New Zealand Simulation

This page describes a numerical simulation of gravity waves over New Zealand's south island. Primary orographic waves break at an altitude of about 80 km, thereby generating secondary waves. The secondary waves are filtered by viscous effects, but the longer wavelengths propagate to altitudes in excess of 400 km.

Computational Domain

The layout of the of the simulation is shown in the figure below. The origin is located at Mount Cook (43.5950° S, 170.1418° E).

surface


The computation grid uses horizontal mesh spacings of 1000 m in a region slightly larger than the south island land mass. The mesh is then stretched gently to the lateral boundaries. The vertical grid uses uniform spacing of 500 m up to an altitude of 140 km. Beyond 140 km the mesh is subdivided into four additional zones where the vertical grid is continuously stretched, but the horizontal spacings jump by a factor of two across each interface. The interfaces are located at 140, 200, 260 km, and the horizontal mesh spacing increases from 500 m in the lowest zone to 1, 2, and 4 km in the progressively higher zones. The vertical mesh spacing increases continuously from an altitude of 140 km to the domain top at 320 km. The vertical spacing at the domain top is 3.3 km. Inviscid wall boundary conditions are used and the surface whereas characteristic (radiative) conditions are used at the lateral and top boundaries.

Wind Profiles

The background winds vary according to ERA5/JAWARA/HWM/MSIS2.0

Animation in xz planes


The following animations provide an overview of the wave motion as imaged in meridional-altitude (xz) planes.

y = -100 km





Results in xy planes


z = 87 km





z = 115 km





z = 230 km