cavity and the flow above the oscillating plate, the method is proved to be nearly fourth-order accuracy. Based on this, the dynamic Smagorinsky sub-lattice stress model is successfully used to fully develop the channel turbulence Large eddy simulation calculation results are in good agreement with the direct numerical simulation results. The results show that this method is an effective way to realize the large eddy simulation of turbulent flow.