【摘要】 提出了一种新的求解双曲守恒律方程(组)的四阶半离散中心迎风差分方法.空间导数项的离散采用四阶CWENO(central weighted essentially non-oscillatory)的构造方法,使所得到的新方法在提高精度的同时,具有更高的分辨率.使用该方法产生的数值粘性要比交错的中心格式小,而且由于数值粘性与时间步长无关,从而时间步长可根据稳定性需要尽可能的小.更多还原

【Abstract】 This paper presented a new semi-discrete central scheme for hyperbolic system of conservation laws. By using the fourth-order CWENO reconstruction, the new scheme has properties of higher order accuracy and high resolution for discontinuities. Because the new scheme has less dissipation, which is independent of timesteps, than the staggered central scheme, it can be efficiently used with timesteps as small as the requirement of the numerical stability.更多还原