665 RWTH Publication No: 989734        2024       
TITLE Influx ratio preserving coupling conditions for the networked Lighthill-Whitham-Richards model
AUTHORS Niklas Kolbe
ABSTRACT Aspiration thrombectomy is a treatment option for ischemic stroke due to occlusions in large vessels. During the therapy a device is inserted into the vessel and suction is applied. A new one-dimensional model is introduced that is capable of simulating this procedure while accounting for the fluid-structure interactions in blood flow. To solve the coupling problem at the tip of the device a problem-suited Riemann solver is constructed based on relaxation of the hyperbolic model. Numerical experiments investigating the role of the catheter size and the suction forces are presented.
KEYWORDS Macroscopic traffic flow models, coupling conditions, hyperbolic conservation laws