Abstract:
An Attempt at development of theory and computer program for the solution of
potential and viscous flow problems using the Boundary Element Methods is
introduced in this work. A program for potential flow analysis of cascades is
developed and properly validated. Theory and programs for boundary element
analysis of viscous flow using vorticity-velocity formulation and pressure-velocity
formulation along with the penalty function approach were developed. Many tests
were carried out on the programs, and case studies of Poiseuille, Couette and
driven-cavity flows were analysed and results were compared with existing
solutions. The developed vorticity-velocity algortithms converge well for low
Reynolds number, but the program based on the penalty function approach has
limited success only for cases without domain integrations.