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首页> 外文会议>National Fluid Mechanics and Fluid Power Conference >NUMERICAL SIMULATION OF VISCOUS FLOW OVER A SQUARE CYLINDER ON GRADED CARTESIAN MESHES USING MULTIGRID METHOD
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NUMERICAL SIMULATION OF VISCOUS FLOW OVER A SQUARE CYLINDER ON GRADED CARTESIAN MESHES USING MULTIGRID METHOD

机译：使用多重载方法对笛卡尔网格曲折网眼粘液流量的数值模拟

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摘要

This paper deals with the computation of laminar viscous flow past a square prism confined in a channel using multigrid method on graded Cartesian meshes. As the finite difference method is used to discretize the governing equations on nonuniform staggered grids, a transformation of the governing equations from the physical space to the computational space is performed. In the computations of transient viscous flows the pressure- Poisson equation has to be solved accurately at every time-step and it is imperative that this computation is carried out with good time-wise efficiency. Therefore multigrid method is employed to accelerate the convergence of the Poisson equation. To obtain second-order time accuracy a fractional-step method is employed. The convective terms are discretized using a third-order accurate upwind scheme and the viscous terms are centrally differenced to fourth-order accuracy. The code is validated by computing the well known lid-driven cavity flow problem. After having thus gained confidence in the code it is then applied to compute the flow past a square prism. Accurate results in the shape of instantaneous streamlines and vorticity contours are plotted for various Reynolds numbers. Periodicity of the flow is established through phase plots, power spectrum analysis and temporal plots of lift and drag coefficients. Several flow parameters are computed and compared with established results to demonstrate that the multigrid strategy adopted here affords an efficient and accurate procedure for computing this interesting flow configuration rich in fluid mechanical features.
机译：本文涉及使用多重笛卡尔网格上的频道中限于渠道中的角层粘性流的计算。由于使用有限差分方法来离散地对非均匀交错网格上的控制方程，因此执行从物理空间到计算空间的控制方程的转换。在瞬态粘性流的计算中，每次步骤，必须准确地解决压力泊松方程，并且必须以良好的时光效率进行该计算。因此，采用多重型方法来加速泊松方程的收敛。为了获得二阶时间精度，采用分数步进方法。对流项使用三阶准确迎风格式离散和粘性项被集中到求差四阶精度。通过计算众所周知的盖驱动腔流量问题来验证代码。在这样获得在代码中获得的信心后，然后应用于计算超过方形棱镜的流动。对于各种雷诺数，绘制瞬时流线和涡旋轮廓形状的准确结果绘制。通过相位图，功率谱分析和升力系数的时间图建立流程的周期性。计算几个流程参数并与已建立的结果进行了比较，以证明这里采用的多重型策略提供了高效和准确的程序，用于计算富含流体机械特征的有趣流动配置。

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