Two-time correlations and temporal spectra I previously discussed this topic in my posts of 25 February 2021 and 10 March 2022. In the succeeding months I have become increasingly aware that there is dissension in the literature, with people citing the temporal spectrum as , if the arguments of Kolmogorov apply; and , if convectiveContinue reading Two-time correlations and temporal spectra

Mode elimination: taking the phases into account: 5 When I began this series of posts on the effects of phase, I had quite forgotten that I had once looked into the effects of phase in quite a specific way. This only came back to me when I was using my own book [1] to remindContinue reading Mode elimination: taking the phases into account: 5

Mode elimination: taking the phases into account: 4 In the previous post we came to the unsurprising conclusion that as a matter of rigorous mathematics, we cannot average out the high-wavenumber modes while leaving the low-wavenumber modes unaffected. However, turbulence is a matter of physics rather than pure mathematics and the initial conditions are notContinue reading Mode elimination: taking the phases into account: 4