道路交通的流体物理模型与粒子仿真方法
发布时间：2019-02-15 12:49
【摘要】：针对受多种因素影响的复杂道路交通系统问题,基于颗粒动力学理论,结合传统的Lighthill-WhithamRichards物理模型,建立道路交通系统的流体物理模型,采用无网格粒子与网格相结合的方法进行数值仿真,并应用于典型道路交通问题的求解.在新模型中,将车辆比拟为硬颗粒,车辆的跟车比拟为颗粒间的碰撞相互作用,已知道路情况对驾驶员操作车辆的影响比拟为流-粒两相系统中的外部流体驱动力作用,不同车道间车辆的影响比拟为颗粒间的黏性作用,从而在颗粒动力学理论的基础上,推导建立了道路交通系统拟流体模型;引入光滑离散颗粒流体动力学(SDPH)对车辆系统模型进行离散,建立"SDPH车辆"与真实车辆之间的一一对应关系,再结合有限体积方法,对道路交通构建的双流体模型进行求解,建立求解交通流体物理模型的新型仿真方法.最后,采用所建立的模型和方法对车辆汇入以及机非混合对交通系统的影响过程进行了数值仿真,所得结果与实测值符合较好,表明新的模型和方法有效性好、可靠性高,为道路交通问题的解决提供了一条全新的途径.
[Abstract]:Based on the particle dynamics theory and the traditional Lighthill-WhithamRichards physical model, the fluid physical model of the road traffic system is established for the complex road traffic system problem affected by many factors. The meshless particle and meshless method is used for numerical simulation and applied to the solution of typical road traffic problems. In the new model, the vehicle is compared to a hard particle, the vehicle is compared to a collision interaction between particles, and the influence of a given road condition on the driver-operated vehicle is compared to the external fluid driving force in a fluid-particle two-phase system. The influence of vehicles in different lanes is compared to the viscous effect between particles. Based on the theory of particle dynamics, the pseudo fluid model of road traffic system is derived. The smooth discrete particle hydrodynamics (SDPH) is introduced to discretize the vehicle system model, the one-to-one correspondence between "SDPH vehicle" and real vehicle is established, and the finite volume method is combined. The two-fluid model of road traffic is solved, and a new simulation method for solving the physical model of traffic fluid is established. Finally, the model and method are used to simulate the influence process of vehicle entry and non-mixing on the traffic system. The results are in good agreement with the measured data. The results show that the new model and method are effective and reliable. It provides a new way to solve the problem of road traffic.
【作者单位】： 西北工业大学自动化学院;中国航天系统科学与工程研究院;火箭军工程大学动力工程系;
【基金】：国家自然科学基金(批准号:U1501253,11502132) 陕西省教育厅科研项目(批准号:14JK1132)资助的课题~~
【分类号】：U491
本文编号：2423371
[Abstract]:Based on the particle dynamics theory and the traditional Lighthill-WhithamRichards physical model, the fluid physical model of the road traffic system is established for the complex road traffic system problem affected by many factors. The meshless particle and meshless method is used for numerical simulation and applied to the solution of typical road traffic problems. In the new model, the vehicle is compared to a hard particle, the vehicle is compared to a collision interaction between particles, and the influence of a given road condition on the driver-operated vehicle is compared to the external fluid driving force in a fluid-particle two-phase system. The influence of vehicles in different lanes is compared to the viscous effect between particles. Based on the theory of particle dynamics, the pseudo fluid model of road traffic system is derived. The smooth discrete particle hydrodynamics (SDPH) is introduced to discretize the vehicle system model, the one-to-one correspondence between "SDPH vehicle" and real vehicle is established, and the finite volume method is combined. The two-fluid model of road traffic is solved, and a new simulation method for solving the physical model of traffic fluid is established. Finally, the model and method are used to simulate the influence process of vehicle entry and non-mixing on the traffic system. The results are in good agreement with the measured data. The results show that the new model and method are effective and reliable. It provides a new way to solve the problem of road traffic.
【作者单位】： 西北工业大学自动化学院;中国航天系统科学与工程研究院;火箭军工程大学动力工程系;
【基金】：国家自然科学基金(批准号:U1501253,11502132) 陕西省教育厅科研项目(批准号:14JK1132)资助的课题~~
【分类号】：U491
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