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PIK Biennial Report 2000-2001 - Potsdam Institute for Climate ...

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Fig. 5: Spatial error distribution of the comparison of the LM<br />

<strong>for</strong>ecast version versus a three-month analysis period.<br />

Numerics <strong>for</strong> Regional <strong>Climate</strong> Models<br />

Regional climate models are often derived from numerical<br />

weather <strong>for</strong>ecast models by extending and adjusting<br />

the parameterizations of unresolved processes to<br />

account <strong>for</strong> climatic scales. Although appealing, this<br />

approach has several shortcomings associated with the<br />

numerical and statistical methods used, and this is the<br />

focus of the second ReCSim activity. An example of our<br />

ef<strong>for</strong>ts concerns the elimination of the computationally<br />

expensive lateral and vertical sponge layers usually<br />

employed in LAM-GCM coupling. Figure 6 shows preliminary<br />

computations done with "spongeless" radiative<br />

boundary conditions. Our numerical flow solver requires<br />

a reference direction <strong>for</strong> evaluating numerical fluxes <strong>for</strong><br />

mass, momentum, and energy. A directionally adaptive<br />

Fig. 6: Non-reflecting boundary conditions <strong>for</strong> non-hydrostatic<br />

compressible models based on rotated boundary Riemann problems.<br />

flux computation is used near the boundaries aligning<br />

the reference direction with the gradient of vertical<br />

velocity. The result (lower right) is compared with the<br />

standard approach (lower left), and with the adaptive<br />

boundary condition on an enlarged domain (top pictures).<br />

This project has been funded in part by the Deutsche Forschungsgemeinschaft,<br />

grant KL 611/6.<br />

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