In recent years, thanks to the great progresses in numerical approaches, computational procedures are increasingly applied to different braches of science, and more specifically to engineering and related physical sciences. Fluid and solid mechanics are known as two separate fields of mechanical science and technology including several applications from solids and structures analyses to fluid flow and heat transfer problems. The mentioned topics are of much interest to physicists, mathematicians and in particular, mechanical engineers. The objective of this special issue is to establish a unique collection in the subject of computational solid and structural mechanics, fluid dynamics, nanolfluids heat and mass transfer and of course multiphysics problems emphasizing the applications of advanced computational approaches. Modeling, simulation and solution of engineering problems are of great interest and mostly welcome in this special collection.