The immersed interface method for the Navier-Stokes equations with singular forces

A Cartesian grid method for solving the two-dimensional streamfunction-vorticity equations in irregular regions

Journal of Computational Physics

Stability characteristics of the virtual boundary method in three-dimensional applications

Journal of Computational Physics

A fast solver for the Stokes equations with distributed forces in complex geometries

Journal of Computational Physics

Numerical treatment of two-dimensional interfaces for acoustic and elastic waves

Journal of Computational Physics

A decomposed immersed interface method for variable coefficient elliptic equations with non-smooth and discontinuous solutions

Journal of Computational Physics

Flow simulations in rotary volumetric pumps and compressors with the fictitious domain method

Journal of Computational and Applied Mathematics - Special issue: Selected papers from the 2nd international conference on advanced computational methods in engineering (ACOMEN2002) Liege University, Belgium, 27-31 May 2002

Stability of approximate projection methods on cell-centered grids

Journal of Computational Physics

A high-order immersed interface method for simulating unsteady incompressible flows on irregular domains

Journal of Computational Physics

Coupling water and smoke to thin deformable and rigid shells

ACM SIGGRAPH 2005 Papers

A hybrid Cartesian/immersed boundary method for simulating flows with 3D, geometrically complex, moving bodies

Journal of Computational Physics

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

Journal of Computational Physics

Sharp interface Cartesian grid method II: A technique for simulating droplet interactions with surfaces of arbitrary shape

Journal of Computational Physics

Sharp interface Cartesian grid method III: Solidification of pure materials and binary solutions

Journal of Computational Physics

A second-order method for three-dimensional particle simulation

Journal of Computational Physics

A level-set method for interfacial flows with surfactant

Journal of Computational Physics

A second-order boundary-fitted projection method for free-surface flow computations

Journal of Computational Physics

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

Journal of Computational Physics

Simultaneous coupling of fluids and deformable bodies

Proceedings of the 2006 ACM SIGGRAPH/Eurographics symposium on Computer animation

An immersed interface method for viscous incompressible flows involving rigid and flexible boundaries

Journal of Computational Physics

Fourth order accurate evaluation of integrals in potential theory on exterior 3D regions

Journal of Computational Physics

A moving mesh interface tracking method for 3D incompressible two-phase flows

Journal of Computational Physics

Unconditionally stable discretizations of the immersed boundary equations

Journal of Computational Physics

On Boundary Condition Capturing for Multiphase Interfaces

Journal of Scientific Computing

A new high-order immersed interface method for solving elliptic equations with imbedded interface of discontinuity

Journal of Computational Physics

A coupling interface method for elliptic interface problems

Journal of Computational Physics

A kernel-free boundary integral method for elliptic boundary value problems

Journal of Computational Physics

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

Journal of Computational Physics

A local directional ghost cell approach for incompressible viscous flow problems with irregular boundaries

Journal of Computational Physics

A grid-alignment finite element technique for incompressible multicomponent flows

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

HyPAM: A hybrid continuum-particle model for incompressible free-surface flows

Journal of Computational Physics

Smoothed profile method for particulate flows: Error analysis and simulations

Journal of Computational Physics

A well-conditioned augmented system for solving Navier-Stokes equations in irregular domains

Journal of Computational Physics

A velocity decomposition approach for moving interfaces in viscous fluids

Journal of Computational Physics

Lattice Boltzmann boundary conditions via singular forces: Irregular expansion analysis and numerical investigations

Computers & Mathematics with Applications

An accurate and efficient method for the incompressible Navier-Stokes equations using the projection method as a preconditioner

Journal of Computational Physics

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

Journal of Computational Physics

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

Journal of Computational Physics

Handling solid-fluid interfaces for viscous flows: Explicit jump approximation vs. ghost cell approaches

Journal of Computational Physics

A second order virtual node method for elliptic problems with interfaces and irregular domains

Journal of Computational Physics

A full Eulerian finite difference approach for solving fluid-structure coupling problems

Journal of Computational Physics

Sources of spurious force oscillations from an immersed boundary method for moving-body problems

Journal of Computational Physics

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

Computers & Mathematics with Applications

A boundary condition capturing immersed interface method for 3D rigid objects in a flow

Journal of Computational Physics

A matched interface and boundary method for solving multi-flow Navier-Stokes equations with applications to geodynamics

Journal of Computational Physics

A second order virtual node method for elliptic problems with interfaces and irregular domains in three dimensions

Journal of Computational Physics

An interface capturing method with a continuous function: The THINC method with multi-dimensional reconstruction

Journal of Computational Physics

Semi-implicit formulation of the immersed finite element method

Computational Mechanics

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

Journal of Computational Physics

An implicit ghost-cell immersed boundary method for simulations of moving body problems with control of spurious force oscillations

Journal of Computational Physics

Development of an immersed boundary-phase field-lattice Boltzmann method for Neumann boundary condition to study contact line dynamics

Journal of Computational Physics

Adaptive mesh refinement techniques for the immersed interface method applied to flow problems

Computers and Structures

A second order virtual node algorithm for Stokes flow problems with interfacial forces, discontinuous material properties and irregular domains

Journal of Computational Physics

A unified mathematical framework and an adaptive numerical method for fluid-structure interaction with rigid, deforming, and elastic bodies

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