We thank the Leibniz-Gemeinschaft (WGL) for support within their PAKT program. S.H. and U.A. thank Deutsche Forschungsgemeinschaft for partial support through the MetStröm Priority Research Program (SPP 1276) and through Grants HI 1273/1-1 Ac71/4-1.
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Please note that in the present paper the Froude number is defined as follows:
In the following we only use the term “density” but always refer to the pseudo-incompressible (effective) density.
It is also shown that this problem can be circumvented by transporting only the perturbation of the potential temperature instead of the full quantity.
Note that each iteration within BiCGSTAB has two calls of the linear operator.
Since the flow remains laminar in the analyzed test case in that paper no turbulence model was needed and—without loss of generality—a MUSCL scheme was used.
Note that the bar symbolizes cell-averaged or filtered value in the appendices and not atmospheric background value as in the main text.