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Convergence Analysis of Shock-Capturing and Shock-Fitting Solutions on Unstructured Grids

机译:非结构化网格上的激波捕捉和激波拟合解的收敛性分析

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摘要

A new shock-fitting technique for unstructured two- and three-dimensional meshes has been recently proposed and developed by the authors. In the present paper, both global and local a posteriori grid-convergence analysis is used to quantitatively measure the discretization error and order of convergence of the numerical solutions obtained using this new unstructured shock-fitting technique. Specifically, the analysis has considered the numerical solutions of two different flows characterized by the presence of strong shocks: a transonic source flow and an hypersonic flow past a circular cylinder. It is shown that the shock-fitting technique allows to compute numerical solutions that converge, both pointwise and in a global sense, with an observed order of accuracy that is very close to the design order of the spatial discretization scheme and with very small discretization errors.
机译:作者最近提出并开发了一种用于非结构化二维和三维网格的新型减震技术。在本文中,使用全局和局部后验网格收敛分析来定量测量离散误差和使用这种新的非结构减震技术获得的数值解的收敛阶。具体而言,该分析考虑了以强震的存在为特征的两种不同流动的数值解:跨音速源流和经过圆柱体的高超音速流。结果表明,减震技术可以计算数值解,无论是逐点还是全局意义上都可以收敛,观测到的精度阶数与空间离散方案的设计阶数非常接近,并且离散误差很小。

著录项

  • 来源
    《AIAA Journal》 |2014年第7期|1404-1416|共13页
  • 作者单位

    Universita degli Studi della Basilicata, 85100 Potenza, Italy;

    University of Rome 'La Sapienza, ' 00184 Rome, Italy;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

  • 入库时间 2022-08-18 02:24:20

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