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Calculating Gaussian Wave packet Wave speed and Wave length

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john carr
john carr 2021-8-13
编辑： john carr 2021-8-13
Hey All,
I am trying to simulate fluid flow in a channel where the inlet volumetric flux is prescribed as a gaussian functin with a specfic frequency (f) and wavelength (λ) but am confused on how to do this exactly. I am using the equation for a gaussian wrapped onto a unit circle (below), but I dont know how to calcualte λ or f from the equation. any help is greatly appreciated!
Q_Inlet = @(theta) amp*exp(-(theta-mu).^2/(2*sd^2)) + q0; % [cm^3/s] Gaussian In-Flux BC condition
where
mu => mean
sd => standard deviation
q0 => vertical offset
amp => max amplitude
theta => the period of the wave (-pi to pi)

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