Verlet method for traffic simulation

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F12%3A00199640" target="_blank" >RIV/68407700:21340/12:00199640 - isvavai.cz</a>

Výsledek na webu

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DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

Verlet method for traffic simulation

Popis výsledku v původním jazyce

The work is focused on a traffic model based on one-dimensional short-range thermodynamic partical gas, with given form of the repulsive potential, situated in the thermal bath. The main goal is to introduce the proper scheme for numerical integration ofthis modified Dyson gas. Desired method should be time invariant, energy conserving and should preserve the symplectic structure of the phase space. As an appropriate beginning, the algorithm named Verlet integration was chosen. This numerical method frequently used to integrate Newton's equations of motion, and so to calculate trajectories of particles in molecular dynamics simulations, offers great stability and satisfies mentioned conditions. The next step is to explore the possibility of using themodifying called the adaptive Verlet method. This approach is based on a time reparametrization, which led to improvement in the behavior of the numerical method.

Název v anglickém jazyce

Verlet method for traffic simulation

Popis výsledku anglicky

The work is focused on a traffic model based on one-dimensional short-range thermodynamic partical gas, with given form of the repulsive potential, situated in the thermal bath. The main goal is to introduce the proper scheme for numerical integration ofthis modified Dyson gas. Desired method should be time invariant, energy conserving and should preserve the symplectic structure of the phase space. As an appropriate beginning, the algorithm named Verlet integration was chosen. This numerical method frequently used to integrate Newton's equations of motion, and so to calculate trajectories of particles in molecular dynamics simulations, offers great stability and satisfies mentioned conditions. The next step is to explore the possibility of using themodifying called the adaptive Verlet method. This approach is based on a time reparametrization, which led to improvement in the behavior of the numerical method.

Druh

D - Stať ve sborníku

CEP obor

BA - Obecná matematika

OECD FORD obor

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Projekt

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Návaznosti

S - Specificky vyzkum na vysokych skolach

Rok uplatnění

2012

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název statě ve sborníku

SPMS 2012 Proceedings

ISBN

978-80-01-05130-6

ISSN

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e-ISSN

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Počet stran výsledku

8

Strana od-do

93-100

Název nakladatele

ČVUT

Místo vydání

Praha

Místo konání akce

Zlenice

Datum konání akce

25. 6. 2012

Typ akce podle státní příslušnosti

EUR - Evropská akce

Kód UT WoS článku

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