In weather forecasting, semi-Lagrangian models avoid this phenomenon by replacing advection terms with Lagrangian transport.
In weather forecasting, semi-Lagrangian models avoid this phenomenon by replacing advection terms with Lagrangian transport. One way to deal with this phenomenon in general is to set Fourier amplitudes larger than"two thirds" of the maximum range to 0. That technique is truncation, and is similar to the "three halves" rule or padding of wavenumbers. This phenomenon causes an excess of energy to be accumulated in short wavenumbers because the finite difference scheme cannot resolve wavelengths shorter than twice the mesh size according to the Nyquist theorem. Visually, the "temporal" form of this phenomenon leads to the "wagon-wheel effect." A simple example of this phenomenon is using a spacing interval of 1 when trying to reconstruct the sine function. For 10 points, name this phenomenon in which there exists undesired frequencies in a signal due to poor sampling.
In weather forecasting, semi-Lagrangian models avoid this phenomenon by replacing advection terms with Lagrangian transport.
aliasing