On pressure boundary conditions for the incompressible Navier-Stokes equations

Pressure boundary conditions satisfying the normal momentum equation at solid boundaries with second-order accuracy are developed. Implementation of these conditions in an explicit numerical procedure for the two-dimensional incompressible…

We present numerical schemes for the incompressible Navier-Stokes equations (NSE) with open and traction boundary conditions. We use pressure Poisson equation (PPE) formula- tion and propose new boundary conditions for the pressure on the open or…

An account of second-order fractional-step methods and boundary conditions for the incompressible NavierStokes equations is presented. The goals of thework were (i) identification and analysis of all possible splitting methods of second-order split-…

Efficient natural condition s on open boundaries for incompressible flows are derived from a weak formulation of Navier-Stokes equations. Energy estimates in velocity-pressure are established from a mixed formulation and a rigourous proof of…

In Gresho and Sani (Int. J. Numer. Methods Fluids 1987; 7:1111-1145; Incompressible Flow and the Finite Element Method, vol. 2. Wiley: New York, 2000) was proposed an important hypothesis regarding the pressure Poisson equation (PPE) for…

The stability of a finite difference discretization of the time-dependent incompressible Navier-Stokes equations in velocity-pressure formulation is studied. In paticular, we compare the stability for different pressure boundary conditions in a…

We revisit the issue of finding proper boundary conditions for thefield equations describing incompressible flow problems, for quantities like pressureor vorticity, which often do not have immediately obvious "physical"boundary conditions. Most of…

We present in this note the existence and uniqueness results for the Stokes and Navier-Stokes equations which model the laminar flow of an incompressible fluid inside a two-dimensional channel of periodic sections. The data of the pressure loss…

Common efficient schemes for the incompressible Navier-Stokes equations, such as projection or fractional step methods, have limited temporal accuracy as a result of matrix splitting errors, or introduce errors near the domain boundaries (which…

The numerical scheme used by the present time-accurate FEM numerical method for incompressible Navier-Stokes equations, using primitive variables as the unknowns, is a Crank-Nicholson implicit treatment of all equation terms with central…