Study on Accuracy of the High-Resolution Schemes | Zendy

Tang Yawen | Zendy; Yu Bo | Zendy; Xie Jianyu | Zendy; Li Jingfa | Zendy; Wang Peng | Zendy

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Study on Accuracy of the High-Resolution Schemes

Author(s) -

Tang Yawen,

Yu Bo,

Xie Jianyu,

Li Jingfa,

Wang Peng

Publication year - 2014

Publication title -

advances in mechanical engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.318

H-Index - 40

ISSN - 1687-8132

DOI - 10.1155/2014/905053

Subject(s) - extrapolation , resolution (logic) , algorithm , scheme (mathematics) , richardson extrapolation , oscillation (cell signaling) , diagram , computer science , order of accuracy , diffusion , order (exchange) , numerical analysis , mathematics , artificial intelligence , statistics , mathematical analysis , physics , numerical stability , finance , database , biology , economics , genetics , thermodynamics

The high-resolution (HR) schemes have been widely used as they can achieve the numerical solution without oscillation and artificial diffusion, especially for convection-dominated problems. However, there still have arguments about the order of accuracy of HR schemes, especially about the extreme value of the solution. In this paper, it is proved that any HR scheme designed in the NVD diagram has second-order accuracy when its combined segments totally locate in the BAIR region. In other words, it has been verified in our study that the segments, which have low-order accuracy when independently employed, have at least second-order accuracy when locate in BAIR region by analysis of two implementation methods of HR scheme and also a number of numerical examples. Meanwhile Richardson extrapolation has been used to estimate the order of accuracy of HR schemes which achieve the same conclusion.

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