Navier-Stokes Calculations of Transonic Flows Past Cavities

Generalized Navier - Stokes Flows

We introduce a notion of generalized Navier-Stokes flows on mani-folds, that extends to the viscous case the one defined by Brenier. Their kinetic energy extends the kinetic energy for classical Brownian flows, defined as the L 2 norm of their drift. We prove that there exists a generalized flow which realizes the infimum of kinetic energies among all generalized flows with prescribed initial a...

Hybrid 3 - D Euler / Navier - Stoke : # Calculations of Transonic Vortex Flows over the NTF Delta

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Optimal Control of Navier-Stokes Fluid Flows

Stochastic Navier-Stokes Equations for Turbulent Flows

This paper concerns the fluid dynamics modelled by the stochastic flow    η̇ (t, x) = u (t,η (t, x)) + σ (t,η (t, x)) ◦ Ẇ η(0, x) = x where the turbulent term is driven by the white noise Ẇ . The motivation for this setting is to understand the motion of fluid parcels in turbulent and randomly forced fluid flows. Stochastic Euler equations for the undetermined components u(t, x) and σ(t, x) o...

Artificial boundary conditions for stationary Navier-Stokes flows past bodies in the half-plane

We discuss artificial boundary conditions for stationary Navier-Stokes flows past bodies in the half-plane, for a range of low Reynolds numbers. When truncating the half-plane to a finite domain for numerical purposes, artificial boundaries appear. We present an explicit Dirichlet condition for the velocity at these boundaries in terms of an asymptotic expansion for the solution to the problem....