Slope limiters play an essential in maintaining the non-oscillatory behavior of high-resolution methods for nonlinear conservation laws. The family of minmod limiters serves as the prototype example. Here, we revisit the question of non-oscillatory behavior of high-resolution central schemes in terms of the slope limiter proposed by van Albada et. al. 1982. The van Albada limiter is smoother near extrema, and consequently, it outperforms the standard minmod limiter. In particular, we prove that the vA limiter ensures 1D TVD stability and demonstrate that it yields noticeable improvement in computation of one- and two-dimensional systems.

翻译：斜率限制器在维持非线性守恒律高分辨率方法的非振荡特性中起着关键作用。minmod限制器族是典型的代表例子。本文从van Albada等人1982年提出的斜率限制器角度，重新审视高分辨率中心格式的非振荡特性问题。van Albada限制器在极值点附近更为平滑，因此优于标准minmod限制器。具体而言，我们证明了vA限制器能够确保一维TVD稳定性，并展示了该限制器在一维和二维系统计算中带来的显著改进。