A finite element formulation for transient incompressible viscous flows stabilized by local time-steps |
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Affiliation: | 1. Department of Mechanical Engineering, Isfahan University of Technology, Isfahan, Iran;2. Department of Mechanical Engineering, Shahrood University of Technology, Semnan, Iran |
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Abstract: | Stabilized finite element formulations are well suited for convection dominated flows and for the solution of the incompressible Navier–Stokes equations in primitive variables. In this paper, we present a method where the structure of stabilization terms appear naturally from a least-squares minimization of the time-discretized momentum balance. Local time-steps, chosen according to the time-scales of convection–diffusion of momentum, play the role of stabilization parameters. Numerical solutions of incompressible viscous flows demonstrate the usefulness of the proposed stabilized formulation. |
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