62 citations · 316 across the 26 of their papers we have counts for
27 papers
The spatial organization of wind turbine wakes
Janka Lengyel, Stéphane G. Roux, Patrice Abry +4
Wind turbine wakes play a central role in determining wind farm performance, yet their spatial organization remains only partially understood. Here, we apply a spatially localized…
A non-local traffic flow model for 1-to-1 junctions with buffer
F. A. Chiarello, J. Friedrich, S. GÖttlich
Inthispaper,weintroduceanon-localPDE-ODEtrafficmodeldevotedtothedescriptionof a 1-to-1 junction with buffer. We present an existence result in the free flow case as well as a numer…
Numerical schemes for a class of nonlocal conservation laws: a general approach
Jan Friedrich, Sanjibanee Sudha, Samala Rathan
In this work we present a rather general approach to approximate the solutions of nonlocal conservation laws. In a first step, we approximate the nonlocal term with an appropriate…
Conservation laws with nonlocality in density and velocity and their applicability in traffic flow modelling
Jan Friedrich, Simone Göttlich, Alexander Keimer +1
In this work we present a nonlocal conservation law with a velocity depending on an integral term over a part of the space. The model class covers already existing models in litera…
Conservation laws with nonlocal velocity -- the singular limit problem
Jan Friedrich, Simone Göttlich, Alexander Keimer +1
We consider conservation laws with nonlocal velocity and show for nonlocal weights of exponential type that the unique solutions converge in a weak or strong sense (dependent on th…
Lyapunov stabilization of a nonlocal LWR traffic flow model
Jan Friedrich
Using a nonlocal macroscopic LWR-type traffic flow model, we present an approach to control the nonlocal velocity towards a given equilibrium velocity. Therefore, we present a Lyap…