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A Mass Conserving Wind Model Evaluation With Finite Element
Umeå University, Faculty of Science and Technology, Department of Physics.
2013 (English)Independent thesis Advanced level (degree of Master (Two Years)), 20 credits / 30 HE creditsStudent thesisAlternative title
Utvärdering av en massbevarande vindmodell löst med finita element (Swedish)
Abstract [en]

This work describes a method of approximating a wind field for an

urban environment for the purpose of dispersion modelling. Instead of

using the classic Navier Stokes equation, a mass conserving wind model is

evaluated. The model uses an empirical diagnostic study to approximate

a stationary windfield that is forced to be convergence free using a least

square variational technique. This work has shown that there is a way to

approximate the mass conserving wind field for a large urban environment

using Comsol Multiphysics and the Finite Element Method. Compared

to wind tunnel experiment the large features of the main flow are present

but the wind speed is underestimated. Among the iterative solvers tested

Multi grid and Conjugate Gradient performed best. An urban city with

2 100 000 degrees of freedom had a solution time of around three minutes.

Abstract [sv]

Detta arbete testar och utvärderar en metod for att approximera ett

stationärt vind fält i en urban miljö i syfte att användas for spridnings

beräkningar. Istället for att använda Navier Stokes ekvation används en

massbevarande modell. Denna modell använder empirisk information for

att approximera vind fältet. Fältet görs sedan massbevarande. Detta arbete

visar att det ar möjligt att lösa modellen med Finita Element och

Comsol Multiphysics för stora urbana miljöer på kort tid. Jämförelser med

vindtunnel experiment visar att de stora virvlarna är synliga men att hastigheterna

är lägre. Bland de iterativa lösarna som användes presterade

Multigrid och Conjugat Gradient metoden bäst. En urban miljö med

2 100 000 frihetsgrader hade en lösningstid på ca 3 minuter.

Place, publisher, year, edition, pages
2013. , 46 p.
National Category
Other Physics Topics Computational Mathematics
URN: urn:nbn:se:umu:diva-80406OAI: diva2:648933
External cooperation
Subject / course
Examensarbete i teknisk fysik
Educational program
Master of Science Programme in Engineering Physics
Available from: 2013-09-18 Created: 2013-09-17 Last updated: 2013-09-18Bibliographically approved

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