| 一类求解浅水波方程的基本无振荡熵稳定格式 |
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| 引用本文： | 刘友琼,刘庆升,荣宪举,黄封林.一类求解浅水波方程的基本无振荡熵稳定格式[J].信阳师范学院学报(自然科学版),2019(3):345-351. |
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| 作者姓名： | 刘友琼 刘庆升 荣宪举 黄封林 |
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| 作者单位： | 信阳师范学院数学与统计学院;信阳师范学院科学技术处 |
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| 摘 要： | 针对浅水波方程,提出了一类低耗散基本无振荡熵稳定格式.在Roe型熵稳定通量中添加熵守恒格式的熵数值黏性绝对值的量来抵消解在跨过激波时所产生的熵增,从而抑制伪振荡;并且,利用通量限制器函数构造出相应的高分辨率熵稳定格式.利用新格式模拟一维和二维经典问题,数值结果表明,该格式具有低耗散、高分辨率、基本无振荡性等特点,是求解浅水波方程较为理想的方法.
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| 关 键 词： | 浅水波方程 低耗散 高分辨率 熵稳定格式 |
Non-oscillatory Entropy Stable Scheme for Shallow Water Equations |
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| Institution: | ,College of Mathematics and Statistics,Xinyang Normal University,Office of Science and Technology,Xinyang Normal University |
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| Abstract: | A low dissipative non-oscillatory entropy stable scheme is presented for shallow water equations. The scheme is given to construct entropy stable flux by addition of the entropy viscosity term of entropy conservative flux into Roe's entropy stable flux,to controlling entropy production at discontinuities,which result have enough entropy dissipative to remove oscillations near discontinuity. Further,high resolution entropy stable flux is constructed for the flux limiter functions. These new fluxes is tested on one dimensional and two dimensional problems,numerical examples demonstrate that these schemes are low dissipative,high resolution and non-oscillatory. |
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| Keywords: | shallow water equations low dissipative high resolution entropy stable flux |
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