Various realizations of variational multiscale (VMS) methods for simulating turbulent
incompressible flows have been proposed in the past fifteen years. All of these realizations …

Incompressible flow problems appear in many models of physical processes and
applications. Their numerical simulation requires in particular a spatial discretization. Finite …

This is an overview of the new directions we have taken the space–time (ST) methods in
bringing solution and analysis to different classes of computationally challenging …

In this paper, we develop a geometrically flexible technique for computational fluid–structure
interaction (FSI). The motivating application is the simulation of tri-leaflet bioprosthetic heart …

We propose a framework that combines variational immersed-boundary and arbitrary
Lagrangian–Eulerian methods for fluid–structure interaction (FSI) simulation of a …

This paper builds on a recently developed immersogeometric fluid–structure interaction
(FSI) methodology for bioprosthetic heart valve (BHV) modeling and simulation. It enhances …

In this paper we present an isogeometric formulation for rotation-free thin shell analysis of
structures comprised of multiple patches. The structural patches are C1-or higher-order …

In this paper we develop a framework for fluid–structure interaction (FSI) modeling and
simulation with emphasis on isogeometric analysis (IGA) and non-matching fluid–structure …

In this paper we present our aerodynamics and fluid–structure interaction (FSI)
computational techniques that enable dynamic, fully coupled, 3D FSI simulation of wind …

In this two‐part paper we present a collection of numerical methods combined into a single
framework, which has the potential for a successful application to wind turbine rotor …