Isogeometric fluid-structure interaction: theory, algorithms, and computations

We present a fully-coupled monolithic formulation of the fluid-structure interaction of an incompressible fluid on a moving domain with a nonlinear hyperelastic solid. The arbitrary Lagrangian–Eulerian description is utilized for the fluid subdomain and the Lagrangian description is utilized for the...

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Bibliographic Details
Published in:Computational mechanics Vol. 43; no. 1; pp. 3 - 37
Main Authors: Bazilevs, Y., Calo, V. M., Hughes, T. J. R., Zhang, Y.
Format: Journal Article
Language:English
Published: Berlin/Heidelberg Springer-Verlag 01.12.2008
Springer Nature B.V
Subjects:
Algorithms
Classical and Continuum Physics
Computational fluid dynamics
Computational Science and Engineering
Conservation equations
Derivation
Discretization
Engineering
Fluid flow
Fluid-structure interaction
Incompressible flow
Incompressible fluids
Original Paper
Theoretical and Applied Mechanics
Time integration
Isogeometric analysis
Space-time Piola transformation
Mesh movement
Moving domains
Hyperelastic solids
Shape derivatives
Fluid-structure interaction
Cardiovascular modeling
Blood flow
Incompressible fluids
NURBS
ISSN:0178-7675, 1432-0924
Online Access:Get full text
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Summary:We present a fully-coupled monolithic formulation of the fluid-structure interaction of an incompressible fluid on a moving domain with a nonlinear hyperelastic solid. The arbitrary Lagrangian–Eulerian description is utilized for the fluid subdomain and the Lagrangian description is utilized for the solid subdomain. Particular attention is paid to the derivation of various forms of the conservation equations; the conservation properties of the semi-discrete and fully discretized systems; a unified presentation of the generalized- α time integration method for fluid-structure interaction; and the derivation of the tangent matrix, including the calculation of shape derivatives. A NURBS-based isogeometric analysis methodology is used for the spatial discretization and three numerical examples are presented which demonstrate the good behavior of the methodology.
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ISSN:0178-7675
1432-0924
DOI:10.1007/s00466-008-0315-x