In this work, steady-state thermosolutal convection in a square cavity, subject to horizontal temperature and concentration gradients, is numerically simulated by using a new efficient matrix inversion free numerical procedure. The algorithm is based on the explicit Artificial Compressibility (AC) version of the Characteristic Based Split (CBS) scheme, opportunely stabilized by the authors to solve Double Diffusion problems. Rectangular cavities with different aspect ratios, subject to Dirichlet and Neumann boundary conditions, have been considered as computational domain. The thermal and solutal buoyancy forces acting on the fluid have been taken into account in case of aiding and opposing flow condition. All the results presented in this paper have been validated against the numerical and experimental data available from the literature.
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