Continuous Adjoint based optimization using a pseudocompressibility implicit solver in OpenFOAM

Aim: Solution of the incompressible Navier-Stokes equations •Problem: No inherent coupling for the continuity and momentum equations •Popular solution: The SIMPLE family methods. Loose coupling through a prediction-correction scheme. Inherently segregated algorithm. Slow convergence •OpenFOAM (standard) implementation: Segregated solution of the momentum equations •Different approach: Implicit solver. Simultaneous solution of the continuity and momentum equations. Faster convergence. More robust. Less memory efficient. •Motivation: a) Faster primal and adjoint equations solver, b) Implicit treatment of the stiff ATC term in the OpenFOAM environmen