A second-order accurate pressure correction scheme for viscous incompressible flow

A mixed-basis spectral projection method

Journal of Computational Physics

Comparison of implicit multigrid schemes for three-dimensional incompressible flows

Journal of Computational Physics

A Spectral Element Projection Scheme for Incompressible Flow with Application to the Unsteady Axisymmetric Stokes Problem

Journal of Scientific Computing

Analysis of an exact fractional step method

Journal of Computational Physics

Projection method III: spatial discretization on the staggered grid

Mathematics of Computation

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

Journal of Computational Physics

Near-wall LES closure based on one-dimensional turbulence modeling

Journal of Computational Physics

A new class of truly consistent splitting schemes for incompressible flows

Journal of Computational Physics

Error estimates for an operator-splitting method for incompressible flows

Applied Numerical Mathematics

High-order finite volume methods for viscoelastic flow problems

Journal of Computational Physics

Accurate, stable and efficient Navier-Stokes solvers based on explicit treatment of the pressure term

Journal of Computational Physics

A class of fully second order accurate projection methods for solving the incompressible Navier-Stokes equations

Journal of Computational Physics

Preconditioned spectral multi-domain discretization of the incompressible Navier-Stokes equations

Journal of Computational Physics

Stability of approximate projection methods on cell-centered grids

Journal of Computational Physics

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

Journal of Computational Physics

Finite Volume Discretization and Multilevel Methods in Flow Problems

Journal of Scientific Computing

Hardware-oriented numerics and concepts for PDE software

Future Generation Computer Systems

Kinetic energy conservation issues associated with the collocated mesh scheme for incompressible flow

Journal of Computational Physics

Multigrid Methods for the Stokes System

Computing in Science and Engineering

A finite element penalty-projection method for incompressible flows

Journal of Computational Physics

A second order accurate projection method for the incompressible Navier-Stokes equations on non-graded adaptive grids

Journal of Computational Physics

Runge-Kutta-Chebyshev projection method

Journal of Computational Physics

Explicit small-scale velocity simulation for high-Re turbulent flows

Journal of Computational Physics

Explicit small-scale velocity simulation for high-Re turbulent flows. Part II: Non-homogeneous flows

Journal of Computational Physics

Coordinate free programming of computational fluid dynamics problems

Scientific Programming

On deflation and singular symmetric positive semi-definite matrices

Journal of Computational and Applied Mathematics

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

Journal of Computational Physics

A fourth-order auxiliary variable projection method for zero-Mach number gas dynamics

Journal of Computational Physics

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

Journal of Computational Physics

Parallel finite element computations of three-dimensional flow problems using padfem2

International Journal of Parallel, Emergent and Distributed Systems

A stabilized stochastic finite element second-order projection method for modeling natural convection in random porous media

Journal of Computational Physics

Acceleration of Preconditioned Krylov Solvers for Bubbly Flow Problems

ICCS '07 Proceedings of the 7th international conference on Computational Science, Part I: ICCS 2007

Multigrid relaxation methods for systems of saddle point type

Applied Numerical Mathematics

Fast and robust solvers for pressure-correction in bubbly flow problems

Journal of Computational Physics

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

Journal of Computational Physics

On the penalty-projection method for the Navier-Stokes equations with the MAC mesh

Journal of Computational and Applied Mathematics

A Penalty-Projection Method Using Staggered Grids for Incompressible Flows

Large-Scale Scientific Computing

Numerical simulation of drop impact on a liquid-liquid interface with a multiple marker front-capturing method

Journal of Computational Physics

A massively parallel fractional step solver for incompressible flows

Journal of Computational Physics

Hardware-oriented numerics and concepts for PDE software

Future Generation Computer Systems

Stable and accurate pressure approximation for unsteady incompressible viscous flow

Journal of Computational Physics

Acceleration of preconditioned Krylov solvers for bubbly flow problems

PPAM'07 Proceedings of the 7th international conference on Parallel processing and applied mathematics

A direct-forcing embedded-boundary method with adaptive mesh refinement for fluid-structure interaction problems

Journal of Computational Physics

An unconditionally stable rotational velocity-correction scheme for incompressible flows

Journal of Computational Physics

The Barotropic Mode for the Primitive Equations

Journal of Scientific Computing

Immersed-boundary methods for general finite-difference and finite-volume Navier-Stokes solvers

Journal of Computational Physics

An efficient numerical method for the equations of steady and unsteady flows of homogeneous incompressible Newtonian fluid

Journal of Computational Physics

A pressure-correction scheme for convection-dominated incompressible flows with discontinuous velocity and continuous pressure

Journal of Computational Physics

Pressure boundary conditions for computing incompressible flows with SPH

Journal of Computational Physics

IDeC(k): A new velocity reconstruction algorithm on arbitrarily polygonal staggered meshes

Journal of Computational Physics

An efficient method for the incompressible Navier-Stokes equations on irregular domains with no-slip boundary conditions, high order up to the boundary

Journal of Computational Physics

Two implementations of the preconditioned conjugate gradient method on heterogeneous computing grids

International Journal of Applied Mathematics and Computer Science - Computational Intelligence in Modern Control Systems

Fast iterative solution of large sparse linear systems on geographically separated clusters

International Journal of High Performance Computing Applications

Accuracy analysis of explicit Runge-Kutta methods applied to the incompressible Navier-Stokes equations

Journal of Computational Physics

A collocated method for the incompressible Navier-Stokes equations inspired by the Box scheme

Journal of Computational Physics

Energy-conserving Runge-Kutta methods for the incompressible Navier-Stokes equations

Journal of Computational Physics

Symmetry-preserving discretization of Navier-Stokes equations on collocated unstructured grids

Journal of Computational Physics

A numerical investigation of velocity-pressure reduced order models for incompressible flows

Journal of Computational Physics