An Exact and Grid-free Numerical Scheme for the Hybrid Two Phase Traffic Flow Model Based on the Lighthill-Whitham-Richards Model with Bounded Acceleration

Handle URI:
http://hdl.handle.net/10754/245871
Title:
An Exact and Grid-free Numerical Scheme for the Hybrid Two Phase Traffic Flow Model Based on the Lighthill-Whitham-Richards Model with Bounded Acceleration
Authors:
Qiu, Shanwen
Abstract:
In this article, we propose a new grid-free and exact solution method for computing solutions associated with an hybrid traffic flow model based on the Lighthill- Whitham-Richards (LWR) partial differential equation. In this hybrid flow model, the vehicles satisfy the LWR equation whenever possible, and have a fixed acceleration otherwise. We first present a grid-free solution method for the LWR equation based on the minimization of component functions. We then show that this solution method can be extended to compute the solutions to the hybrid model by proper modification of the component functions, for any concave fundamental diagram. We derive these functions analytically for the specific case of a triangular fundamental diagram. We also show that the proposed computational method can handle fixed or moving bottlenecks.
Advisors:
Claudel, Christian G. ( 0000-0003-0702-6548 )
Committee Member:
Laleg-Kirati, Taous-Meriem ( 0000-0001-5944-0121 ) ; Thoroddsen, Sigurdur T ( 0000-0001-6997-4311 )
KAUST Department:
Physical Sciences and Engineering (PSE) Division
Program:
Mechanical Engineering
Issue Date:
Jul-2012
Type:
Thesis
Appears in Collections:
Theses; Physical Sciences and Engineering (PSE) Division; Mechanical Engineering Program

Full metadata record

DC FieldValue Language
dc.contributor.advisorClaudel, Christian G.en
dc.contributor.authorQiu, Shanwenen
dc.date.accessioned2012-09-26T06:11:05Z-
dc.date.available2012-09-26T06:11:05Z-
dc.date.issued2012-07en
dc.identifier.urihttp://hdl.handle.net/10754/245871en
dc.description.abstractIn this article, we propose a new grid-free and exact solution method for computing solutions associated with an hybrid traffic flow model based on the Lighthill- Whitham-Richards (LWR) partial differential equation. In this hybrid flow model, the vehicles satisfy the LWR equation whenever possible, and have a fixed acceleration otherwise. We first present a grid-free solution method for the LWR equation based on the minimization of component functions. We then show that this solution method can be extended to compute the solutions to the hybrid model by proper modification of the component functions, for any concave fundamental diagram. We derive these functions analytically for the specific case of a triangular fundamental diagram. We also show that the proposed computational method can handle fixed or moving bottlenecks.en
dc.language.isoenen
dc.subjectHybrid flow modelen
dc.subjectLWR modelen
dc.subjectGrid-free numerical schemeen
dc.subjectBounded accelerationen
dc.titleAn Exact and Grid-free Numerical Scheme for the Hybrid Two Phase Traffic Flow Model Based on the Lighthill-Whitham-Richards Model with Bounded Accelerationen
dc.typeThesisen
dc.contributor.departmentPhysical Sciences and Engineering (PSE) Divisionen
thesis.degree.grantorKing Abdullah University of Science and Technologyen_GB
dc.contributor.committeememberLaleg-Kirati, Taous-Meriemen
dc.contributor.committeememberThoroddsen, Sigurdur Ten
thesis.degree.disciplineMechanical Engineeringen
thesis.degree.nameMaster of Scienceen
dc.person.id113304en
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