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What causes aliasing in Spectral methods?

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in Computational Fluid Dynamics by (118k points)
What causes aliasing in Spectral methods?

(a) Small grid sizes

(b) Fourier series

(c) Arbitrary values for Fourier series

(d) Periodic nature

The question was posed to me during an interview.

My question comes from Finite Difference Methods in portion Finite Difference Methods of Computational Fluid Dynamics

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Right option is (c) Arbitrary values for Fourier series

Easiest explanation: For Fourier expansion, there is a nearly arbitrary value to be assumed. The results depend on this arbitrary value. If this value is not chosen properly, it will lead to aliasing error. This means pointing the same element more than one time.

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