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Two new ways to couple scalar conservation laws on networks are
presented. We first discuss a numerically motivated approach, for which
a scheme is derived using the relaxation system introduced in [Jin and
Xin, Comm. Pure Appl. Math. 48(3), 235-276 (1995)] and taking the
relaxation limit also at the nodes of the network. The scheme is mass
conservative, allows for a second order extension and yields well defined
and easy-to-compute coupling conditions for general networks. The second
approach focuses on the traffic flow model by Lighthill, Witham and
Richards in a network setting. The choice of coupling conditions imposed
at the junctions has been a major challenge in the modeling. Using car
trajectory data obtained from drone photography over various German free
ways we develop new data-driven coupling conditions, which we compare to
classical approaches from literature.

Wann?

01. Dezember 2022, 14:00-15:00

Wo?

S4|10 314
Dolivostr. 15
64293 Darmstadt

Veranstalter

AG Numerik und wissenschaftliches Rechnen

 

01
Dezember
2022
14:00-15:00

Tags

Mathematik, Numerik