Stationary Navier-Stokes equations with non-vanishing outflow condition

The Stationary Navier-Stokes Equations

Having considered the linear Stokes equations, we will now bring back the nonlinear term and consider the nonlinear version of the Stokes system. The solution of these equations can be viewed as the limit to which the solution of the full N-S equations tends as t tends to infinity. Of course no one knows at this point if the solutions of the N-S equations do tend to some limit as t tends to inf...

Optimization with the time-dependent Navier-Stokes equations as constraints

In this paper, optimal distributed control of the time-dependent Navier-Stokes equations is considered. The control problem involves the minimization of a measure of the distance between the velocity field and a given target velocity field. A mixed numerical method involving a quasi-Newton algorithm, a novel calculation of the gradients and an inhomogeneous Navier-Stokes solver, to find the opt...

On a number of algorithms for solving non-stationary Stokes and Navier-Stokes equations

On a number of algorithms for solving non-stationary Stokes and Navier-Stokes equations

The stationary three-dimensional Navier-Stokes Equations with a non-zero constant velocity at infinity