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

Fluid–structure interaction is ubiquitous in nature and occurs at all biological scales.
Immersed methods provide mathematical and computational frameworks for modeling fluid …

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 …

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

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 …

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 …

Large-eddy simulation is performed to study the turbulence statistics and flow structures of
the water past a rotating axial-flow pump under different flow-rate working conditions. A …

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 …

Gas-solid flows in nature and industrial applications are characterized by multiscale and
nonlinear interactions that manifest as rich flow physics and pose unique modeling …

Mathematical and numerical modelling of the human cardiovascular system has attracted
remarkable research interest due to its intrinsic mathematical difficulty and the increasing …