5 papers
Space mapping-based optimization with the macroscopic limit of interacting particle systems
Jennifer Weißen, Simone Göttlich, Claudia Totzeck
We propose a space mapping-based optimization algorithm for microscopic interacting particle dynamics which are inappropriate for direct optimization. This is of relevance for exam…
Density dependent diffusion models for the interaction of particle ensembles with boundaries
Jennifer Weissen, Simone Göttlich, Dieter Armbruster
The transition from a microscopic model for the movement of many particles to a macroscopic continuum model for a density flow is studied. The microscopic model for the free flow i…
Second-order traffic flow models on networks
Simone Göttlich, Michael Herty, Salissou Moutari +1
This paper deals with the Aw-Rascle-Zhang model for traffic flow on uni-directional road networks. For the conservation of the mass and the generalized momentum, we construct weak…
A combined first and second order model for a junction with ramp buffer
Jennifer Weißen, Oliver Kolb, Simone Göttlich
Second order macroscopic traffic flow models are able to reproduce the so-called capacity drop effect, i.e., the phenomenon that the outflow of a congested region is substantially…
Well-posedness of a non-local model for material flow on conveyor belts
Elena Rossi, Jennifer Kötz, Paola Goatin +1
In this paper, we focus on finite volume approximation schemes to solve a non-local material flow model in two space dimensions. Based on the numerical discretisation with dimensio…