Stability and instability in the computation of flows with moving immersed boundaries: a comparison of three methods

First-order system least squares (FOSLS) for coupled fluid-elastic problems

Journal of Computational Physics

A feasibility study for discontinuous Galerkin discretization with embedded Dirichlet boundary condition

Applied Numerical Mathematics

Sharp interface Cartesian grid method I: An easily implemented technique for 3D moving boundary computations

Journal of Computational Physics

An immersed interface method for simulating the interaction of a fluid with moving boundaries

Journal of Computational Physics

Unconditionally stable discretizations of the immersed boundary equations

Journal of Computational Physics

An adaptive, formally second order accurate version of the immersed boundary method

Journal of Computational Physics

On the CFL condition for the finite element immersed boundary method

Computers and Structures

Locally corrected semi-Lagrangian methods for Stokes flow with moving elastic interfaces

Journal of Computational Physics

On the stability of the finite element immersed boundary method

Computers and Structures

The immersed interface method for simulating prescribed motion of rigid objects in an incompressible viscous flow

Journal of Computational Physics

An efficient semi-implicit immersed boundary method for the Navier-Stokes equations

Journal of Computational Physics

Removing the stiffness of elastic force from the immersed boundary method for the 2D Stokes equations

Journal of Computational Physics

An immersed interface method for solving incompressible viscous flows with piecewise constant viscosity across a moving elastic membrane

Journal of Computational Physics

A velocity decomposition approach for moving interfaces in viscous fluids

Journal of Computational Physics

Efficient solutions to robust, semi-implicit discretizations of the immersed boundary method

Journal of Computational Physics

An immersed interface method for Stokes flows with fixed/moving interfaces and rigid boundaries

Journal of Computational Physics

An implicit immersed boundary method for three-dimensional fluid-membrane interactions

Journal of Computational Physics

A low numerical dissipation immersed interface method for the compressible Navier-Stokes equations

Journal of Computational Physics

A lattice Boltzmann based implicit immersed boundary method for fluid-structure interaction

Computers & Mathematics with Applications

A multirate time integrator for regularized Stokeslets

Journal of Computational Physics

A differentially interpolated direct forcing immersed boundary method for predicting incompressible Navier-Stokes equations in time-varying complex geometries

Journal of Computational Physics

A fast, robust, and non-stiff Immersed Boundary Method

Journal of Computational Physics

Efficient and accurate simulations of deformable particles immersed in a fluid using a combined immersed boundary lattice Boltzmann finite element method

Computers & Mathematics with Applications

An immersed boundary method based on the lattice Boltzmann approach in three dimensions, with application

Computers & Mathematics with Applications

Augmented strategies for interface and irregular domain problems

NAA'04 Proceedings of the Third international conference on Numerical Analysis and its Applications

Partially implicit motion of a sharp interface in Navier-Stokes flow

Journal of Computational Physics

An unstructured solver for simulations of deformable particles in flows at arbitrary Reynolds numbers

Journal of Computational Physics

An immersed boundary method for two-fluid mixtures

Journal of Computational Physics

A Cartesian-based embedded geometry technique with adaptive high-order finite differences for compressible flow around complex geometries

Journal of Computational Physics