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Unsteady flow computations for flow past multiple moving boundaries using LSKUM

机译：使用LSKUM对流经多个移动边界的流进行非恒定流计算

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摘要

We present the latest developments in the least squares kinetic upwind method (LSKUM), a kinetic theory based grid free approach for the solution of Euler equations. A single step higher order scheme through modified CIR splitting is presented. A new weighted least squares method has been used in the present work which simplifies the 2-D formulae to an equivalent 1-D form. This is achieved through diagonalisation of the least squares matrix through suitable choices of the weights. All these developments have been extended to problems with moving nodes and boundaries. A 2-D unsteady Euler code has been developed incorporating all the above ideas along with the well known dual time stepping procedure. The code has been verified and validated for the standard test case AGARD CT(5) which corresponds to unsteady flow past oscillating NACA0012 airfoil pitching about quarter chord. Good comparisons with the experimental values have been obtained. In order to demonstrate the ability of the method to handle multiple moving bodies we have computed unsteady flow past two oscillating NACA0012 airfoils one behind the other. Some interesting results are presented for this case.
机译：我们介绍了最小二乘动力学迎风方法（LSKUM）的最新进展，这是一种基于动力学理论的无网格方法，用于求解Euler方程。提出了一种通过改进的CIR分割的单步高阶方案。在本工作中使用了一种新的加权最小二乘法，该方法将二维公式简化为等效的一维形式。这是通过适当选择权重对最小二乘矩阵进行对角化来实现的。所有这些发展已扩展到节点和边界移动的问题。已开发出一种二维非定常Euler码，其中结合了上述所有思想以及众所周知的双重时间步进过程。该代码已针对标准测试用例AGARD CT（5）进行了验证和验证，该标准用例对应于不稳定的流过摆动的NACA0012翼型螺距大约为四分之一弦。已与实验值进行了很好的比较。为了证明该方法处理多个运动物体的能力，我们计算了经过两个振荡的NACA0012翼型的非稳定流，其中两个翼型位于另一个之后。针对这种情况提出了一些有趣的结果。

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