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 />
Implementation Issues<br />
Positive Aspects<br />
The sign of the group velocity is preserved (although the<br />
sound waves are slowed down to essentially zero group<br />
velocity).<br />
Not so Positive Aspects<br />
The fully <strong>implicit</strong> method is too expensive. Simplifications<br />
need to be applied such as<br />
<strong>semi</strong>-<strong>implicit</strong> predictor-corrector method (i.e., a linearly<br />
<strong>implicit</strong> method),<br />
extrapolated trajectory calculation in the<br />
<strong>semi</strong>-<strong>Lagrangian</strong> part.