Numerical solution of steady viscous flow past a streamlined cylinder in von mises coordinates

Abstract

The numerical solution of steady viscous incompressible flow past a cylinder of streamlined cross-section have been obtained using the von Mises coordinates ( x, ψ), where ψ is the streamfunction of the flow. The governing equations are reduced to a system of two equations in two unknowns y( x, ψ) and ω( x, ψ). This system is solved subject to the appropriate boundary conditions in the von Mises computational domain at Reynolds numbers up to 40 for two specific cross-sections.