Navier-Stokes solutions using a finite element algorithm

Abstract

A finite element numerical algorithm is established for the transformed-transient, and parabolic three-dimensional Navier-Stokes equations governing turbulent flow of a variable viscosity constant density fluid. The solution algorithm is established for the characteristic, uniformly parabolic equation using the Galerkin criterion on a local basis within the Method of Weighted Residuals. The algorithm contains no requirement for computational mesh or solution domain closure regularity. General boundary condition constraints for all variables are piecewise enforceable on domain closure segments arbitrarily oriented with respect to a global reference frame. Numerical solutions verify the method for diverse problems including recirculation.