Meshless point collocation for the numerical solution of Navier-Stokes flow equations inside an evaporating sessile droplet

► The flow field inside an evaporating sessile droplet is computed with meshless numerical techniques. ► The Moving Least Squares and the Radial Basis Function approximations are employed. ► An augmented linear system to tackle the zero shear-stress condition at the interface is used. ► The results compare very satisfactorily with analytical and finite volume predictions.