A robust, artificial compressibility scheme has been developed for modelling laminar steady
state and transient, incompressible flows over a wide range of Reynolds and Rayleigh
numbers. Artificial compressibility is applied in a consistant manner resulting in a system of
preconditioned governing equations. A locally generalized preconditioner is introduced,
designed to be robust and offer good convergence rates. Free artificial compressibility
parameters in the equations are automated to allow ease of use while facilitating improved …

In Part I of this paper, a preconditioned artificial compressibility scheme was developed for
modelling laminar steady‐state and transient, incompressible flows for a wide range of
Reynolds and Rayleigh numbers. In this part, several examples of laminar incompressible
problems are solved and discussed. The influence of various AC parameters on robustness
and convergence rates are assessed for a complex category of problems. It is shown that the
scheme developed in Part I is an accurate, robust and easy to use method for solving …