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Modeling turbulent flow

Sok, R (2016) Modeling turbulent flow. Bachelor's Thesis, Applied Mathematics.

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Abstract

Fluid flow is mathematically modelled by the Navier-Stokes equations.In this thesis we will focus at turbulent flows. Therefore we will firstlook at the incompressible Navier-Stokes equations. To simulate turbulentflows with the incompressible Navier-Stokes, it is important that the kinetic energy of the flow is conserved. Therefore, we will derive the conservation of the kinetic energy. Then we will discretize the NavierStokesequations using the finite volume method and derive in this casethe kinetic energy. At last we will derive a model called the QR model. Therefore we start with a large eddy simulation(LES), which means we will add a spatial filter to a solution of the incompressible Navier-Stokes equations. From this LES, we will derive an eddy-viscosity model called the QR model.

Item Type: Thesis (Bachelor's Thesis)
Degree programme: Applied Mathematics
Thesis type: Bachelor's Thesis
Language: English
Date Deposited: 15 Feb 2018 08:30
Last Modified: 15 Feb 2018 08:30
URI: http://fse.studenttheses.ub.rug.nl/id/eprint/15538

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