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Immersed boundary methods for simulating fluid–structure interaction
Fluid–structure interaction (FSI) problems commonly encountered in engineering and
biological applications involve geometrically complex flexible or rigid bodies undergoing …
biological applications involve geometrically complex flexible or rigid bodies undergoing …
The cardiovascular system: mathematical modelling, numerical algorithms and clinical applications
Mathematical and numerical modelling of the cardiovascular system is a research topic that
has attracted remarkable interest from the mathematical community because of its intrinsic …
has attracted remarkable interest from the mathematical community because of its intrinsic …
[كتاب][B] Isogeometric analysis: toward integration of CAD and FEA
JA Cottrell, TJR Hughes, Y Bazilevs - 2009 - books.google.com
“The authors are the originators of isogeometric analysis, are excellent scientists and good
educators. It is very original. There is no other book on this topic.”—René de Borst …
educators. It is very original. There is no other book on this topic.”—René de Borst …
Isogeometric analysis using T-splines
We explore T-splines, a generalization of NURBS enabling local refinement, as a basis for
isogeometric analysis. We review T-splines as a surface design methodology and then …
isogeometric analysis. We review T-splines as a surface design methodology and then …
Isogeometric finite element data structures based on Bézier extraction of NURBS
We present the B'ezier extraction operator and isogeometric Bézier elements for non‐
uniform rational B‐Spline (NURBS)‐based isogeometric analysis. The Bézier extraction …
uniform rational B‐Spline (NURBS)‐based isogeometric analysis. The Bézier extraction …
Variational multiscale residual-based turbulence modeling for large eddy simulation of incompressible flows
We present an LES-type variational multiscale theory of turbulence. Our approach derives
completely from the incompressible Navier–Stokes equations and does not employ any ad …
completely from the incompressible Navier–Stokes equations and does not employ any ad …
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 …
incompressible fluid on a moving domain with a nonlinear hyperelastic solid. The arbitrary …
Isogeometric boundary element analysis using unstructured T-splines
We couple collocated isogeometric boundary element methods and unstructured analysis-
suitable T-spline surfaces for linear elastostatic problems. We extend the definition of …
suitable T-spline surfaces for linear elastostatic problems. We extend the definition of …
Isogeometric shell analysis: the Reissner–Mindlin shell
A Reissner–Mindlin shell formulation based on a degenerated solid is implemented for
NURBS-based isogeometric analysis. The performance of the approach is examined on a …
NURBS-based isogeometric analysis. The performance of the approach is examined on a …
Fluid–structure interaction analysis of bioprosthetic heart valves: significance of arterial wall deformation
We propose a framework that combines variational immersed-boundary and arbitrary
Lagrangian–Eulerian methods for fluid–structure interaction (FSI) simulation of a …
Lagrangian–Eulerian methods for fluid–structure interaction (FSI) simulation of a …