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Question: Which numerical resolution/ number of p.p.w. does wavenumber k correspond to if k∗h=π4, where h is the grid spacing?
The relation k*h = π/4 corresponds to a numerical resolution of 8 points per wavelength (p.p.w). This is because the wavenumber k = 2π/λ, where λ is the wavelength. If k*h = π/4, it means that (2π/λ)*h = π/4. Solving for λ/h (which gives us the number of grid points per wavelength), we get λ/h = 8. This therefore corresponds to a numerical resolution of 8 points per wavelength (p.p.w).
k = π4/h
Feb. 22, 2023, 7:17 a.m.
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