Skip to main content
Fachgebiete
Automobil + Motoren Bauwesen + Immobilien Business IT + Informatik Elektrotechnik + Elektronik Energie + Nachhaltigkeit Finance + Banking Management + Führung Marketing + Vertrieb Maschinenbau + Werkstoffe Versicherung + Risiko
DE
EN
Bücher
Zeitschriften
Themenseiten
Organisationspsychologie Projektmanagement Marketing Smart Manufacturing
Weitere Formate
Podcasts Webinare Technik Webinare Wirtschaft Kongresse Veranstaltungskalender Awards
Jetzt Einzelzugang starten
Zugang für Unternehmen
Referenzkunden
SLX-Digitalkonferenz: Zukunftswerkstatt 2024

Mehr Umsatz mit Top-Kontakten

Am 7. Mai erfahren Sie, wie Vertriebsteams Leadgenerierung, Leadnurturing und Leadstrategien effizient steuern können.
Erweiterte Suche
Anmelden
nach oben
Computational Mechanics
Erschienen in: Computational Mechanics 1/2014

01.01.2014 | Original Paper

Flapping and contact FSI computations with the fluid–solid interface-tracking/interface-capturing technique and mesh adaptivity

verfasst von: Thomas Wick

Erschienen in: Computational Mechanics | Ausgabe 1/2014

Einloggen

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config
loading …

Abstract

The fluid–solid interface-tracking/interface-capturing technique (FSITICT) with arbitrary Lagrangian–Eulerian interface-tracking and Eulerian interface-capturing is applied to computations of fluid–structure interaction problems with flapping and contact. The two-dimensional model with contacting flaps is intended to represent a valve problem from biomechanics. The FSITICT is complemented with local mesh adaptivity, which significantly increases the performance of the interface-capturing component of the method. The test computations presented demonstrate how our approach works.
Vorheriger Artikel A method based on small amplitude homogenization for detecting defects using elastic waves
Nächster Artikel XLME interpolants, a seamless bridge between XFEM and enriched meshless methods

