High Resolution Schemes and Comparison of Limiters for Hyperbolic Conservation Laws

碩士 === 大同大學 === 應用數學研究所 === 91 === We compare high resolution numerical schemes ( TVD2, TVB2, ENO2, TVD3, ENO3, etc.,) for hyperbolic conservation laws. We using several flux limiters (Superbee, Van Leer, Koren). And we simulate numerical experiments using these schemes and imiters. We ar...

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Bibliographic Details
Main Authors: Chih-Yu Tsao, 曹志宇
Other Authors: I-Nan Tsai
Format: Others
Language:en_US
Published: 2002
Online Access:http://ndltd.ncl.edu.tw/handle/76119699496593261020
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Summary:碩士 === 大同大學 === 應用數學研究所 === 91 === We compare high resolution numerical schemes ( TVD2, TVB2, ENO2, TVD3, ENO3, etc.,) for hyperbolic conservation laws. We using several flux limiters (Superbee, Van Leer, Koren). And we simulate numerical experiments using these schemes and imiters. We are carried out for one-dimensional Burgers equation and Euler equations. We will observe that limiters can improve accuracy of schemes and have effect on discontinuity contact but almost the same on shock wave.