A Fifth‐Order Stokes Theory for Steady Waves

Stability of steady cross waves: Theory and experiment.

A GPU-accelerated Navier-Stokes Solver for Steady Turbomachinery Simulations

Any tiny improvement of modern turbomachinery components require nowadays a large amount of design evaluations. Every evaluation runs time consuming simulations. Reducing the computational cost of the simulations allows to run more evaluations, thus reaching a higher design improvement. In this work, an Nvidia Graphics Processing Unit (GPU) of Kepler generation is used to accelerate the FiniteV...

Steady Water Waves

The classical water wave problem concerns the irrotational flow of a perfect fluid of unit density subject to the forces of gravity and surface tension. The fluid motion is described by the Euler equations in a domain bounded below by a rigid horizontal bottom {y = −h} and above by a free surface which is described as a graph {y = η(x, z, t)}, where the function η depends upon the two horizonta...

Steady Water Waves

We present a survey of certain aspects of the theory of steady water waves with emphasis on the role played by vorticity. Historical background, numerical illustrations, and brief discussions of the time-dependent problem and of approximate models are included as well.

On Bloch Waves for the Stokes Equations

In this work, we study the Bloch wave decomposition for the Stokes equations in a periodic media in Rd. We prove that, because of the incompressibility constraint, the Bloch eigenvalues, as functions of the Bloch frequency ξ, are not continuous at the origin. Nevertheless, when ξ goes to zero in a fixed direction, we exhibit a new limit spectral problem for which the eigenvalues are directional...