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Godunov's schemes for PW model of non-equilibrium traffic flow
Student-Run Research SeminarSpeaker: | Jin Wenlong, Mathematics, UC Davis |
Location: | 693 Kerr |
Start time: | Wed, Nov 17 1999, 1:10PM |
First, the PW model of non-equilibrium traffic flow will be introduced. This model produces a hyperbolic system with relaxation term. Godunov-type methods are applied to solve the system. The system is unstable in some regions. In the stable regions, solutions to Riemann problems will be discussed. Then one modification of the Riemann solver and some other Godunov-type variant methods will be presented with numerical results.