Artificial Selective Damping
The short waves are numerical contaminants of a computed solution. To improve the quality of a numerical solution, it is imperative that the short waves be automatically removed from the computation as soon as they are generated. A way to remove short waves is to add artificial selective damping terms to the finite difference equations.
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For this method to be acceptable, the damping terms must selectively damp out the short waves and have minimal effect on the long waves.