18 citations · 30 across the 4 of their papers we have counts for
4 papers · 1 filter
Hard congestion limit of the dissipative Aw-Rascle system
N Chaudhuri, L Navoret, Charlotte Perrin +1
In this study, we analyse the famous Aw-Rascle system in which the difference between the actual and the desired velocities (the offset function) is a gradient of a singular functi…
An analysis of over-relaxation in kinetic approximation
Florence Drui, Emmanuel Franck, Philippe Helluy +1
The over-relaxation approach is an alternative to the Jin-Xin relaxation method (Jin and Xin [1]) in order to apply the equilibrium source term in a more precise way (Coulette et a…
High-order implicit palindromic discontinuous Galerkin method for kinetic-relaxation approximation
David Coulette, Emmanuel Franck, Philippe Helluy +2
We construct a high order discontinuous Galerkin method for solving general hyperbolic systems of conservation laws. The method is CFL-less, matrix-free, has the complexity of an e…
Numerical simulations of a non-conservative hyperbolic system with geometric constraints describing swarming behavior
Sebastien Motsch, Laurent Navoret
The Vicsek model is a very popular individual based model which describes collective behavior among animal societies. A macroscopic version of the Vicsek model has been derived fro…