Higher order spectral/hp finite element models of the Navier–Stokes equations
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In this paper, we present higher order least-squares finite element formulations for viscous, incompressible, isothermal Navier-Stokes equations using spectral/hp basis functions. The second-order Navier-Stokes equations are recast as first-order system of equations using stresses as auxiliary variables. Both steady-state and transient problems are considered. For a better coupling of pressure and velocity, especially in transient flows, an iterative penalisation strategy is employed. The outflow-type boundary conditions are applied in a weak sense through the least-squares functional. The formulation is verified by solving various benchmark problems like the lid-driven cavity, backward-facing step and flow over cylinder problems using direct serial solver UMFPACK. © 2014 © 2014 Taylor & Francis.
author list (cited authors)
Vallalaa, V. P., Sadr, R., & Reddy, J. N.