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Non-oscillatory central schemes for traffic flow models with Arrhenius look-ahead dynamics
1. | Mathematics Department, Tulane University, New Orleans, LA 70118, United States, United States |
We also modify the model by Sopasakis and Katsoulakis by introducing a more realistic, linear interaction potential that takes into account the fact that a car's speed is affected more by nearby vehicles than distant (but still visible) ones. The central schemes are extended to the modified model. Our numerical studies clearly suggest that in the case of a good visibility, the new model yields solutions that seem to better correspond to reality.
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