Fluid flow analysis using the boundary element method

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.