Immersed boundary methods (IBMs) are versatile and efficient computational techniques to
solve flow problems in complex geometric configurations that retain the simplicity and …

Droplets abound in nature and technology. In general, they are multicomponent, and, when
out of equilibrium, have gradients in concentration, implying flow and mass transport …

Fluid–structure interaction (FSI) problems commonly encountered in engineering and
biological applications involve geometrically complex flexible or rigid bodies undergoing …

Three-dimensional fluid–structure interaction (FSI) involving large deformations of flexible
bodies is common in biological systems, but accurate and efficient numerical approaches for …

The immersed boundary method is a methodology for dealing with boundary conditions at
fluid–fluid and fluid–solid interfaces. The immersed boundary method has been attracting …

In this review, we introduce immersed boundary (IB) methods for fluid-structure interactions
(FSIs) of rigid and elastic bodies. IB methods impose momentum forcing on an Eulerian …

Over the last few decades, existing Partial Differential Equation (PDE) solvers have
demonstrated a tremendous success in solving complex, non-linear PDEs. Although …

A versatile numerical method is presented to predict the fluid–structure interaction of bodies
with arbitrary thickness immersed in an incompressible fluid, with the aim of simulating …

A parallel computational method for simulating fluid–structure interaction problems involving
large, geometrically nonlinear deformations of thin shell structures is presented and …

A cut-cell method for Cartesian meshes to simulate viscous compressible flows with moving
boundaries is presented. We focus on eliminating unphysical oscillations occurring in …