Faculty

Science

Supervisor Name

Olga Trichtchenko

Keywords

nonlinear waves, travelling waves, cylindrical waves

Description

Fluid equations are generally quite difficult and computationally-expensive to solve. However, if one is primarily interested in how the surface of the fluid deforms, we can re-formulate the governing equations purely in terms of free surface variables. Reformulating equations in such a way drastically cuts down on computational cost, and may be useful in areas such as modelling blood flow. Here, we study one such free-boundary formulation on a cylindrical geometry.

Acknowledgements

Thank you to Dr. Olga Trichtchenko, the Department of Physics and Astronomy and the Western USRI program for their support throughout the summer. I would also like to thank Dr. Emilian Părău for the insightful discussions during his visit.

Creative Commons License

Creative Commons Attribution-Noncommercial 4.0 License
This work is licensed under a Creative Commons Attribution-Noncommercial 4.0 License

Document Type

Poster

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Travelling Wave Solutions on a Cylindrical Geometry

Fluid equations are generally quite difficult and computationally-expensive to solve. However, if one is primarily interested in how the surface of the fluid deforms, we can re-formulate the governing equations purely in terms of free surface variables. Reformulating equations in such a way drastically cuts down on computational cost, and may be useful in areas such as modelling blood flow. Here, we study one such free-boundary formulation on a cylindrical geometry.

 

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