Supervisor Name
Olga Trichtchenko
Keywords
blood flow, travelling waves, nonlinear waves
Description
Traditional methods for modelling blood flow are often prohibitively computationally expensive, particularly in the case of blood vessels with elastic walls. This is because such methods rely on computing a mesh based on the vessel geometry and then recomputing the mesh when the geometry changes. We plan to change this approach by adapting methodology available from analysing free boundary problems where coordinate transformations are used to setup the problem in terms of the moving boundary instead.
The work thus far focuses on; studying free boundary formulations, particularily for travelling waves on a cylindrical geometry, found in the literature; alongside studying/assessing software packages already available for blood flow modelling.
Acknowledgements
Thank you to Dr. Olga Trichtchenko and the research group, the USRI program, and the Department of Physics and Astronomy for their support throughout the summer.
Creative Commons License
This work is licensed under a Creative Commons Attribution-Noncommercial-No Derivative Works 4.0 License.
Document Type
Poster
Modelling Travelling Waves on Elastic Blood Vessels
Traditional methods for modelling blood flow are often prohibitively computationally expensive, particularly in the case of blood vessels with elastic walls. This is because such methods rely on computing a mesh based on the vessel geometry and then recomputing the mesh when the geometry changes. We plan to change this approach by adapting methodology available from analysing free boundary problems where coordinate transformations are used to setup the problem in terms of the moving boundary instead.
The work thus far focuses on; studying free boundary formulations, particularily for travelling waves on a cylindrical geometry, found in the literature; alongside studying/assessing software packages already available for blood flow modelling.