2 papers
math.NA2025
The Lax-Friedrichs method in one-dimensional hemodynamics
Anika Beckers, Niklas Kolbe
The discretization of reduced one-dimensional hyperbolic models of blood flow using the Lax-Friedrichs method is discussed. Employing the well-established central scheme in this do…
math.NA2024
Influx ratio preserving coupling conditions for the networked Lighthill-Whitham-Richards model
Niklas Kolbe
A new coupling rule for the Lighthill-Whitham-Richards model at merging junctions is introduced that imposes the preservation of the ratio between inflow from a given road to the t…