#5610. On the performance of HLL, HLLC, and Rusanov solvers for hyperbolic traffic models

September 2026publication date
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Abstract:
This paper investigates the performances of approximate Riemann solvers (ARSs) for hyperbolic traffic models from the family of generic second-order traffic flow modeling. Three approximate Riemann solvers are selected, including the HLL, HLLC, and Rusanov solvers, and evaluated comprehensively against the model by Zhang (20XX) and a variant of the phase-transition model by Colombo (20XX) with a continuous solution domain. The ARSs are investigated using extensive numerical tests, covering all possible waves arising in different Riemann problems, including shockwaves, rarefaction waves, and contact waves. We first investigate ARSs’ performances with the Euler-Upwind spatiotemporal discretization scheme.
Keywords:
Continuum model; Finite volume method; Numerical scheme; Riemann Solver; Traffic flow

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