【摘要】 通过定义一类新的 TVD 限制函数;对 Harten 的 TVD(TotalVariation Diminishing)格式作了改进,并在理论上严格证明了改进格式不仅保留了激波分辨率高、非物理振荡小等优点,还保持数值解的单调性且具有一致二阶精度。数值算例表明改进格式明显改善了对激波的捕捉能力,消除了数值解在间断处的振荡现象,得到了比较满意的结果。更多还原

【Abstract】 A new class of high resolution modified TVD type schemes are presented in this paper. The modified procedure is established by defining a new TVD flux limiters.The improved schemes are proved theoretically to be uniformly Second-order accurate and to be monotonicity preserving. Some numerical experiments have been made to demonstrate the efficient accuracy and per- fect resolution of the modified schemes.更多还原