An auxiliary potential velocity method for incompressible viscous flow

In this article a novel auxiliary potential velocity scheme for incompressible flows is presented. The present method is characterized by high accuracy, robustness and simple implementation. Its advantages are highlighted by applying it to several benchmark problems (internal duct flow, flow over a backward facing step) and by extensive comparison with other numerical methods such as SIMPLE and CVP concerning accuracy and convergence. The accuracy of the predictions of the present method is demonstrated through comparison with experimental data.

► Novel scheme for incompressible flows based on the auxiliary potential velocity.
► Easy application to steady state and transient problems.
► Valid for rotational and irrotational flows.
► Scrutinized through benchmark problems (internal duct flow, backward facing step).