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首页> 外文期刊>Journal of Computational Physics >IDeC(k): A new velocity reconstruction algorithm on arbitrarily polygonal staggered meshes
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IDeC(k): A new velocity reconstruction algorithm on arbitrarily polygonal staggered meshes

机译：IDeC（k）：任意多边形交错网格上的新速度重建算法

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摘要

We propose a novel algorithm for velocity reconstruction from staggered data on arbitrary polygonal staggered meshes. The formulation of the new algorithm is based on a constant polynomial reconstruction approach in conjunction with an iterative defect correction method and is referred to as the IDeC(k) reconstruction. The algorithm is designed for second order accuracy of the reconstructed velocity field and also leads to a consistent estimate of velocity gradients. Accuracy, convergence and robustness of the new algorithm are studied on different mesh topologies and the need for higher-order reconstruction is demonstrated. Numerical experiments for several cases including incompressible viscous flows establish the IDeC(k) reconstruction as a generic, fast, robust and higher-order accurate algorithm on arbitrary polygonal meshes.
机译：我们提出了一种新的算法，用于从任意多边形交错网格上的交错数据重建速度。新算法的制定是基于常数多项式重建方法和迭代缺陷校正方法，被称为IDeC（k）重建。该算法设计用于重建速度场的二阶精度，并且还可以得出一致的速度梯度估计值。在不同的网格拓扑上研究了新算法的准确性，收敛性和鲁棒性，并说明了对高阶重构的需求。在包括不可压缩粘性流在内的多种情况下的数值实验将IDeC（k）重建确立为对任意多边形网格的通用，快速，鲁棒和高阶准确算法。

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