Riemann solver for a macroscopic double-lane roundabout model

Maria Laura Delle Monache; Samuel Hammond; Benedetto Piccoli

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Riemann solver for a macroscopic double-lane roundabout model

机译：宏观双车道回旋模型的黎曼求解器

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摘要

In this article, we introduce a Riemann solver for traffic flow on a roundabout with two lanes. The roundabout is modeled as a sequence of 2 × 1, 1 × 2 and 2 × 2 junctions. The Riemann solver provides a solution at junctions by taking into consideration traffic distribution, priorities, and the maximization of through flux. We prove existence and uniqueness of the solution of the Riemann problem and show some results numerically.

机译：在本文中，我们介绍了一种黎曼求解器，用于在具有两个车道的回旋处进行交通流。回旋处建模为2×1、1×2和2×2交汇处的序列。黎曼求解器通过考虑流量分布，优先级和直通通量的最大化来提供路口的解决方案。我们证明了黎曼问题解的存在性和唯一性，并通过数值证明了一些结果。

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《IFAC PapersOnLine》 |2018年第9期|共6页
作者
Maria Laura Delle Monache; Samuel Hammond; Benedetto Piccoli;
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中图分类自动化技术、计算机技术;
关键词
Traffic modelingRoundaboutsMacroscopic models;

机译：交通模型环岛宏观模型;

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专利

1. A Macroscopic Single-Lane Roundabout Model to Account for Insertion Delays and O-D Patterns [J] . Estelle Chevallier, Ludovic Leclercq Computer-Aided Civil and Infrastructure Engineering . 2008,第2期

机译：宏观单车道回旋模型以解决插入延迟和O-D模式
2. A Riemann solver for single-phase and two-phase shallow flow models based on relaxation. Relations with Roe and VFRoe solvers [J] . Pelanti M., Bouchut F., Mangeney A. Journal of Computational Physics . 2011,第3期

机译：基于松弛的单相和两相浅流模型的黎曼求解器。与Roe和VFRoe求解器的关系
3. Sticky price models of the business cycle: Can the roundabout production solve the persistence puzzle? [J] . El Omari Salaheddine Economics letters . 2017,第nova期

机译：商业周期的粘性价格模型：回旋处生产能否解决持久性难题？
4. Riemann solver for a macroscopic double-lane roundabout model [C] . Maria Laura Delle Monache, Samuel Hammond, Benedetto Piccoli IFAC Symposium on Control in Transportation Systems . 2018

机译：RIEMANN宏观双车道环形交叉路口模型的求解器
5. Fully coupled model for high-temperature ablation and a reactive-Riemann solver for its solution. [D] . Mullenix, Nathan. 2010

机译：高温烧蚀的全耦合模型及其解决方案采用反应性黎曼求解器。
6. Riemann solvers and Alfven waves in black hole magnetospheres [O] . Brian Punsly, Dinshaw Balsara, Jinho Kim, -1

机译：黑洞磁层中的黎曼求解器和Alfven波
7. Riemann solver for a macroscopic double-lane roundabout model [O] . Maria Laura Delle Monache, Samuel Hammond, Benedetto Piccoli 2018

机译：RIEMANN宏观双车道环形交叉路口模型的求解器
8. Transportation Queueing Model, Solved as a Riemann Boundary Value Problem [R] . Najwijn, W. M. 1986

机译：运输排队模型作为黎曼边值问题求解

Riemann solver for a macroscopic double-lane roundabout model

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