双曲型守恒律的一种五阶半离散中心迎风格式

给出一种求解双曲型守恒律的五阶半离散中心迎风格式.对一维问题,该格式以五阶中心WENO重构为基础;对二维问题,用逐维计算的方法将五阶中心WENO重构进行推广.时间方向的离散采用Runge-Kutta方法.格式保持了中心差分格式简单的优点,即不用求解Riemann问题,避免进行特征分解.用该格式对一维和二维Euler方程进行数值试验,结果表明该格式是高精度、高分辨率的.     

双曲型守恒律的一种三阶半离散中心迎风格式

对一维双曲型守恒律,给出了一种具有较小数值耗散的三阶半离散中心迎风格式.该格式以Liu和Tadmor提出的三阶无振荡重构为基础,同时考虑了波传播的单侧局部速度.时间离散用保持强稳定性的三阶Runge-Kutta方法.由于不需用Riemann解算器,避免了特征分解过程,保持了中心格式简单的优点.数值算例验证本方法可进一步减小数值耗散,提高分辨率.     

求解Navier-Stokes方程组的组合紧致迎风格式

给出一种新的至少有四阶精度的组合紧致迎风(CCU)格式,该格式有较高的逼近解率,利用该组合迎风格式,提出一种新的适合于在交错网格系统下求解Navier-Stokes方程组的高精度紧致差分投影算法.用组合紧致迎风格式离散对流项,粘性项、压力梯度项以及压力Poisson方程均采用四阶对称型紧致差分格式逼近,算法的整体精度不低于四阶.通过对Taylor涡列、对流占优扩散问题和双周期双剪切层流动问题的计算表明,该算法适合于对复杂流体流动问题的数值模拟.     

一维确定性主干道交通流模型的研究

利用一维确定性元胞自动机模型模拟主干道交通流 ,研究绿信比、道路上车辆密度、周期、交通灯的多少对主干道交通流流量和流速的影响     

晶体位错的离散弹性模型——位错中心结构和P-N力

在离散弹性模型中考虑了位错中心位错密度分布的影响,计算了fcc和bcc两种各向同性弹性介质中,不同中心结构的螺型位错的自能、等效内截半径与位错中心位置的关系,估算了不同滑移面上P-N力。讨论了原子热振动对P-N力的影响,比较了离散弹性方法与现有其它方法的结果,据信离散弹性方法是一种进一步进行更深入计算的有效方案。 关键词：     

宏观交通流模型的能耗研究

本文在几种典型的宏观交通流模型的基础上,导出能量耗散的计算公式,宏观交通流模型能耗不同于元胞自动机交通模型,其能耗不仅考虑车流速度减少,而且还要计及通过路段的车流通量引起的能耗.通过对满足黎曼初始条件的道路能耗和道路交通瓶颈处能耗的计算和理论分析,表明交通拥堵处,能量耗散比较高,而且能量耗散的变化也能反映交通拥堵产生及消散的情况.     

车辆从车道进入与转出的一维多速随机交通流模型的研究

应用平均场理论，研究了有车辆进入车道和从车道转出的一维多速随机交通流模型，给出了车流达到稳定时的密度分布概率和平均交通流量与几种随机因素的解析结果．并利用一维元胞自动机模型进行了模拟．实验模拟与理论计算结果符合． 关键词：     

一种改进的两车道交通流格子模型

通过引入新的流量转移函数，改进了两车道交通流格子模型，克服了现有模型隐含的车辆向后运动缺陷.推导了模型的线性稳定性条件.数值模拟结果显示，对于轻度车流扰动，改进的模型可以满意地描述车辆换道过程和趋势. 关键词： 两车道交通流 交通流格子模型 稳定性条件     

双车道多速车辆混合交通流元胞自动机模型的研究

把NaSch模型的刹车概率分开为独立的加速和减速概率，引入转道规则，建立了双车道多速车辆的混合交通流模型.通过计算机数值模拟，得出了不同参数下混合交通的速度和流量与 密度关系的基本图.结果表明，转道概率、混合比例和加减速概率对混合交通都有重要的影 响，慢车的特性对混合交通起着决定性的作用. 关键词： 元胞自动机 混合交通流 NaSch模型     

多速混合车辆单车道元胞自动机交通流模型的研究

在交通流NS模型的基础上，建立了多速混合车辆单车道元胞自动机交通流模型， 通过计算机数值模拟，得到了混合车辆在不同参数下交通流模型的基本图，并对混合交通的 特性进行了分析和讨论. 关键词： 元胞自动机 混合交通流模型 计算机模拟     

