Isogeometric Fluid–structure Interaction Analysis with Applications to Arterial Blood Flow

By Yuri Bazilevs, Victor Manuel Calo, Yongjie Jessica Zhang, Thomas J. R. Hughes. 2006

714 citations recorded by the source corpus.

Subfields: Computational Mechanics, Computer Graphics and Computer-Aided Design

View Paper: https://www.semanticscholar.org/paper/962a1a302c2c80d6fdddfc03f997421f92d279e1

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In Computational Mechanics

In Computer Graphics and Computer-Aided Design

Citations in the corpus

Isogeometric contact analysis using mortar method (2012, methodology): “The isogeometric analysis has been applied to various fields of numerical analysis: incompressible elastic problems [6], structural vibrations [7, 8] and fluid–structure interaction problems [9, 10].”
Interface projection techniques for fluid–structure interaction modeling with moving-mesh methods (2008, background): “The range of applications varied from pipes [4] to parachutes [6–8, 10,15,16,18], from blood flow [11,14,17,19, 21 ,26,30 ]t o bridges [24] and tents [25].”
Fixed-point fluid–structure interaction solvers with dynamic relaxation (2008, background): “Reliable FSI solvers are demanded in areas as diverse as aeroelasticity [8,21], civil engineering [41 ]o r hemodynamics [ 2 ,16].”
A NURBS-based immersed methodology for fluid–structure interaction (2015, methodology): “IGA has been successfully applied to a large number of fields including body-fitted FSI problems [14, 38], fluid mechanics [39, 40], phase-filed models [26, 41, 42, 43, 44, 45], structural vibrations [46, 47], quasi-incompressible elasticity [48], shell modeling [49, 50], contact problems [51, 52, 5”
Isogeometric analysis using T-splines (2010, methodology): “[30] and further developed in [3,4,6,7,18,19,21,22,27,49,52].”
Isogeometric boundary element analysis using unstructured T-splines (2013, methodology): “A small sampling includes fluids and turbulence [5, 6, 7, 8], fluid-structure interaction [9, 10, 11, 12], incompressibility [13, 14, 15], structural and vibration analysis [16, 3], plates and shells [17, 18, 19, 20, 21], phase-field analysis [22, 23, 24], large deformation structural analysis with ”
Variational multiscale residual-based turbulence modeling for large eddy simulation of incompressible flows (2007, methodology): “This feature was not exploited herein where we focused on the physics of turbulence in simple geometries, but the code we utilized is the same one we have successfully employed in a variety of complex laminar and turbulent, fluid and fluid–structure interaction computations (see [3,4,77]).”
The role of continuity in residual-based variational multiscale modeling of turbulence (2007, methodology): “see [16,36,37]). NURBS-based isogeometric analysis was successfully applied to solve problems of vascular fluidstructure interaction in [ 5 ].”
A generalized finite element formulation for arbitrary basis functions: From isogeometric analysis to XFEM (2010, neutral): “Additional benefits may include higher order accuracy [2, 8, 9, 10, 11, 12, 13, 14], C(1) or higher continuity, and increased robustness [15].”