【摘要】 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.更多还原

【Abstract】 The non-oscillatory central scheme is extended to the multi-class Lighthill-WhithamRichards(LWR) traffic flow model.A high-resolution numerical method for solving the model on an inhomogeneous highway is presented.The slope is calculated by a nonlinear limiter to guarantee the non-oscillatory behavior.The spatial derivative of the flux is approximated by the componentwise approach which ensures that the computation of the Jacobian can be avoided.The resulting method is applied to simulating several tests in particular traffic signal control problem.The results demonstrate that the present method is stable and efficient.更多还原