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Jetzt informieren

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Jetzt informieren
Literatur
1.
Akin JE, Tezduyar T, Ungor M (2007) Computation of flow problems with the mixed interface-tracking/interface-capturing technique (MITICT). Comput Fluids 36:2–11CrossRefMATH
2.
Asterino M, Gerbeau JF, Pantz O, Traoré KF (2009) Fluid-structure interaction and multi-body contact: application to aortic valves. Comput Methods Appl Mech Eng 198:3603–3612CrossRef
3.
Bangerth W, Heister T, Kanschat G (2012) Differential Equations Analysis Library.
4.
Becker R, Rannacher R (1996) A feed-back approach to error control in finite element methods: basic analysis and examples. East-West J Numer Math 4:237–264MATHMathSciNet
5.
Belytschko T, Parimi C, Moes N, Sukumar N, Usui S (2003) Structured extended finite element methods for solids defined by implicit surfaces. Int J Numer Methods Eng 56:609–635CrossRefMATH
6.
Berenger J (1994) A perfectly matched layer for the absorption of electromagnetic waves. J Comput Phys 114.
7.
Brooks A, Hughes T (1982) Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations. Comput Methods Appl Mech Eng 32(1–3):199–259CrossRefMATHMathSciNet
8.
9.
Ciarlet PG (1984) Mathematical elasticity. Volume 1: three dimensional elasticity. North-Holland
10.
Ciarlet PG (1987) The finite element method for elliptic problems, 2. pr. edn. North-Holland, Amsterdam [u.a.].
11.
Cottet GH, Maitre E, Mileent T (2008) Eulerian formulation and level set models for incompressible fluid-structure interaction. Math Model Numer Anal 42:471–492CrossRefMATH
12.
Cruchaga M, Celentano D, Tezduyar T (2007) A numerical model based on the mixed interface-tracking/ interface-capturing technique (MITICT). Int J Numer Methods Fluids 54:1021–1030CrossRefMATH
13.
Donéa J, Fasoli-Stella P, Giuliani S (1977) Lagrangian and Eulerian finite element techniques for transient fluid-structure interaction problems. In: Trans. 4th Int. Conf. on Structural Mechanics in Reactor Technology, p. Paper B1/2
14.
Dunne T (2006) An Eulerian approach to fluid-structure interaction and goal-oriented mesh adaption. Int J Numer Methods Fluids 51:1017–1039CrossRefMATHMathSciNet
15.
Fernández F, Moubachir M (2005) A Newton method using exact Jacobians for solving fluid-structure coupling. Comput Struct 83:127–142CrossRef
16.
Formaggia L, Gerbeau JF, Nobile F, Quarteroni A (2001) On the coupling of 3d and 1d Navier-Stokes equations for flow problems in compliant vessels. Comput Methods Appl Mech Eng 191:561–582CrossRefMATHMathSciNet
17.
Formaggia L, Quarteroni A, Veneziani A (2009) Cardiovascular mathematics: modeling and simulation of the circulatory system. Springer, Italia, MilanoCrossRef
18.
Fung Y (1984) Biodynamics: circulation, first ed. edn. Springer, Berlin.
19.
Gazzola F, Squassina M (2006) Global solutions and finite time blow up for damped semilinear wave equations. Ann I H Poincaré 23:185–207CrossRefMATHMathSciNet
20.
Gil AJ, Carreno AA, Bonet J, Hassan O (2010) The immersed structural potential method for haemodynamic applications. J Comput Phys 229:8613–8641CrossRefMATHMathSciNet
21.
Girault V, Raviart PA (1986) Finite element method for the Navier-Stokes equations. Number 5 in computer series in computational mathematics. Springer, Berlin.
22.
He P, Qiao R (2011) A full-Eulerian solid level set method for simulation of fluid-structure interactions. Microfluid Nanofluid 11:557–567CrossRef
23.
Heywood JG, Rannacher R, Turek S (1996) Artificial boundaries and flux and pressure conditions for the incompressible Navier-Stokes equations. Int J Numer Methods Fluids 22:325–352CrossRefMATHMathSciNet
24.
Hirt C, Amsden A, Cook J (1974) An arbitrary Lagrangian-Eulerian computing method for all flow speeds. J Comput Phys 14:227–253CrossRefMATH
25.
Hughes T, Liu W, Zimmermann T (1981) Lagrangian-Eulerian finite element formulation for incompressible viscous flows. Comput Methods Appl Mech Eng 29:329–349CrossRefMATHMathSciNet
26.
