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Mass loss plays a crucial role in the lives of massive stars, especially asthe star leaves the main sequence and evolves to the red supergiant (RSG)phase. However, the physical processes that trigger mass-loss events in RSGsare not well understood. Recently, we showed that adding a static wind to aMARCS atmospheric model can accurately reproduce observed extensions in theatmospheres of RSGs. In this work, we compute synthetic observables that matchnew interferometric data of the RSGs AH Sco, KW Sgr, V602 Car, CK Car, and V460Car obtained with VLTI/MATISSE and GRAVITY. We computed model spectra andvisibilities and found the best-fit model, mass-loss rate, and best-fit angularRosseland diameter for the observations. We matched our model to the data,covering a wavelength range of $1.8-5.0\,\mu$m, which corresponds to the $K$,$L,$ and $M$ bands. Our models reproduce the spectro-interferometric data overthis wide wavelength range, including extended atmospheric layers of CO,H$_2$O, and SiO. We obtain Rosseland angular diameters between$3.0<\theta_{\mathrm{Ross}}<5.5$ mas and mass-loss rates of $-6.5<\log\dot{M}/M_{\odot}\mathrm{yr}^{-1}<-4$. The partial pressure of SiO relative tothe gas pressure and the SiO 4.0$\,\mu$m line intensity increase between 2 and3 stellar radii. The relative intensity depends on the luminosity used for ourmodels, since the more luminous models have a higher mass-loss rate. This workfurther demonstrates that our MARCS+wind model can reproduce the observedphysical extension of RSG atmospheres for several spectral diagnostics spanninga broad wavelength range. We reproduce both spectra and visibilities of newlyobtained data as well as provide temperature and density stratifications thatare consistent with the observations. With the MATISSE data, we newly includethe extension of SiO layers as a precursor of silicate dust.

The effect of winds on atmospheric layers of red supergiants II.  Modelling VLTI/GRAVITY and MATISSE observations of AH Sco, KW Sgr, V602 Car,  CK Car and V460 Car