Numerical models of surface tension play an increasingly important role in our capacity to
understand and predict a wide range of multiphase flow problems. The accuracy and …

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

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

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 …

Interface problems arise in many applications. For example, when there are two different
materials, such as water and oil, or the same material but at different states, such as water …

The sharp-interface CURVIB approach of Ge and Sotiropoulos [L. Ge, F. Sotiropoulos, A
numerical method for solving the 3D unsteady incompressible Navier–Stokes equations in …

We have introduced a modified penalty approach into the flow-structure interaction solver
that combines an immersed boundary method (IBM) and a multi-block lattice Boltzmann …

An immersed boundary method for the incompressible Navier–Stokes equations in irregular
domains is developed using a local ghost cell approach. This method extends the solution …

The present study is to apply the immersed-boundary method to simulate 2-and 3-D viscous
incompressible flows interacting with moving solid boundaries. Previous studies indicated …

A direct-forcing fictitious domain (DF/FD) method for the simulation of particulate flows is
reported. The new method is a non-Lagrange-multiplier version of our previous DLM/FD …