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A Truncation Error Based Anisotropic Mesh Adaptation Metric for CFD

机译:基于截断误差的CFD各向异性网格自适应度量

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Computational fluid dynamics has enormous potential to influence the design and optimization of engineering systems; however, the error due to the computational mesh (discretization error) is often the largest source of numerical error. Automatic mesh adaptation can be used to generate an optimal mesh given a smooth indicator of error. Truncation error is the local source of discretization error and has been shown to be a good adaptation driver for structured grids [Roy, 20091]; however, the truncation error for general unstructured meshes is too noisy. A new method was developed that removes the excessive noise by interpolating the numerical solution to a smooth mesh matching only the control volume physical location and size [Phillips and Ollivier-Gooch, 20162]. The resulting truncation error estimate was used to drive an isotropic mesh adaptation procedure. In the current work, the truncation error estimation method is extended to include the effects of aspect ratio to create an anisotropic mesh metric. The new mesh adaptation metric is tested on an aniostropic Poisson solution comparing to a Hessian-based metric and a reconstruction error-based metric where the new truncation error-based mesh metric showed the best reduction in discretization error.
机译:计算流体动力学具有巨大的潜力来影响工程系统的设计和优化。但是,由于计算网格引起的误差(离散误差)通常是数值误差的最大来源。给定平滑的错误指示符,可以使用自动网格自适应来生成最佳网格。截断误差是离散化误差的本地来源,并且已被证明是结构化网格的良好适应驱动力[Roy,20091];但是,一般非结构化网格的截断误差太大。开发了一种新方法,该方法通过将数值解插值到仅与控制体积的物理位置和大小匹配的平滑网格来消除过多的噪声[Phillips和Ollivier-Gooch,20162]。所得的截断误差估计值用于驱动各向同性网格自适应过程。在当前工作中,截断误差估计方法已扩展为包括纵横比的影响,以创建各向异性网格度量。与基于Hessian的度量和基于重建误差的度量相比,新的网格自适应度量在各向异性的Poisson解决方案上进行了测试,其中基于新的截断误差的网格度量显示了离散误差的最佳降低。

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