Eulerian time-stepping schemes for the non-stationary Stokes equations on time-dependent domains

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...

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...

High-Order Time Stepping for the Incompressible Navier-Stokes Equations

This paper introduces a high-order time stepping technique for solving the incompressible Navier–Stokes equations which, unlike coupled techniques, does not require solving a saddle point problem at each time step and, unlike projection methods, does not produce splitting errors and spurious boundary layers. The technique is a generalization of the artificial compressibility method; it is uncon...

Towards optimal explicit time-stepping schemes for the gyrokinetic equations

The nonlinear gyrokinetic equations describe plasma turbulence in laboratory and astrophysical plasmas. To solve these equations, massively parallel codes are developed and run on present-day supercomputers. The goal of this paper is to improve the efficiency of such computations, thereby allowing for physically more comprehensive studies. Explicit Runge-Kutta schemes are considered to be well ...

An Adaptive Finite Element Method for the Incompressible Navier{stokes Equations on Time-dependent Domains