Spatially periodic temperature modulation of a compressible fluid

Three different types of modulation are considered, namely a pure cosine as well as rounded triangle and rounded square profiles, where the latter two of these have applications in various physical situations. Interest lies in how the nature of the convection and temperature diffusion change as the amplitude of these modulations is increased. Both no-slip and slip conditions will be implemented on the upper and lower boundaries of the layer and the differences between the two will be considered for selected cases.