Bruinsma, Jesse (2024) The effect of vegetation on water flow. Bachelor's Thesis, Applied Mathematics.
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Abstract
Shallow water moment equations are a set of partial differential equations which can describe the water flow accurately by allowing different horizontal velocities over the vertical scale. These equations where derived from the incompressible Navier-Stokes equation. What these models do not take into account is aquatic vegetation in rivers. Vegetation can appear in various types and shapes and each interact with the water flow differently. In this paper the important ideas for deriving the shallow moment system will be reviewed. Using these ideas the shallow water moment system with rigid submerged and emergent vegetation will be derived by including a friction term for the vegetation in the momentum balance equation. In this new model the friction increase over the vegetation height gives logical and explainable observations.
| Item Type: | Thesis (Bachelor's Thesis) |
|---|---|
| Supervisor name: | Koellermeier, J. and Wubs, F.W. and Verbiest, R. |
| Degree programme: | Applied Mathematics |
| Thesis type: | Bachelor's Thesis |
| Language: | English |
| Date Deposited: | 10 Jul 2024 12:00 |
| Last Modified: | 10 Jul 2024 12:00 |
| URI: | https://fse.studenttheses.ub.rug.nl/id/eprint/33188 |
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