Finding the Velocity Field—Pressure/Velocity Couplings

Abstract

AbstractFor the developments presented so far, the velocity field has been assumed to be known whenever necessary. We are now prepared to study the techniques for obtaining the velocity field, since in any engineering simulation involving fluid flow, the most important and intricate solution is the fluid mechanics one. All other scalars, such as temperature, species concentration, turbulent kinetic energy, turbulent kinetic energy dissipation, and others, require the velocity field. All Computational Fluid Dynamics techniques, as the name suggests, is related to the solution of the mass conservation and momentum conservation equations. Besides the significant non-linearities Non linearities present in the advection. Advection terms, there is a strong, but subtle coupling between pressure and velocity. These two issues are on the kernel of the developments in computational fluid dynamics and has received an enormous amount of research in the last four decades, with lots of publications of articles and textbooks in the field. There are, however, concepts in the numerical machinery for treating the pressure–velocity coupling which takes time to mature for reaching a good deep understanding. This chapter aims to shorten this path.