Implementation of the fractional-step, artificial compressibility with pressure projection (FSAC-PP) method into openfoam for unsteady flows

Commercial and open-source CFD solvers rely mostly on incompressible approximate projection methods to overcome the pressure-velocity decoupling, such as SIMPLE (Patankar, 1980) or PISO (Issa, 1986) algorithm. Incompressible based Artificial Compressibility method (Chorin, 1967) lack a mechanism evolve in time need be supplemented by real derivative through dual scheme. The current study investigates implementation of explicit discretization into OpenFOAM extends that applying scheme FSAC-PP (Könözsy, 2012). Applied Couette 2D flow at Re=100 Re=1000, results show for both accurate evolutions velocity profiles are presented, where seemingly produces smoother compared AC method, especially during start-up simulation.