An accurate Cartesian grid method for viscous incompressible flows with complex immersed boundaries

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

Journal of Computational Physics

An adaptive finite volume method for incompressible heat flow problems in solidification

Journal of Computational Physics

Numerical simulation of dendritic solidification with convection: two-dimensional geometry

Journal of Computational Physics

Developments in Cartesian cut cell methods

Mathematics and Computers in Simulation - MODELLING 2001 - Second IMACS conference on mathematical modelling and computational methods in mechanics, physics, biomechanics and geodynamics

A representation of curved boundaries for the solution of the Navier-Stokes equations on a staggered three-dimensional Cartesian grid

Journal of Computational Physics

A finite volume code for meridional circulation in stars

Journal of Computational Physics

An Eulerian method for computation of multimaterial impact with ENO shock-capturing and sharp interfaces

Journal of Computational Physics

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

Journal of Computational Physics

Gerris: a tree-based adaptive solver for the incompressible Euler equations in complex geometries

Journal of Computational Physics

A cartesian grid method for modeling multiple moving objects in 2D incompressible viscous flow

Journal of Computational Physics

A general reconstruction algorithm for simulating flows with complex 3D immersed boundaries on Cartesian grids

Journal of Computational Physics

A ghost-cell immersed boundary method for flow in complex geometry

Journal of Computational Physics

Numerical simulation of two-dimensional flows over a circular cylinder using the immersed boundary method

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

A Cartesian grid finite-difference method for 2D incompressible viscous flows in irregular geometries

Journal of Computational Physics

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

An auxiliary grid method for computations of multiphase flows in complex geometries

Journal of Computational Physics

An embedded-boundary formulation for large-eddy simulation of turbulent flows interacting with moving boundaries

Journal of Computational Physics

Finite volume treatment of dispersion-relation-preserving and optimized prefactored compact schemes for wave propagation

Journal of Computational Physics

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

Journal of Computational Physics

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

Journal of Computational Physics

Numerical simulation of the fluid dynamics of 2D rigid body motion with the vortex particle method

Journal of Computational Physics

A generalized finite-difference (GFD) ALE scheme for incompressible flows around moving solid bodies on hybrid meshfree-Cartesian grids

Journal of Computational Physics

An immersed boundary method for complex incompressible flows

Journal of Computational Physics

A sharp interface immersed boundary method for compressible viscous flows

Journal of Computational Physics

A numerical method for solving the 3D unsteady incompressible Navier-Stokes equations in curvilinear domains with complex immersed boundaries

Journal of Computational Physics

Finite-difference immersed boundary method consistent with wall conditions for incompressible turbulent flow simulations

Journal of Computational Physics

A novel immersed boundary velocity correction-lattice Boltzmann method and its application to simulate flow past a circular cylinder

Journal of Computational Physics

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

Journal of Computational Physics

A versatile sharp interface immersed boundary method for incompressible flows with complex boundaries

Journal of Computational Physics

Derivation and validation of a novel implicit second-order accurate immersed boundary method

Journal of Computational Physics

A high-order finite-volume algorithm for Fokker-Planck collisions in magnetized plasmas

Journal of Computational Physics

An immersed-boundary method for flow-structure interaction in biological systems with application to phonation

Journal of Computational Physics

Immersed boundary method for the simulation of 2D viscous flow based on vorticity-velocity formulations

Journal of Computational Physics

Adaptively refined, parallelised sharp interface Cartesian grid method for three-dimensional moving boundary problems

International Journal of Computational Fluid Dynamics

Flux modelling in the finite-volume lattice Boltzmann approach

International Journal of Computational Fluid Dynamics

Deformation of elastic particles in viscous shear flow

Journal of Computational Physics

Implicit velocity correction-based immersed boundary-lattice Boltzmann method and its applications

Journal of Computational Physics

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

Journal of Computational Physics

A numerical method for fully resolved simulation (FRS) of rigid particle-flow interactions in complex flows

Journal of Computational Physics

Fictitious Domain approach with hp-finite element approximation for incompressible fluid flow

Journal of Computational Physics

On a two-level element-free Galerkin method for incompressible fluid flow

Applied Numerical Mathematics

Computation of unsteady flows with moving boundaries using body fitted curvilinear moving grids

Computers and Structures

High-order compact schemes for incompressible flows: A simple and efficient method with quasi-spectral accuracy

Journal of Computational Physics

Utilization of a Cartesian grid based numerical scheme in analysis of rotorcraft flows

AMATH'09 Proceedings of the 15th american conference on Applied mathematics

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

Journal of Computational Physics

Consistent projection methods for variable density incompressible Navier-Stokes equations with continuous surface forces on a rectangular collocated mesh

Journal of Computational Physics

The LS-STAG method: A new immersed boundary/level-set method for the computation of incompressible viscous flows in complex moving geometries with good conservation properties

Journal of Computational Physics

On the accuracy of direct forcing immersed boundary methods with projection methods

Journal of Computational Physics

Spatially adaptive stochastic numerical methods for intrinsic fluctuations in reaction-diffusion systems

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 conservative immersed interface method for Large-Eddy Simulation of incompressible flows

Journal of Computational Physics

Nested Cartesian grid method in incompressible viscous fluid flow

Journal of Computational Physics

Space-time discontinuous Galerkin finite element method for two-fluid flows

Journal of Computational Physics

A simple multigrid scheme for solving the Poisson equation with arbitrary domain boundaries

Journal of Computational Physics

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

Computers & Mathematics with Applications

A sharp-interface immersed boundary method with improved mass conservation and reduced spurious pressure oscillations

Journal of Computational Physics

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

Journal of Computational Physics

Link-wise artificial compressibility method

Journal of Computational Physics

A simple second order cartesian scheme for compressible Euler flows

Journal of Computational Physics

An accurate moving boundary formulation in cut-cell methods

Journal of Computational Physics

A new implicit fictitious domain method for the simulation of flow in complex geometries with heat transfer

Journal of Computational Physics

An Eulerian-Lagrangian moving immersed interface method for simulating burning solids

Journal of Computational Physics

A consistent and conservative scheme for MHD flows with complex boundaries on an unstructured Cartesian adaptive system

Journal of Computational Physics