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首页> 外文期刊>International journal of computational fluid dynamics >Implicit eighth-order central compact scheme for the numerical simulation of steady and unsteady incompressible Navier-Stokes equations
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Implicit eighth-order central compact scheme for the numerical simulation of steady and unsteady incompressible Navier-Stokes equations

机译：稳态和非稳态不可压缩Navier-Stokes方程数值模拟的隐式八阶中心紧凑格式

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摘要

The pseudo-compressibility method, with an implicit eighth-order central compact scheme, is proposed to solve the steady and unsteady incompressible Navier-Stokes equations. In this method, the spatial discretisation comprises an eighth-order compact scheme with stable boundary closures and a tenth-order numerical filter operator. Moreover, a Lower-Upper Symmetric Gauss-Seidel time integration method is adopted for the pseudo time sub-iteration, whereas the dual-time step method is used to improve time accuracy. The reliability of the proposed procedure is verified by simulating the phenomenon of Taylor decaying vortices, the separated flow over a backward-facing step, and the low Reynolds number steady and unsteady viscous incompressible flow over a circular cylinder. The results of the present algorithm have been proven consistent, both with exact solutions and with experimental data.
机译：为了解决稳态和非稳态不可压缩的Navier-Stokes方程，提出了一种具有隐式八阶中心紧凑格式的拟压缩方法。在这种方法中，空间离散化包括具有稳定边界闭合的八阶紧凑方案和十阶数值滤波器算子。此外，伪时间子迭代采用了上下对称高斯-赛德尔时间积分方法，而双时间步长法则用于提高时间精度。通过模拟泰勒衰变涡旋现象，向后台阶上的分离流动以及圆柱体上低雷诺数稳态和非稳态粘性不可压缩流动的现象，验证了所提出方法的可靠性。无论是精确的解决方案还是实验数据，都证明了本算法的结果是一致的。

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