摘要
将求解双曲型守恒律方程的低耗散中心迎风格式和5阶WENO-ZQ格式相结合,推广应用于求解二相LWR交通流模型方程.并在时间方向上推进采用具有强稳定性的4阶Rung-Kutta方法.最后结合Riemann问题及现实生活所遇到的交通流现象进行设计和分析.通过数值算例证明该格式具较强的稳定性和较高的精度,得到了令人满意的结果.
A low dissipation semi-discrete central-upwind scheme for solving the hyperbolic conservation laws equation is extended to Two-phase traffic flow LWR model. The accuracy is improved by employing the high-resolution and high order accuracy fifth order WENO-ZQ reconstruction. Time integration is carried out with strong stability preserving Runge-Kutta method. Numerical results demonstrate that the scheme is more stable and accurate in solving the two-phase traffic flow LWR model. It achieved satisfactory numerical results.
引文
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