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Computation of Air-Vortices Based on GPU Technology: Optimizing and Parallelizing a Model for Wake-Vortex Prediction Using OpenCL
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Numerical Analysis, NA.
2013 (English)Independent thesis Advanced level (degree of Master (Two Years)), 20 credits / 30 HE creditsStudent thesisAlternative title
Beräkning av Luftvirvlar med hjälp av GPU-Teknologi (Swedish)
Abstract [en]

This thesis details the refinement and numerical solution of a preexisting model for predicting the strengths and positions of so-called wake-vortices that are generated from the lift of heavy aircraft. The ultimate objective is to implement a numerical scheme for the model that is fast enough

to allow for probabilistic methods, such as Monte Carlosimulations, in order to deal with the inherent uncertainty in input parameters for wake-vortex predictions.

The differential equation system of the wake-vortex model is stated clearly, which has not been done before. The refinement consists in reducing the number of necessary state variables in the differential equation system.

A numerical algorithm based on the mathematical properties of the model is implemented and different ways of optimizing the computations are considered, e.g. through

parallelization.

Finally, a study will be made trying to assess the validity of the results through analyses of the accuracy and of the model’s sensitivity to small input parameter variations.

Abstract [sv]

Detta exjobb avhandlar förfining och numerisk beräkning av en redan existerande modell för förutsägelse av styrka och position hos så kallade wake-virvlar som uppkommer som ett resultat av lyftkraften på stora flygplan. Det långsiktiga målet med arbetet är att implementera en numerisk lösare som är tillräckligt snabb för att möjliggöra probabilistiska metoder, t ex Monte Carlo-simuleringar. Detta för att bättre kunna hantera den generella osäkerhet som råder i input-parametrar vid wake-virvelförutsägelse.

Modellens differentialekvationssystem kommer redogöras för, något som inte gjorts tidigare. Modellförfiningen består i en minskning av antalet tillståndsvariabler i differentialekvationssystem.

En numerisk lösare baserad på modellens inneboende matematiska egenskaper utvecklas och olika sätt att optimera beräkningarna kommer övervägas, t ex genom parallellisering.

Slutligen så kommer även en studie där resultatens giltighet valideras göras genom att undersöka noggrannheten i lösningen samt känsligheten för variationer i inputparametrar.

Place, publisher, year, edition, pages
2013. , 75 p.
Series
TRITA-MAT-E, 2013:07
National Category
Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-118062OAI: oai:DiVA.org:kth-118062DiVA: diva2:604474
External cooperation
AVTECH
Subject / course
Numerical Analysis
Educational program
Master of Science in Engineering -Engineering Physics
Uppsok
Physics, Chemistry, Mathematics
Supervisors
Examiners
Available from: 2013-02-11 Created: 2013-02-11 Last updated: 2013-02-11Bibliographically approved

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CiteExportLink to record
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