Johnson A, Tezduyar T (1999) Advanced mesh generation and update methods for 3D flow simulations. Comp Mech 23:130–143CrossRefMATH
27.
Johnson A, Tezduyar T (2001) Methods for 3D computation of fluid-object interactions in spatially-periodic flows. Comput Methods Appl Mech Eng 190:3201–3221CrossRefMATH
28.
Johnson AA, Tezduyar T (1996) 3D simulation of fluid-particle interactions with the number of particles reaching 100. Comput Methods Appl Mech Eng 145:301–321CrossRefMathSciNet
29.
Johnson AA, Tezduyar T (1996) Simulation of multiple spheres falling in a liquid-filled tube. Comput Methods Appl Mech Eng 134:351–373CrossRefMATHMathSciNet
30.
Moes N, Dolbow J, Belytschko T (1999) A finite element method for crack growth without remeshing. Int J Numer Methods Eng 46:131–150CrossRefMATH
31.
Moghadam ME, Bazilevs Y, Hsia TY, Vignon-Clementel IE, Marsden AL (2011) A comparison of outlet boundary treatments for prevention of backflow divergence with relevance to blood flow simulations. Comput Mech 48:277–291CrossRefMATHMathSciNet
32.
Noh W (1964) A time-dependent two-space-dimensional coupled Eulerian-Lagrangian code, Methods Comput Phys, vol 3, 31st edn. Academic Press, New York
33.
Quarteroni A (2006) What mathematics can do for the simulation of blood circulation. Tech. rep, MOX Institute, Milano
34.
Rannacher R (1986) On the stabilization of the Crank-Nicolson scheme for long time calculations. Preprint
35.
Richter T (2012) A fully Eulerian formulation for fluid-structure interaction problems. J Comput Phys 233:227–240CrossRef
36.
Richter T, Wick T (2010) Finite elements for fluid-structure interaction in ALE and fully Eulerian coordinates. Comput Methods Appl Mech Eng 199:2633–2642CrossRefMATHMathSciNet
37.
Santos NDD, Gerbeau JF, Bourgat J (2008) A partitioned fluid-structure algorithm for elastic thin valves with contact. Comput Methods Appl Mech Eng 197(19–20):1750–1761CrossRefMATH
38.
Sathe S, Tezduyar T (2008) Modeling of fluid-structure interactions with the space-time finite elements: contact problems. Comput Mech 43:51–60CrossRefMATHMathSciNet
39.
Sugiyama K, Li S, Takeuchi S, Takagi S, Matsumato Y (2011) A full Eulerian finite difference approach for solving fluid-structure interacion. J Comput Phys 230:596–627CrossRefMATHMathSciNet
40.
Takagi S, Sugiyama K, Matsumato Y (2012) A review of full Eulerian mehtods for fluid structure interaction problems. J Appl Mech 79(1):010911CrossRef
41.
Takizawa K, Tezduyar T (2012) Computational methods for parachute fluid-structure interactions. Arch Comput Methods Eng 19:125–169CrossRefMathSciNet
42.
Takizawa K, Wright S, Moorman C, Tezduyar T (2011) Fluid-structure interaction modeling of parachute clusters. Int J Numer Methods Fluids 65:286–307CrossRefMATH
43.
Takizawa K, Fritze M, Montes D, Spielman T, Tezduyar T (2012) Fluid-structure interaction modeling of ringsail parachutes with disreefing and modified geometric porosity. Comput Mech 50:835–854CrossRefMATH
44.
Takizawa K, Henicke B, Puntel A, Kostov N, Tezduyar T (2012) Space-time techiques for computational aerodynamics modeling of flapping wings of an actual locust. Comput Mech 50:743–760CrossRefMATH
45.
Takizawa K, Henicke B, Puntel A, Spielman T, Tezduyar T (2012) Space-time techiques for the aerodynamics of flapping wings. J Appl Mech 79:010903CrossRef
46.
Takizawa K, Kostov N, Puntel A, Henicke B, Tezduyar T (2012) Space-time computational analysis of bio-inspired flapping-wing aerodynamics of a micro aerial vehicle. Comput Mech 50:761–778CrossRefMATH
47.
Takizawa K, Spielman T, Tezduyar T (2011) Space-time FSI modeling and dynamical analysis of spacecraft parachutes and parachute clusters. Comput Mech 48:345–364CrossRefMATH
48.
49.
Tezduyar T (2001) Finite element methods for flow problems with moving boundaries and interfaces. Arch Comput Methods Eng 8(2):83–130CrossRefMATHMathSciNet
50.
Tezduyar T (2003) Computation of moving boundaries and interfaces and stabilization parameters. Int J Numer Methods Fluids 43:555–575CrossRefMATHMathSciNet
51.
