A second-order accurate pressure correction scheme for viscous incompressible flow
SIAM Journal on Scientific and Statistical Computing
Boundary conditions for incompressible flows
Journal of Scientific Computing
SIAM Journal on Scientific Computing
Projection method I: convergence and numerical boundary layers
SIAM Journal on Numerical Analysis
On error estimates of the projection methods for the Navier-Stokes equations: second-order schemes
Mathematics of Computation
The Accuracy of the Fractional Step Method
SIAM Journal on Numerical Analysis
Accurate projection methods for the incompressible Navier—Stokes equations
Journal of Computational Physics
Role of the LBB condition in weak spectral projection methods: 405
Journal of Computational Physics
Velocity-Correction Projection Methods for Incompressible Flows
SIAM Journal on Numerical Analysis
Journal of Computational Physics
Journal of Computational Physics
Journal of Computational and Applied Mathematics
Journal of Computational Physics
An efficient direct parallel spectral-element solver for separable elliptic problems
Journal of Computational Physics
Error estimate of a first-order time discretization scheme for the geodynamo equations
Journal of Computational and Applied Mathematics
An implicit technique for solving 3D low Reynolds number moving free surface flows
Journal of Computational Physics
Parallel finite element computations of three-dimensional flow problems using padfem2
International Journal of Parallel, Emergent and Distributed Systems
International Journal of Computer Mathematics - Celebrating the Life of David J. Evans
Open and traction boundary conditions for the incompressible Navier-Stokes equations
Journal of Computational Physics
An unconditionally stable rotational velocity-correction scheme for incompressible flows
Journal of Computational Physics
Journal of Computational Physics
Stable and Spectrally Accurate Schemes for the Navier-Stokes Equations
SIAM Journal on Scientific Computing
A gradient stable scheme for a phase field model for the moving contact line problem
Journal of Computational Physics
The development of fully coupled simulation software by reusing segregated solvers
PARA'10 Proceedings of the 10th international conference on Applied Parallel and Scientific Computing - Volume Part I
A collocated method for the incompressible Navier-Stokes equations inspired by the Box scheme
Journal of Computational Physics
Journal of Scientific Computing
Hi-index | 31.50 |
A new class of splitting schemes for incompressible flows is introduced. The new schemes are based on a weak form of the pressure Poisson equation and, at each time step, only require to solve a set of Helmholtz-type equations for the velocity and a Poisson equation (in the weak form) for the pressure, just as pressure-correction and velocity-correction schemes. However, unlike pressure-correction and velocity-correction schemes, the new splitting schemes are free of splitting errors and deliver full accuracy on the vorticity and the pressure.