Analysis of an exact fractional step method
Journal of Computational Physics
A moving unstructured staggered mesh method for the simulation of incompressible free-surface flows
Journal of Computational Physics
A parallel block multi-level preconditioner for the 3D incompressible Navier--Stokes equations
Journal of Computational Physics
A new class of truly consistent splitting schemes for incompressible flows
Journal of Computational Physics
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
Journal of Computational Physics
Journal of Computational Physics
The immersed boundary method: A projection approach
Journal of Computational Physics
Stable and accurate pressure approximation for unsteady incompressible viscous flow
Journal of Computational Physics
Three-dimensional, fully adaptive simulations of phase-field fluid models
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
ACM Transactions on Reconfigurable Technology and Systems (TRETS)
A collocated method for the incompressible Navier-Stokes equations inspired by the Box scheme
Journal of Computational Physics
A coarse-grid projection method for accelerating incompressible flow computations
Journal of Computational Physics
Journal of Computational Physics
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We analyze the accuracy of the fractional step method of Kim and Moin [J. Comput. Phys., 59 (1985), pp. 308--323] for the incompressible Navier--Stokes equations. We show that the boundary conditions cannot be exactly satisfied in the projection step and that this limits the accuracy of the method. We also show that the pressure in any projection method can be at best first-order accurate. Our analysis is simpler and more direct than the previous analyses of this method. We also show that there is no numerical boundary layer for velocity or pressure, but there is one for the auxiliary pressure variable.