Semi-implicit semi-Lagrangian methods for numerical weather ...
Semi-implicit semi-Lagrangian methods for numerical weather ...
Semi-implicit semi-Lagrangian methods for numerical weather ...
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<strong>Semi</strong>-Implicit<br />
<strong>Semi</strong>-<br />
<strong>Lagrangian</strong><br />
Time-<br />
Stepping<br />
Methods and<br />
Regularized<br />
Fluid<br />
Equations in<br />
Numerical<br />
Weather<br />
Prediction<br />
Sebastian<br />
Reich<br />
Numerical<br />
Weather<br />
Prediction<br />
Basic Facts<br />
Unified Model<br />
Towards a<br />
New Dynamic<br />
Core<br />
Model System and<br />
Basic Ideas<br />
Results<br />
General<br />
Methodology<br />
Concluding<br />
Remarks<br />
Vertical Slice Model<br />
Non-hydrostatic test case<br />
Numerical test taken from Pinty et al, 1995. Flow over a<br />
mountain with profile<br />
800 m<br />
h(x) =<br />
1 + ((x − 256 km)/16 km) 2<br />
and mean horizontal velocity of 32 m s −1 . The time-step is<br />
∆t = 2 min. The vertical grid-size is ∆z = 250 m while the<br />
horizontal grid-size is ∆x = 4 km. The smoothing length is<br />
α = cs∆t/2 ≈ 19 km.
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