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简化的WENO重构在h自适应RKDG方法中的应用

Application of a Simple WENO Limiter to An h-adaptive RKDG Method
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摘要 将简化的WENO重构方法应用到了一个基于坏单元指示子的h自适应RKDG算法,并从数值上证明了这个算法能有效提高间断附近的数值解质量。数值试验还表明这个重构方法对一维h自适应网格也能很好地消除数值振荡,同时还能保持光滑区域的精度。 A simple WENO limiter is applied to an h-adaptive RKDG algorithm based on troubled-cell indicators,and the resulting algorithm is numerically proved that it can improve the solution quality near the discontinuities.The numerical tests also indicate that the simple WENO limiter can produce oscillation-free solutions when one-dimensional h-adaptive mesh is used,and can still maintain the accuracy on smooth regions.
作者 朱洪强
出处 《科学技术与工程》 北大核心 2013年第22期6365-6369,6384,共6页 Science Technology and Engineering
基金 国家自然科学基金项目(11126287) (11201242)资助
关键词 双曲守恒律 自适应方法 重构 间断Galerkin conservation law adaptive method reconstruction discontinuous Galerkin
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