| 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 |
| DOI | 10.1002/pamm.202400197 |
| PUBLICATION | Proceedings in Applied Mathematics and Mechanics Volume 24, Issue 4 |
