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双曲守恒律方程WENO格式的优化方法 被引量:3

Some Optimal Methods for WENO Scheme in Hypabolic Conservation Laws
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摘要 WeightedEssentiallyNon Oscillatroy (WENO)是求解双曲守恒律方程的高精度高分辨率数值格式 .论文讨论了双曲守恒律方程WENO格式的一些优化策略 ,减少了非线性权的计算次数和特征分解的次数 ,通过数值算例证明了这些策略的可行性 ,并比较了优缺点 . WENO (weighted Essentially Non Oscillatroy) is a high resolution numerical scheme used for solving equations of hyperbolic conservation laws. In this paper, some optimal strategies of the WENO scheme of hyperbolic conservation laws are discussed and the time of nonlinear weighted computation and characteristic decomposing is reduced. By some numerical examples, the feasibility of these strategies is proved and the advantages and disadvantages compared.
出处 《中国科学技术大学学报》 CAS CSCD 北大核心 2004年第1期29-37,54,共10页 JUSTC
基金 国家自然科学基金 ( 10 0 710 83) 中国科学技术大学火灾科学国家重点实验室创新基金
关键词 WENO格式 双曲守恒律方程 RUNGE-KUTTA方法 WENO scheme hyperbolic conservationa law equation Runge Kutta method
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