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将无振荡中心格式推广于多车种LWR交通流模型,给出了一种求解非均匀道路上模型的高分辨率数值方法.为保证格式无振荡,采用非线性限制器近似离散斜率.通量的离散微分可以按分量来近似,使得雅可比矩阵的计算都可以避免.方法具有形式简单、计算量小的优点.应用该方法对信号灯控制等问题进行数值模拟,验证了方法的稳定性和有效性.
A non-oscillatory center format is extended to a multi-vehicle LWR traffic flow model, and a high-resolution numerical method for solving non-uniform on-road models is given. To ensure that the format has no oscillation, a nonlinear limiter is used to approximate the discrete slope. The discrete differential can be approximated by components so that the calculation of Jacobian matrix can be avoided.The method has the advantages of simple form and small amount of calculation.This method is used to simulate the signal control and other issues to verify the stability and effectiveness of the method Sex.