3 papers
math.AP2021
A model for traffic flow on a road with variable widths
Wancheng Sheng, Qinglong Zhang
We propose a model describing the traffic flow on a road with variable widths in this paper. The model, which is modified the Aw-Rascle model, is not conservative because of the so…
math.NA2021
A direct Eulerian GRP scheme for a blood flow model in arteries
Wancheng Sheng, Qinglong Zhang, Yuxi Zheng
In this paper, we propose a direct Eulerian generalized Riemann problem (GRP) scheme for a blood flow model in arteries. It is an extension of the Eulerian GRP scheme, which is dev…
math.AP2021
Interaction of the elementary waves for shallow water equations with discontinuous topography
Qinglong Zhang, Wancheng Sheng, Yuxi Zheng
The Riemann problem of one dimensional shallow water equations with discontinuous topography has been constructed recently. The elementary waves include shock waves, rarefaction wa…