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Fourth Study Conference on BALTEX Scala Cinema Gudhjem

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- 103 -<br />

Modelling the Impact of Inertia-Gravity Waves <strong>on</strong> Wind and Precipitati<strong>on</strong><br />

Christoph Zülicke and Dieter Peters<br />

Institute of Atmospheric Physics, Schlossstraße 6, 18225 Kühlungsborn, Germany < zuelicke@iap-kborn.de ><br />

1. Introducti<strong>on</strong><br />

Inertia-gravity waves (IGW for short) are features of the<br />

atmospheric dynamics, which may influence the regi<strong>on</strong>al<br />

momentum and energy balance significantly (Holt<strong>on</strong>, 1992).<br />

They may be generated for example by unbalanced jet<br />

currents, fr<strong>on</strong>tal systems, c<strong>on</strong>vecti<strong>on</strong> or orography. During<br />

their evoluti<strong>on</strong> IGW-s transport momentum upwards into the<br />

upper atmosphere. Local weather events are also<br />

occasi<strong>on</strong>ally modified by such IGW-s - they are accounted<br />

for extreme weather events such as wind gusts or deep<br />

c<strong>on</strong>vecti<strong>on</strong> (Bosart et al., 1998).<br />

In a case study study we investigated such an event, which<br />

took place over the North-European / Baltic regi<strong>on</strong>. The<br />

general weather situati<strong>on</strong> was characterised by a poleward<br />

breaking Rossby wave c<strong>on</strong>nected with an intense polar jet in<br />

the tropopause (Peters et al., 2002). We model the<br />

generati<strong>on</strong> of IGW-s, trace their propagati<strong>on</strong> down to the<br />

surface and finally discuss their impact <strong>on</strong> the wind and<br />

precipitati<strong>on</strong> fields in the Gotland Basin.<br />

2. Model setup<br />

The Fifth-generati<strong>on</strong> mesoscale model (in short: MM5) has<br />

been developed by the Nati<strong>on</strong>al Center for Atmospheric<br />

Research (Boulder, CO) and the Pennsylvania State<br />

University (NCAR, 2003). It has a n<strong>on</strong>hydrostatic dynamics<br />

and is implemented <strong>on</strong> a staggered grid. We have defined<br />

three nested domains covering about an area of 7000 km *<br />

5000 km. The domains have a horiz<strong>on</strong>tal resoluti<strong>on</strong> of ∆x =<br />

72, 24 and 8 km and a vertical of ∆z = 0.75, 0.25 and 0.1<br />

km. We used for the full-physics run the MRF PBL module,<br />

Grell-parameterisati<strong>on</strong> of cumulus c<strong>on</strong>vecti<strong>on</strong> and a Dudhia<br />

ice scheme for the microphysics. In order to cover the<br />

LEWIZ-campaign (17.-19.12.1999) the model run was<br />

started at 16.12.1999-00:00. For the c<strong>on</strong>structi<strong>on</strong> of initial<br />

and boundary c<strong>on</strong>diti<strong>on</strong>s ECMWF analyses were used.<br />

Figure 1: MM5 model domains<br />

3. IGW parameters<br />

A snapshot from the model simulati<strong>on</strong> is discussed below.<br />

Figure 2 shows the jet current at about 300 hPa, approaching<br />

the Baltic Sea from West. During the process of geostrophic<br />

adjustment of the unbalanced jet, IGW-s are generated at its<br />

tip. These waves are essentially ageostrophic – we make<br />

them visible with the horiz<strong>on</strong>tal divergence<br />

δ = ∂u/∂x + ∂v/∂y<br />

Figure 2: Map at tropopause level (300 hPa, ca. 8 km<br />

height) for t = 48 h (1 8.12.1999-00:00): shown wind<br />

speed U (values larger than 30 m / s are green) and<br />

horiz<strong>on</strong>tal divergence δ (value larger / smaller than 2 10 -5<br />

1 / s are red/blue). Three IGW-s aere indicated with thick<br />

green lines at the positi<strong>on</strong>s where the divergence crosses<br />

the Zero line from negative (blue) to positive (red) values.<br />

The positi<strong>on</strong> of Gotland is marked with a red dot.<br />

A part of the precipitable water near the surface is<br />

modulated by these IGW-s, in particular some areas with<br />

c<strong>on</strong>vective precipitati<strong>on</strong> (see figure 3)<br />

Figure 3: Surface map at 900 hPa (ca. 1 km height) at t =<br />

48 h. In additi<strong>on</strong> to the quantities above, the total<br />

precipitati<strong>on</strong> mixing ratio (values larger 0.1 g / kg are<br />

orange) is shown.<br />

In the simulati<strong>on</strong> we detected IGW-s with a mean<br />

horiz<strong>on</strong>tal wavelength of Λ = 240 km, a vertical<br />

wavelength of λz = 2.9 km and an intrinsic period of τ i =<br />

6.9 h (Zülicke & Peters, 2004). The source of the three<br />

indicated IGW-s is the polar jet at about 8 km height – the<br />

wave train appear in both figures but shifted by ca. 100<br />

km.

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