Higher order spectral/hp finite element models of the Navier-Stokes equations Academic Article

abstract

• 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.

authors

• Reddy, Junuthula
• Sadr, Reza

published proceedings

• INTERNATIONAL JOURNAL OF COMPUTATIONAL FLUID DYNAMICS

altmetric score

• 0.5

author list (cited authors)

• Vallalaa, V. P., Sadr, R., & Reddy, J. N.

citation count

• 9

publication date

• January 2014

publisher

• Taylor & Francis  Publisher

keywords

• First-order Formulations
• Higher Order Finite Elements
• Least-squares Formulations
• Navier-stokes Equations
• Spectral/hp Methods

Digital Object Identifier (DOI)

• 10.1080/10618562.2014.886685

start page

• 16

end page

• 30

volume

• 28

issue

• 1-2

URL

• http://dx.doi.org/10.1080/10618562.2014.886685