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High performance adaptive finite elementmodeling of complex CAD geometry
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
Adaptiv finita-element-modellering av complex CAD-geometri (Swedish)
Abstract [en]

CAD (Computer Aided Design) and finite elementanalysis are of fundamental importance for numerical simulations. The generalapproach is to design a model using CAD software, create a mesh of a domainthat includes this model and use finite element analysis to perform simulationson that mesh. When using more advanced simulation techniques, like adaptivefinite element methods, it is more and more desired to use CAD information, notonly for the creation of the initial mesh but also during the simulation. Inthis thesis, an approach is presented how to use CAD data during adaptive mesh refinementin a finite element simulation. An error indicator is presented to find theelements in a mesh, which need to be improved for a better geometricapproximation and it is shown how to integrate the different approaches into anexisting high performance finite element solver

Abstract [sv]

CAD (Computer Aided Design)och finita-element-analys är grundläggande för numerisk simulering. Mankonstruerar en modell med CAD-program, skapar ett beräkningsnät på en domän sominnehåller modellen, och använder finita-elementanalys för beräkningar pånätet. I mer avancerade simuleringar, som för adaptiva finita-element-metoder,är det önskvärt att använda CAD information inte bara för att skapa det förstanätet utan under nätförfiningarna i adaptionen under simuleringen. I dettaarbete presenteras ett sätt att använda CAD-data för adaptiv nätförfining i enfinita-element-simulering. En fel-indikator ges för att hitta de element somska förfinas för att förbättra geometrisk approximation och vi beskriver hur deolika angreppssätten kan integreras i ett finita-element programpaket för högpresterandedatorer

Place, publisher, year, edition, pages
2013. , 60 p.
Series
TRITA-MAT-E, 2013:40
National Category
Computational Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-127543OAI: oai:DiVA.org:kth-127543DiVA: diva2:644628
Subject / course
Scientific Computing
Educational program
Master of Science - Scientific Computing
Uppsok
Physics, Chemistry, Mathematics
Supervisors
Examiners
Available from: 2013-09-01 Created: 2013-09-01 Last updated: 2013-09-01Bibliographically approved

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Numerical Analysis, NA
Computational Mathematics

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CiteExportLink to record
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Citation style
  • apa
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  • de-DE
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  • nn-NB
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Output format
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