基于守恒高阶模型的动态交通分配建模与仿真

针对路网中的动态交通分配问题,采用高阶守恒模型（CHO）进行建模与数值研究,并推广高阶守恒模型二进二出路口的Riemann问题;同时将高阶守恒模型与动态网络加载（DNL）模型相结合,通过变分不等式对动态网络加载模型进行分析.数值模拟采用一阶有限体积法求解高阶守恒模型,同时采用梯度下降方法迭代求解动态网络加载模型的变分不等式问题,最终以动态用户最优条件为目标实现分配均衡.数值结果表明CHO模型与DNL模型结合解决动态交通分配问题是可行的,对传统模型的研究有一定的指导意义.     

A New Macro Model for Traffic Flow on a Highway with Ramps and Numerical Tests

In this paper, we present a new macro model for traffic flow on a highway with ramps based on the existing models. We use the new model to study the effects of on-off-ramp on the main road traffic during the morning rush period and the evening rush period. Numerical tests show that, during the two rush periods, these effects are often different and related to the status of the main road traffic. If the main road traffic flow is uniform, then ramps always produce stop-and-go traffic when the main road density is between two critical values, and ramps have little effect on the main road traffic when the main road density is less than the smaller critical value or greater than the larger critical value. If a small perturbation appears on the main road, ramp may lead to stop-and-go traffic, or relieve or even eliminate the stop-and-go traffic, under different circumstances. These results are consistent with real traffic, which shows that the new model is reasonable.     

A Lattice Hydrodynamic Model for Traffic Flow Accounting for Driver Anticipation Effect of the Next-Nearest-Neighbor Site

In this paper, a new lattice hydrodynamic model is proposed by incorporating the driver anticipation effect of next-nearest-neighbor site. The linear stability analysis and nonlinear analysis show that the driver anticipation effect of next-nearest-neighbor site can enlarge the stable area of traffic flow. The space can be divided into three regions： stab/e, metastable, and unstable. Numerical simulation further illuminates that the driver anticipation effect of the next-neaxest-neighbor site can stabilize tramc flow in our modified lattice model, which is consistent with the analytical results.     

A Macro Model for Traffic Flow with Consideration of Static Bottleneck

In this paper, we develop a macro model for traffic flow with consideration of static bottleneck to explore the impacts of static bottleneck on traffic flow. The analytical and numerical results show that the proposed model can qualitatively describe the equilibrium flux, uniform flow and small perturbation under the action of a static bottleneck.     

A Lattice Hydrodynamic Model for Traffic Flow Accounting for Driver Anticipation Effect of the Next-Nearest-Neighbor Site

In this paper, a new lattice hydrodynamic model is proposed by incorporating the driver anticipation effect of next-nearest-neighbor site. The linear stability analysis and nonlinear analysis show that the driver anticipation effect of next-nearest-neighbor site can enlarge the stable area of traffic flow. The space can be divided into three regions: stable, metastable, and unstable. Numerical simulation further illuminates that the driver anticipation effect of the next-nearest-neighbor site can stabilize traffic flow in our modified lattice model, which is consistent with the analytical results.     

A Macro Model for Traffic Flow with Consideration of Static Bottleneck

In this paper, we develop a macro model for traffic flow with consideration of static bottleneck to explore the impacts of static bottleneck on traffic flow. The analytical and numerical results show that the proposed model can qualitatively describe the equilibrium flux, uniform flow and small perturbation under the action of a static bottleneck.     

An Improved Discrete-Time Model for Heterogeneous High-Speed Train Traffic Flow

This paper aims to present a simulation model for heterogeneous high-speed train traffic Row based on an improved discrete-time model(IDTM).In the proposed simulation model,four train control strategies,including departing strategy,traveling strategy,braking strategy,overtaking strategy,are well defined to optimize train movements.Based on the proposed simulation model,some characteristics of train traffic Bow are investigated.Numerical results indicate that the departure time intervals,the station dwell time,the section length,and the ratio of fast trains have different influence on traffic capacity and train average velocity.The results can provide some theoretical support for the strategy making of railway departments.     

A New Macro Model for Traffic Flow on a Highway with Bus Stop

Based on the difference between the online bus stop and the offline bus stop, two macro models are developed to describe the two types of bus stops. The numerical results show that the two models can qualitatively reproduce some complex phenomena resulted by the two types of bus stops and that the offline bus stop is more effective than the online bus stop when the initial density is relatively low.