中文摘要：

几乎不要求 eigenstructure 的很少信息的一个高分辨率的放松的计划在一条不同类的高速公路上为 multiclass Lighthill-Whitham-Richards (LWR ) 模型被介绍。计划需要仅仅绝对特征值的最大值的上面的边界的估计。它基于合并一改善第五顺序加权实质上非摆动(WENO ) 有松驰近似的重建。计划得益于放松的计划的简洁因为它不沿着典型方向要求准确或近似的 Riemann 解答者和没有设计。我们的方法的有效性在几个数字例子被表明。

英文摘要：

A high-resolution relaxed scheme which requires little information of the eigenstructure is presented for the multiclass Lighthill-Whitham-Richards （LWR） model on an inhomogeneous highway. The scheme needs only an estimate of the upper boundary of the maximum of absolute eigenvalues. It is based on incorporating an improved fifth-order weighted essentially non-oscillatory （WENO） reconstruction with relaxation approximation. The scheme benefits from the simplicity of relaxed schemes in that it requires no exact or approximate Riemann solvers and no projection along characteristic directions. The effectiveness of our method is demonstrated in several numerical examples.