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道路交通的流體物理模型與粒子仿真方法

發(fā)布時(shí)間:2019-02-15 12:49
【摘要】:針對(duì)受多種因素影響的復(fù)雜道路交通系統(tǒng)問(wèn)題,基于顆粒動(dòng)力學(xué)理論,結(jié)合傳統(tǒng)的Lighthill-WhithamRichards物理模型,建立道路交通系統(tǒng)的流體物理模型,采用無(wú)網(wǎng)格粒子與網(wǎng)格相結(jié)合的方法進(jìn)行數(shù)值仿真,并應(yīng)用于典型道路交通問(wèn)題的求解.在新模型中,將車輛比擬為硬顆粒,車輛的跟車比擬為顆粒間的碰撞相互作用,已知道路情況對(duì)駕駛員操作車輛的影響比擬為流-粒兩相系統(tǒng)中的外部流體驅(qū)動(dòng)力作用,不同車道間車輛的影響比擬為顆粒間的黏性作用,從而在顆粒動(dòng)力學(xué)理論的基礎(chǔ)上,推導(dǎo)建立了道路交通系統(tǒng)擬流體模型;引入光滑離散顆粒流體動(dòng)力學(xué)(SDPH)對(duì)車輛系統(tǒng)模型進(jìn)行離散,建立"SDPH車輛"與真實(shí)車輛之間的一一對(duì)應(yīng)關(guān)系,再結(jié)合有限體積方法,對(duì)道路交通構(gòu)建的雙流體模型進(jìn)行求解,建立求解交通流體物理模型的新型仿真方法.最后,采用所建立的模型和方法對(duì)車輛匯入以及機(jī)非混合對(duì)交通系統(tǒng)的影響過(guò)程進(jìn)行了數(shù)值仿真,所得結(jié)果與實(shí)測(cè)值符合較好,表明新的模型和方法有效性好、可靠性高,為道路交通問(wèn)題的解決提供了一條全新的途徑.
[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.
【作者單位】: 西北工業(yè)大學(xué)自動(dòng)化學(xué)院;中國(guó)航天系統(tǒng)科學(xué)與工程研究院;火箭軍工程大學(xué)動(dòng)力工程系;
【基金】:國(guó)家自然科學(xué)基金(批準(zhǔn)號(hào):U1501253,11502132) 陜西省教育廳科研項(xiàng)目(批準(zhǔn)號(hào):14JK1132)資助的課題~~
【分類號(hào)】:U491

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