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Well Posed, Stable and Weakly Coupled Fluid Structure Interaction Problems
Uppsala University.
Uppsala University.ORCID iD: 0000-0003-1216-1672
2009 (English)Report (Other academic)
Abstract [en]

We investigate problems of fluid structure interaction type and aim for a formulation that leads to a well posed problem and a stable numerical procedure. Our first objective is to investigate if the generally accepted formulations of the FSI problems are the only possible ones.

Our second objective is to derive a numerical coupling which is truly stable. To accomplish that we will use a weak coupling procedure and employ summation- by-parts operators and penalty terms. We compare the weak coupling with other common procedures. We also study the effect of high order accurate schemes.

In multiple dimensions this is a formidable task and for that reason we start by investigating the simplest possible model problem available. As a flow model we use the linearized Euler equations in one dimension and as the structure model we consider a spring.

Place, publisher, year, edition, pages
Uppsala Universitet, Institutionen för informationsteknologi , 2009. , p. 20
Series
Tecnical Report ; 2009-011
National Category
Computational Mathematics
Research subject
Mathematics, Applied Mathematics
Identifiers
URN: urn:nbn:se:lnu:diva-77781OAI: oai:DiVA.org:lnu-77781DiVA, id: diva2:1248206
Available from: 2018-09-14 Created: 2018-09-14 Last updated: 2018-10-10Bibliographically approved

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Eriksson, Sofia

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