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This paper presents a continuum model of traffic flow on a road network with taking into account the diffusion effect. The model is described by a nonlinear convection-dominant diffusion equation, which can be solved using numerical methods. The model is applied to analyzing the traffic flow along a unidirectional highway system with or without junctions. Three numerical examples are provided to illustrate...
A mathematical model previously developed for the simulation of electrochemical chloride removal (ECR) process is utilised to predict the ionic mass transport associated with chloride ingress into concrete or hydrated cement paste from a saline environment by incorporating the convection of pore solution. Compared to the existing models, the present model has advantages in the aspect of numerical...
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