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Article: Solitary wave solution to Aw-Rascle viscous model of traffic flow
Title | Solitary wave solution to Aw-Rascle viscous model of traffic flow |
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Authors | |
Keywords | conservative scheme higher-order traffic flow model hyperbolic conservation law traveling wave solution |
Issue Date | 2013 |
Publisher | Springer Verlag Dordrecht. The Journal's web site is located at http://springerlink.metapress.com/openurl.asp?genre=journal&issn=0253-4827 |
Citation | Applied Mathematics and Mechanics, 2013, v. 34 n. 4, p. 523-528 How to Cite? |
Abstract | A traveling wave solution to the Aw-Rascle traffic flow model that includes the relaxation and diffusion terms is investigated. The model can be approximated by the well-known Kortweg-de Vries (KdV) equation. A numerical simulation is conducted by the first-order accurate Lax-Friedrichs scheme, which is known for its ability to capture the entropy solution to hyperbolic conservation laws. Periodic boundary conditions are applied to simulate a lengthy propagation, where the profile of the derived KdV solution is taken as the initial condition to observe the change of the profile. The simulation shows good agreement between the approximated KdV solution and the numerical solution. |
Persistent Identifier | http://hdl.handle.net/10722/185767 |
ISSN | 2023 Impact Factor: 4.5 2023 SCImago Journal Rankings: 0.729 |
ISI Accession Number ID |
DC Field | Value | Language |
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dc.contributor.author | Wu, CX | - |
dc.contributor.author | Zhang, P | - |
dc.contributor.author | Wong, SC | - |
dc.contributor.author | Qiao, DL | - |
dc.contributor.author | Dai, SQ | - |
dc.date.accessioned | 2013-08-20T11:40:23Z | - |
dc.date.available | 2013-08-20T11:40:23Z | - |
dc.date.issued | 2013 | - |
dc.identifier.citation | Applied Mathematics and Mechanics, 2013, v. 34 n. 4, p. 523-528 | - |
dc.identifier.issn | 0253-4827 | - |
dc.identifier.uri | http://hdl.handle.net/10722/185767 | - |
dc.description.abstract | A traveling wave solution to the Aw-Rascle traffic flow model that includes the relaxation and diffusion terms is investigated. The model can be approximated by the well-known Kortweg-de Vries (KdV) equation. A numerical simulation is conducted by the first-order accurate Lax-Friedrichs scheme, which is known for its ability to capture the entropy solution to hyperbolic conservation laws. Periodic boundary conditions are applied to simulate a lengthy propagation, where the profile of the derived KdV solution is taken as the initial condition to observe the change of the profile. The simulation shows good agreement between the approximated KdV solution and the numerical solution. | - |
dc.language | eng | - |
dc.publisher | Springer Verlag Dordrecht. The Journal's web site is located at http://springerlink.metapress.com/openurl.asp?genre=journal&issn=0253-4827 | - |
dc.relation.ispartof | Applied Mathematics and Mechanics | - |
dc.rights | The original publication is available at www.springerlink.com | - |
dc.subject | conservative scheme | - |
dc.subject | higher-order traffic flow model | - |
dc.subject | hyperbolic conservation law | - |
dc.subject | traveling wave solution | - |
dc.title | Solitary wave solution to Aw-Rascle viscous model of traffic flow | - |
dc.type | Article | - |
dc.identifier.email | Wong, SC: hhecwsc@hku.hk | - |
dc.identifier.authority | Wong, SC=rp00191 | - |
dc.description.nature | postprint | - |
dc.identifier.doi | 10.1007/s10483-013-1687-9 | - |
dc.identifier.scopus | eid_2-s2.0-84876467702 | - |
dc.identifier.hkuros | 219102 | - |
dc.identifier.volume | 34 | - |
dc.identifier.issue | 4 | - |
dc.identifier.spage | 523 | - |
dc.identifier.epage | 528 | - |
dc.identifier.isi | WOS:000317011600009 | - |
dc.publisher.place | Netherlands | - |
dc.identifier.issnl | 0253-4827 | - |