Tezduyar T (2006) Interface-tracking and interface-capturing techniques for finite element computation of moving boundaries and interfaces. Comput Methods Appl Mech Eng 195:2983–3000CrossRefMATHMathSciNet
52.
Tezduyar T, Aliabadi S (2000) EDICT for 3D computation of two-fluid interfaces. Comput Methods Appl Mech Eng 190:403–410CrossRefMATH
53.
Tezduyar T, Sathe S (2007) Modeling of fluid-structure interactions with the space-time finite elements: solution techniques. Int J Numer Methods Fluids 54:855–900CrossRefMATHMathSciNet
54.
Tezduyar T, Behr M, Liou J (1992) A new strategy for finite element computations involving moving boundaries and interfaces–the deforming-spatial-domain/space-time procedure: I. The concept and the preliminary numerical tests. Comput Methods Appl Mech Eng 94:339–351CrossRefMATHMathSciNet
55.
Tezduyar T, Behr M, Mittal S, Liou J (1992) A new strategy for finite element computations involving moving boundaries and interfaces—the deforming-spatial-domain/space-time procedure: II. Computation of free-surface flows, two-liquid flows, and flows with drifting cylinders. Comput Methods Appl Mech Eng 94:353–371CrossRefMATHMathSciNet
56.
Tezduyar T, Aliabadi S, Behr M (1998) Enhanced-discretization interface-capturing technique (EDICT) for computation of unsteady flows with interfaces. Comput Methods Appl Mech Eng 155:235–248CrossRefMATH
57.
Tezduyar T, Sathe S, Keedy R, Stein K (2006) Space-time finite element techniques for computation of fluid-structure interactions. Comput Methods Appl Mech Eng 195:2002–2027CrossRefMATHMathSciNet
58.
Tezduyar T, Sathe S, Stein K (2006) Solution techniques for the fully discretized equations in computation of fluid-structure interaction with space-time formulations. Comput Methods Appl Mech Eng 195(41–43):5743–5753CrossRefMATHMathSciNet
59.
Tezduyar T, Takizawa K, Moorman C, Wright S, Christopher J (2010) Space-time finite element computation of complex fluid-structure interaction. Int J Numer Meth Fluids 64:1201–1218CrossRefMATH
60.
Wick T (2011) Adaptive finite element simulation of fluid-structure interaction with application to Heart-Valve Dynamics. Ph.D. thesis, University of Heidelberg
61.
Wick T (2011) Fluid-structure interactions using different mesh motion techniques. Comput Struct 89(13–14):1456–1467CrossRef
62.
Wick T (2012) Coupling of fully Eulerian with arbitrary Lagrangian-Eulerian coordinates for fluid-structure interaction. Preprint
63.
64.
Wick T (2012) Goal-oriented mesh adaptivity for fluid-structure interaction with application to heart-valve settings. Arch Mech Eng 59(6):73–99MathSciNet
65.
66.
Wick T (2013) Solving monolithic fluid-structure interaction problems in arbitrary Lagrangian Eulerian coordinates with the deal.ii library. Arch Numerl Software 1, 1–19. http://​www.​archnumsoft.​org
67.
Zhao H, Freund J, Moser R (2008) A fixed-mesh method for incompressible flow-structure systems with finite solid deformations. J Comput Phys 227(6):3114–3140CrossRefMATHMathSciNet
Metadaten
Titel
Flapping and contact FSI computations with the fluid–solid interface-tracking/interface-capturing technique and mesh adaptivity
verfasst von
Thomas Wick
Publikationsdatum
01.01.2014
Verlag
Springer Berlin Heidelberg
Erschienen in
Computational Mechanics / Ausgabe 1/2014
Print ISSN: 0178-7675
Elektronische ISSN: 1432-0924
DOI
https://doi.org/10.1007/s00466-013-0890-3

Weitere Artikel der Ausgabe 1/2014

Computational Mechanics 1/2014 Zur Ausgabe

Original Paper

XLME interpolants, a seamless bridge between XFEM and enriched meshless methods

Original Paper

Space–time VMS computation of wind-turbine rotor and tower aerodynamics

Original Paper

Adaptive meshless local maximum-entropy finite element method for convection–diffusion problems

Original Paper

An efficient finite element with layerwise mechanics for smart piezoelectric composite and sandwich shallow shells

Original Paper

Static analysis of offshore risers with a geometrically-exact 3D beam model subjected to unilateral contact

OriginalPaper

24-DOF quadrilateral hybrid stress element for couple stress theory

Neuer Inhalt

    Bildnachweise