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Chinese Journal of Computational Physics. Core
Version after Accepted▼
(Accepted Version) Online First Publishing Date: 2023-07-27 08:38:42

Well-balanced preserving of CCWENO-type high order entropy stable schemes for shallow water equationsChinese Full TextEnglish Full Text (MT)

LIU Shasha;ZHENG Supei;ZHANG Chengzhi;FENG Jianhu;

Abstract: The shallow water equations with source term havesteady-state solution. The numerical scheme for solving this kind of equations must have well-balanced property， otherwise it will cause oscillation. For the bottom-non-flat shallow water with source term， this paper studies the well-balanced property of the high order compact central weighted essentially non-oscillatory （CCWENO scheme） entropy stable scheme， and proves its well-balanced property. The theory is verified by one- and two-dimensional... More
Keywords：

well-balanced; entropy stable scheme; shallow water equations; CCWENO reconstruction; hydrostatic equilibrium state;

  • Series：

    (A) Mathematics/ Physics/ Mechanics/ Astronomy

  • Subject：

    Mathematics

  • Classification Code：

    O241.82

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