Numerical Simulation of Uncertainty Quantification for Shallow Water Models

Machado Goncalves, L. (2025) Numerical Simulation of Uncertainty Quantification for Shallow Water Models. Bachelor's Thesis, Applied Mathematics.

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Abstract

The aim of this thesis is to perform uncertainty quantification in free-surface flow simulations by employing a stochastic Galerkin formulation to the Shallow Water Equations, a set of hyperbolic partial differential equations that describe fluid flow beneath a pressure surface. The study investigates the influence of uncertain parameters, such as viscosity and friction coefficients, on the evolution of water dynamics in natural systems such as oceans and rivers. Instead of treating viscosity as a fixed parameter, we model it as an uncertain quantity and analyse its impact on flow behaviour. The numerical simulations will be extended to recently developed Shallow Water Moment Equations for comparison with the traditional Shallow Water Equations. Additionally, we will assess the behaviour of both Shallow Water Equations and Shallow Water Moment Equations under different initial conditions, specifically the dam-break and smooth periodic cases, to evaluate their ability to produce accurate free-surface flow predictions.

Item Type:	Thesis (Bachelor's Thesis)
Supervisor name:	Koellermeier, J. and Bertoglio, C.A. and Kuijpers, S.A.
Degree programme:	Applied Mathematics
Thesis type:	Bachelor's Thesis
Language:	English
Date Deposited:	10 Mar 2025 09:29
Last Modified:	10 Mar 2025 09:29
URI:	https://fse.studenttheses.ub.rug.nl/id/eprint/34852

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