中文摘要：

基于Lax-Wendroff时间离散的控制体积间断Petrov-Galerkin方法是求解双曲守恒律的一种高精度和高分辨率数值方法．本文通过几个数值算例对8种数值流通量的数值表现作了详尽的比较，内容涉及耗时、精度、分辨率以及模拟复杂波形相互作用的能力．

英文摘要：

Control volume discontinuous Petrov-Galerkin method based on Lax- Wendroff time discretization is a high accuracy and high resolution numerical method for solving hyperbolic conservation laws. In this paper, we do some comparisons among eight numerical fluxes. Several numerical examples are given to test the performance of the different numerical fluxes which including the time costing, accuracy, resolution and ability to deal with complex wave interaction.