  We adopted an unstructured hydrodynamical solver CharLES to the problem of
global convection in the Sun. With the aim to investigate the properties of
solar turbulent convection and reproduce differential rotation pattern. We
performed simulations in two spherical shells, with 1.3 and 10 million cells.
In the first, coarse mesh, the solution does not reproduce realistic
convection, and is dominated by numerical effects. In the second mesh, thermal
conduction leads to cooling of bottom layers, that could not be compensated by
solar irradiance. More simulations in the 10M cells mesh should be performed to
investigate the influence of transport coefficients and numerical effects. Our
estimate of the code performance suggests, that realistic simulations in even
finer grids could be performed for reasonable computational cost.
