An analysis of the fractional step method

Terascale spectral element algorithms and implementations

SC '99 Proceedings of the 1999 ACM/IEEE conference on Supercomputing

Algebraic splitting for incompressible Navier-Stokes equations

Journal of Computational Physics

Spectral Element Methods for Transitional Flows in Complex Geometries

Journal of Scientific Computing

Steady Gap Flows by the Spectral and Mortar Element Method

Journal of Scientific Computing

Analysis of an exact fractional step method

Journal of Computational Physics

Simulation of a flapping flexible filament in a flowing soap film by the immersed boundary method

Journal of Computational Physics

A moving unstructured staggered mesh method for the simulation of incompressible free-surface flows

Journal of Computational Physics

Time-dependent algorithms for the simulation of viscoelastic flows with spectral element methods: applications and stability

Journal of Computational Physics

Fractional step Runge--Kutta methods for time dependent coefficient parabolic problems

Applied Numerical Mathematics

A parallel block multi-level preconditioner for the 3D incompressible Navier--Stokes equations

Journal of Computational Physics

Stabilized spectral element computations of high Reynolds number incompressible flows

Journal of Computational Physics

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

Journal of Computational Physics

High order accurate solution of the incompressible Navier-Stokes equations

Journal of Computational Physics

Stability of approximate projection methods on cell-centered grids

Journal of Computational Physics

A Fourier-spectral element algorithm for thermal convection in rotating axisymmetric containers

Journal of Computational Physics

A windowing method for periodic inflow/outflow boundary treatment of non-periodic flows

Journal of Computational Physics

Local spectral time splitting method for first- and second-order partial differential equations

Journal of Computational Physics

Preconditioning Strategies for Models of Incompressible Flow

Journal of Scientific Computing

Fluid-Structure Interaction by the Spectral Element Method

Journal of Scientific Computing

High Order Accurate Solution of Flow Past a Circular Cylinder

Journal of Scientific Computing

Algebraic Fractional-Step Schemes for Time-Dependent Incompressible Navier---Stokes Equations

Journal of Scientific Computing

Algebraic fractional-step schemes with spectral methods for the incompressible Navier-Stokes equations

Journal of Computational Physics

Stability results for linearly implicit fractional step discretizations of non-linear time dependent parabolic problems

Applied Numerical Mathematics

Finite-difference method for incompressible Navier-Stokes equations in arbitrary orthogonal curvilinear coordinates

Journal of Computational Physics

A high-order discontinuous Galerkin method for the unsteady incompressible Navier-Stokes equations

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

A coupled approximate deconvolution and dynamic mixed scale model for large-eddy simulation

Journal of Computational Physics

The immersed boundary method: A projection approach

Journal of Computational Physics

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

Journal of Computational Physics

A fractional step method for solving the compressible Navier-Stokes equations

Journal of Computational Physics

A taxonomy and comparison of parallel block multi-level preconditioners for the incompressible Navier-Stokes equations

Journal of Computational Physics

A segregated implicit pressure projection method for incompressible flows

Journal of Computational Physics

Solution of moving-boundary problems by the spectral element method

Applied Numerical Mathematics

A high-resolution code for turbulent boundary layers

Journal of Computational Physics

A massively parallel fractional step solver for incompressible flows

Journal of Computational Physics

A Coupled Legendre-Laguerre Spectral-Element Method for the Navier-Stokes Equations in Unbounded Domains

Journal of Scientific Computing

Stable and accurate pressure approximation for unsteady incompressible viscous flow

Journal of Computational Physics

An unconditionally stable rotational velocity-correction scheme for incompressible flows

Journal of Computational Physics

Towards a scalable fully-implicit fully-coupled resistive MHD formulation with stabilized FE methods

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

Hybrid openMP-MPI turbulent boundary layer code over 32k cores

EuroMPI'11 Proceedings of the 18th European MPI Users' Group conference on Recent advances in the message passing interface

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

Direct numerical simulation of turbulence using GPU accelerated supercomputers

Journal of Computational Physics

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

Journal of Computational Physics

The projection method for the incompressible Navier-Stokes equations: The pressure near a no-slip wall

Journal of Computational Physics