SOLUTION OF FLUID FLOW PROBLEMS WITH THE VORTICITY-STREAMFUNCTION FORMULATION AND THE CONTROL-VOLUME-BASED FINITE-ELEMENT METHOD

Abstract
The vorticity-streamfunction formulation is implemented on the control-volume-based finite-element method (CVFEM). The key contribution of this work is the formulation of the wall vorticity, which allows successful modeling of fluid flow problems with irregular boundaries. The resulting algorithm exhibits the desirable qualities of consistency, accuracy, and stability.