## On the construction of a direct numerical simulation of a breaking inertia-gravity wave in the upper-mesosphere

M.D. Fruman, S. Remmler, U. Achatz, S. Hickel (2014) *Journal of Geophysical Research *119: 11613-11640. doi: 10.1002/2014JD022046

A systematic approach to the direct numerical simulation (DNS) of breaking upper mesospheric inertia-gravity waves of amplitude close to or above the threshold for static instability is presented. Normal mode or singular vector analysis applied in a frame of reference moving with the phase velocity of the wave (in which the wave is a steady solution) is used to determine the most likely scale and structure of the primary instability

## Large-eddy simulation of passive shock-wave/boundary-layer interaction control

V. Pasquariello, M. Grilli, S. Hickel, N.A. Adams (2014) *International Journal of Heat and Fluid Flow *49: 116-127. doi: 10.1016/j.ijheatfluidflow.2014.04.005

We investigate a passive flow-control technique for the interaction of an oblique shock generated by an 8.8° wedge with a turbulent boundary-layer at a free-stream Mach number of Ma_{∞ }= 2.3 and a Reynolds number based on the incoming boundary-layer thickness of Re_{δ} = 60 500 by means of large-eddy simulation (LES).

## On the application of WKB theory for the simulation of the weakly nonlinear dynamics of gravity waves

J. Muraschko, M.D. Fruman, U. Achatz, S. Hickel, Y. Toledo (2015) *Quarterly Journal of the Royal Meteorological Society* 141: 676-697. doi: 10.1002/qj.2381

The dynamics of internal gravity waves is modelled using Wentzel–Kramer–Brillouin (WKB) theory in position–wave number phase space. A transport equation for the phase-space wave-action density is derived for describing one-dimensional wave fields in a background with height-dependent stratification and height- and time-dependent horizontal-mean horizontal wind, where the mean wind is coupled to the waves through the divergence of the mean vertical flux of horizontal momentum associated with the waves.

## Direct numerical simulation of a breaking inertia-gravity wave

S. Remmler, M.D. Fruman, S. Hickel (2013) *Journal of Fluid Mechanics *722: 424-436. doi: 10.1017/jfm.2013.108

We have performed fully resolved three-dimensional numerical simulations of a statically unstable monochromatic inertia–gravity wave using the Boussinesq equations on an* f *- plane with constant stratification. The chosen parameters represent a gravity wave with almost vertical direction of propagation and a wavelength of 3 km breaking in the middle atmosphere.