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A comparison of three error estimation techniques for finite-volume solutions of compressible flows

机译:可压缩流有限体积解的三种误差估计技术的比较

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摘要

Three techniques to obtain error estimates for finite-volume solutions on unstructured grids are compared in this study. The first estimation technique uses Richardson extrapolation involving three flow solutions on different grids. Error estimates on these grids are computed simultaneously with the order of convergence. The second technique is based on the difference between the computed so- lution and a higher-order reconstruction obtained using the least-squares method. Finally, a third technique solves an error equation driven by source terms computed from the flux jump at cell interfaces. The flows solved as test cases are governed by the two- dimensional Euler equations, and the discretization employs Roe's flux difference splitting scheme. Comparisons with exact errors allow the efficiency of each error estimation technique to be assessed for various types of flows.
机译:在本研究中,比较了三种获取非结构化网格上有限体积解的误差估计的技术。第一种估算技术使用涉及不同网格上的三个流解的Richardson外推法。这些网格的误差估计是按照收敛顺序同时计算的。第二种技术基于计算的解决方案与使用最小二乘法获得的高阶重构之间的差异。最后,第三种技术解决了一个误差方程,该误差方程由源项驱动,该源项由单元界面处的通量跳跃计算得出。作为测试用例求解的流量由二维Euler方程控制,离散化采用Roe的通量差分裂方案。与精确误差的比较允许针对各种类型的流评估每种误差估计技术的效率。

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