The shallow water equations with source term have steady-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)entropy stable scheme,and proves its well-balanced property.The theory is verified by one-and two-dimensional numerical examples.The numerical results show that the high order CCWENO scheme has the well-balanced property and can accurately capture the small perturbation of the solution even based on the coarse grid.
关键词
保平衡性/熵稳定格式/浅水波方程/CCWENO重构/静水稳态
Key words
well-balanced/entropy stable scheme/shallow water equations/CCWENO reconstruction/hydrostatic equilibrium state
维普
万方数据