21 citations · 21 across the 5 of their papers we have counts for
5 papers
A multi-class kinetic traffic flow model: discrete-velocity formulation and diffusively-corrected macroscopic limits
Carmen Mezquita-Nieto, Paola Goatin, Axel Klar
This paper introduces a multi-class extension of a discrete-velocity kinetic traffic flow model based on a non-local Prigogine-Herman framework. We derive a hyperbolically scaled s…
Discrete adjoint gradient computation for multiclass traffic flow models on road networks
Paola Goatin, Axel Klar, Carmen Mezquita-Nieto
This paper applies a discrete adjoint gradient computation method for a multi-class traffic flow model on road networks. Vehicle classes are characterized by their specific velocit…
A spectral approach to interface layers on networks for the linearized BGK equation and its acoustic limit
Raul Borsche, Tobias Damm, Axel Klar +1
We consider in this paper a velocity discretized version of the full linear kinetic BGK model and the corresponding limit for small Knudsen number, the linearised Euler or acoustic…
Interface layers and coupling conditions for discrete kinetic models on networks: a spectral approac
Raul Borsche, Tobias Damm, Axel Klar +1
We consider kinetic and related macroscopic equations on networks. A class of linear kinetic BGK models is considered, where the limit equation for small Knudsen numbers is given b…
Flooding in urban drainage systems: Coupling hyperbolic conservation laws for sewer systems and surface flow
Raul Borsche, Axel Klar
In this paper we propose a model for a sewer network coupled to surface flow and investigate it numerically. In particular, we present a new model for the manholes in storm sewer s…