AI 中文总结
本文针对守恒律系统，提出一种适配最大耗散原理的数值有限体积法，基于最小化熵泛函构造数值通量，其极限解与Glimm或波前追踪算法的经典弱解进行了对比。
AI 中文摘要
本文提出一种适用于守恒律系统的数值有限体积法，该方法适配最大耗散原理。其一般假设为给定系统存在严格凸的熵泛函及有限传播速度特性。该方法基于每一时间步通过最小化熵泛函得到的数值通量构造，满足Lax-Wendroff定理的假设。将该格式得到的极限解与一维系统中通过Glimm方法或波前追踪（Wave Front Tracking）算法得到的经典弱解进行了比较。
英文摘要
This paper presents a numerical finite volume method for conservation law systems that are adapted to the principle of maximal dissipation. The general assumptions are the existence of a strictly convex entropy functional and the finite propagation speed property of a given system. The procedure is based on a numerical flux construction obtained by the minimization of the entropy functional in each time step. The scheme satisfies assumptions of the Lax-Wendroff theorem. A limiting solution obtained by this scheme is compared with the classical weak solutions obtained by the Glimm or the Wave Front Tracking algorithm for one-dimensional systems.
