对多车种LWR交通流模型,给出一种半离散中心迎风格式,该格式以五阶WENO-Z重构和半离散中心迎风数值通量为基础。 WENO-Z重构方法的引入提高了格式的精度,并保证格式具有基本无振荡的性质。时间的离散采用保持强稳定性的Runge-Kutta方法。通过数值算例验证了格式的有效性。
A semi-discrete central-upwind scheme for multi-class Lighthill-Whitham-Richards ( LWR ) traffic flow model is presented. It combines improved fifth-order weighted essentially non-oscillatory ( WENO) reconstruction called WENO-Z with semi-discrete central-upwind numerical flux. WENO-Z reconstruction improves accuracy of solution with non-oscillatory property. Time integration is carried out with strong stability preserving Runge-Kutta method. Numerical results demonstrate the scheme is efficient.