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Adaptive unified continuum FEM modeling of a 3D FSI benchmark problem
KTH, School of Computer Science and Communication (CSC), Computational Science and Technology (CST).ORCID iD: 0000-0002-1695-8809
KTH, School of Computer Science and Communication (CSC).
KTH, School of Computer Science and Communication (CSC), Computational Science and Technology (CST).ORCID iD: 0000-0003-4256-0463
2017 (English)In: International Journal for Numerical Methods in Biomedical Engineering, ISSN 2040-7939, E-ISSN 2040-7947, Vol. 33, no 9, article id e2851Article in journal (Refereed) Published
Abstract [en]

In this paper, we address a 3D fluid-structure interaction benchmark problem that represents important characteristics of biomedical modeling. We present a goal-oriented adaptive finite element methodology for incompressible fluid-structure interaction based on a streamline diffusion–type stabilization of the balance equations for mass and momentum for the entire continuum in the domain, which is implemented in the Unicorn/FEniCS software framework. A phase marker function and its corresponding transport equation are introduced to select the constitutive law, where the mesh tracks the discontinuous fluid-structure interface. This results in a unified simulation method for fluids and structures. We present detailed results for the benchmark problem compared with experiments, together with a mesh convergence study.

Place, publisher, year, edition, pages
Wiley-Blackwell , 2017. Vol. 33, no 9, article id e2851
Keywords [en]
adaptive finite element method, benchmark problem, fluid-structure interaction, Benchmarking, Computer programming, Diffusion in liquids, Finite element method, Mesh generation, Transport properties, Adaptive finite element, Adaptive finite element methods, Bench-mark problems, Bio-medical models, Fluid-structure interfaces, Incompressible fluid-structure interaction, Software frameworks, Streamline diffusion, Fluid structure interaction
National Category
Computer and Information Sciences
Identifiers
URN: urn:nbn:se:kth:diva-216185DOI: 10.1002/cnm.2851ISI: 000409217800004Scopus ID: 2-s2.0-85017639985OAI: oai:DiVA.org:kth-216185DiVA, id: diva2:1160139
Note

QC 20171124

Available from: 2017-11-24 Created: 2017-11-24 Last updated: 2018-05-08Bibliographically approved
In thesis
1. Adaptive Finite Element Methods for Fluid Structure Interaction Problems with Applications to Human Phonation
Open this publication in new window or tab >>Adaptive Finite Element Methods for Fluid Structure Interaction Problems with Applications to Human Phonation
2018 (English)Doctoral thesis, comprehensive summary (Other academic)
Abstract [en]

This work presents a unified framework for numerical solution of Fluid Structure Interaction (FSI) and acoustics problems with focus on human phonation. The Finite Element Method is employed for numerical investigation of partial differential equations that model conservation of momentum and mass. Since the resulting system of equations is very large, an efficient open source high performance implementation is constructed and provided. In order to gain accuracy for the numerical solutions, an adaptive mesh refinement strategy is employed which reduces the computational cost in comparison to a uniform refinement. Adaptive refinement of the mesh relies on computable error indicators which appear as a combination of a computable residual and the solution of a so-called dual problem acting as weights on computed residuals. The first main achievement of this thesis is to apply this strategy to numerical simulations of a benchmark problem for FSI. This FSI model is further extended for contact handling and applied to a realistic vocal folds geometry where the glottic wave formation was captured in the numerical simulations. This is the second achievement in the presented work. The FSI model is further coupled to an acoustics model through an acoustic analogy, for vocal folds with flow induced oscillations for a domain constructed to create the vowel /i/. The comparisons of the obtained pressure signal at specified points with respect to results from literature for the same vowel is reported, which is the final main result presented.

Abstract [sv]

Detta arbete presenterar en enhetlig ram för numerisk lösning av fluid-strukturinteraktion (FSI) och akustikproblem med fokus på det mänskligatalet. En finita elementmetod används för numerisk lösning av de partiella differentialekvationer som beskriver konserveringslagar för moment och massa.Eftersom det resulterande systemet av ekvationer är mycket stort, konstruerasen öppen källkod med hög prestanda. För att få hög noggrannhet i de numeriska lösningarna används en adaptiv nätförfiningsstrategi vilken minskar beräkningskostnaden jämfört med en uniform förfining.Adaptiv förfining av nätet bygger på beräknade felindikatorer som bygger på en kombination av en beräkningsbar residual och lösningen av ett såkallat dualt problem. Den första huvudresultatet av denna avhandling är attutveckla en och validera denna strategi för en FSI-modell i ett benchmarkproblem.Denna FSI-modell utvidgas vidare för att hantera kontaktmekanik, ochanvänds sedan för en realistisk modell av stämbandsstrukturerna där denglottiska vågformationen fångas i de numeriska simuleringarna. Detta är detandra huvudresultatet i det presenterade arbetet.FSI-modellen kopplas också till en akustikmodell genom en akustisk analogi,för modell konstruerad för att skapa vokalen / i /. Den erhållna trycksignaleni ett antal punkter jämförs med resultat från litteraturen, vilket är det slutligahuvudresultatet som presenteras.

Place, publisher, year, edition, pages
Stockholm, Sweden: KTH Royal Institute of Technology, 2018. p. 48
Series
TRITA-EECS-AVL ; 2018:38
Keywords
Fluid Structure Interaction, Finite Element Method, Contact Modeling, Acoustic Coupling, High Performance Computing
National Category
Computational Mathematics
Research subject
Applied and Computational Mathematics
Identifiers
urn:nbn:se:kth:diva-227252 (URN)978-91-7729-764-2 (ISBN)
Public defence
2018-05-23, F3, Sing-Sing, floor 2, KTH Kungliga Tekniska högskolan, Lindstedtsvägen 26, Stockholm, Stockholm, 10:30 (English)
Opponent
Supervisors
Funder
EU, FP7, Seventh Framework Programme, 308874Swedish Foundation for Strategic Research Swedish Research CouncilEU, European Research Council
Note

QC 20180509

Available from: 2018-05-09 Created: 2018-05-08 Last updated: 2018-05-09Bibliographically approved

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Jansson, JohanHoffman, Johan

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