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基于运动波方程的道面水膜厚度动态演变研究

Study on the Dynamic Evolution of Water Film Thickness on the Pavement Based on Moving Wave Equation

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【作者】 黄琴龙吴鸣涛蔡爵威

【Author】 HUANG Qinlong;WU Mingtao;CAI Juewei;Key Laboratory of Road and Traffic Engineering of the Ministry of Education, Tongji University;Shanghai Research Institute of Building Sciences Co., Ltd.;

【通讯作者】 蔡爵威;

【机构】 同济大学道路与交通工程教育部重点实验室上海市建筑科学研究院有限公司

【摘要】 水膜对道面抗滑性能影响显著,精确、实时、全面的道面水膜厚度信息,有助于保障飞机滑跑安全,防范重大湿滑风险。文中基于运动波方程和水力学基础理论,结合道面纹理、横纵坡排水和实时降雨强度等动态时空信息,提出道面水膜厚度求解的基本控制方程。在此基础上,分别采用Preissmann法和MacCormack法进行动态求解,并在恒定降雨强度和变化降雨强度2种条件下进行模型验证。结果表明,在恒定降雨强度下,水膜厚度的计算值与实测值的平均绝对误差为0.54 mm,平均相对误差为14.9%,两者吻合度高;在变化降雨强度下,模型能够很好地反映水膜厚度的动态演变特征,均方根误差为0.17 mm;在求解速度上,MacCormack法耗时仅为Preissmann法的56.25%。

【Abstract】 Water film has a significant impact on the anti-skid performance of the pavement. Accurate, real-time and comprehensive information about the thickness of the water film on the pavement is helpful to ensure the safety of the aircraft and prevent the risk of major wet slip. Based on the moving wave equation and the basic theory of hydraulics, and combined with pavement texture, transverse and longitudinal slope drainage and real-time rainfall intensity, the basic control equation for solving the thickness of pavement water film is proposed. On this basis, the Preissmann method and MacCormack method are used for dynamic solution, and the model is validated under two conditions: constant rainfall intensity and variable rainfall intensity. The results show that under constant rainfall intensity, the average absolute error and the average relative error between the calculated and measured values of water film thickness are 0.54 mm and 14.9% respectively, indicating a high degree of agreement between the two. Under varying rainfall intensity, the model can well reflect the dynamic evolution characteristics of water film thickness, with a root-mean-square error of 0.17 mm, and the MacCormack method is only 56.25% of the Preissmann method in the calculation time.

  • 【文献出处】 交通科技 ,Transportation Science & Technology , 编辑部邮箱 ,2023年06期
  • 【分类号】V351.11
  • 【下载频次】15
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