A stress-based least-squares finite-element model for incompressible Navier-Stokes equations

AbstractIn this paper we present a stressbased leastsquares finiteelement formulation for the solution of the NavierStokes equations governing flows of viscous incompressible fluids. Stress components are introduced as independent variables to make the system first order. Continuity equation becomes an algebraic equation and is eliminated from the system with suitable modifications. The h and p convergence are verified using the exact solution of Kovasznay flow. Steady flow past a large circular cylinder in a channel is solved to test mass conservation. Transient flow over a backwardfacing step problem is solved on several meshes. Results are compared with that obtained using vorticitybased firstorder formulation for both benchmark problems. Copyright 2007 John Wiley & Sons, Ltd.

A stress-based least-squares finite-element model for incompressible Navier-Stokes equations Academic Article