On the Solved Turbulent Scales in Turbulent Plume Fires

Plume fires are characterized by a turbulent nature with a large number of different scales. LES is often used to solve the largest structures and to model the smallest ones. Grid size and time steps become decisive to place the limit between resolved and modelled turbulence. Significant information on this limit and its placement can be obtained with spectral analyses of the specific turbulent kinetic energy. While frequency analysis is relatively easy, an analysis in the wavenumber domain is more challenging. The IWC method, typically used in structures and acoustics, is used here for this purpose. IWC method allows to obtain wavenumber spectra with a better resolution than those obtained with a direct approach. Furthermore, in this paper the IWC method is also used in its reverse form to obtain frequency spectra. Although rather dense grids have been chosen, the number of nodes along the plume and their spacing is not such as to guarantee detailed wavenumber spectra with the direct approach and consequently with the reverse IWC. On the contrary, the IWC method provides wavenumber spectra in agreement with those obtained directly, but of much higher quality.