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首页> 外文期刊>Journal of Computational Physics >An efficient and accurate reconstruction algorithm for the formulation of cell-centered diffusion schemes
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An efficient and accurate reconstruction algorithm for the formulation of cell-centered diffusion schemes

机译：一种高效准确的重建算法，用于制定以细胞为中心的扩散方案

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摘要

A new reconstruction algorithm is proposed for constructing cell-centered diffusion schemes on distorted meshes. Its main feature is that edge unknowns are defined at certain balance points, the locations of which depend on the diffusion coefficient and the skewness of grid cells, so as to obtain a two-point reconstruction stencil. Implementing the new algorithm for the approximation of gradients, we extend the IDC (improved deferred correction) scheme, which was proposed by Traoré et al. [P. Traoré, Y. Ahipo, C. Louste, A robust and efficient finite volume scheme for the discretization of diffusive flux on extremely skewed meshes in complex geometries, J. Comput. Phys. 228 (2009) 5148-5159], to handle diffusion problems with discontinuous coefficients. Numerical results demonstrate the accuracy and efficiency of the extended scheme.
机译：提出了一种新的重构算法，用于在变形网格上构造以单元为中心的扩散方案。它的主要特征是在某些平衡点定义了边缘未知数，边缘的位置取决于网格单元的扩散系数和偏度，从而获得两点重建模版。实施新的梯度近似算法，我们扩展了Traoré等人提出的IDC（改进的延迟校正）方案。 [P. Traoré，Y.Ahipo，C.Louste，《复杂几何中极偏斜的网格上离散通量离散的鲁棒高效有限体积方案》，J。物理228（2009）5148-5159]，以解决系数不连续的扩散问题。数值结果证明了扩展方案的准确性和有效性。

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