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Micro-Macro Simulation of Shallow Water Moment Equations

Rožek, Vilém (2025) Micro-Macro Simulation of Shallow Water Moment Equations. Bachelor's Thesis, Applied Mathematics.

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Abstract

Shallow flow systems are commonly modelled using the shallow water equations. These are often very inaccurate. For that reason, a model called shallow water moment equations has been developed. This model is more computationally expensive but significantly more accurate. To speed up computation of a model, the micro-macro method may be used. The micro-macro method switches between two models of varying accuracy. In this paper we formulate the micro-macro method for shallow water moment equations. We perform theoretical analysis of the method and present a series of results. The micro-macro method achieves a significant speed-up while retaining a sufficient level of accuracy.

Item Type: Thesis (Bachelor's Thesis)
Supervisor name: Koellermeier, J. and Verstappen, R.W.C.P.
Degree programme: Applied Mathematics
Thesis type: Bachelor's Thesis
Language: English
Date Deposited: 27 Jun 2025 09:53
Last Modified: 27 Jun 2025 09:53
URI: https://fse.studenttheses.ub.rug.nl/id/eprint/35556

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