Spectral/hp penalty least-squares finite element formulation for unsteady incompressible flows Academic Article

abstract

• AbstractIn this paper, we present spectral/hp penalty leastsquares finite element formulation for the numerical solution of unsteady incompressible NavierStokes equations. Pressure is eliminated from NavierStokes equations using penalty method, and finite element model is developed in terms of velocity, vorticity and dilatation. Highorder element expansions are used to construct discrete form. Unlike other penalty finite element formulations, equalorder Gauss integration is used for both viscous and penalty terms of the coefficient matrix. For time integration, spacetime decoupled schemes are implemented. Secondorder accuracy of the time integration scheme is established using the method of manufactured solution. Numerical results are presented for impulsively started liddriven cavity flow at Reynolds number of 5000 and transient flow over a backwardfacing step. The effect of penalty parameter on the accuracy is investigated thoroughly in this paper and results are presented for a range of penalty parameter. Present formulation produces very accurate results for even very low penalty parameters (1050). Copyright 2008 John Wiley & Sons, Ltd.

authors

• Reddy, Junuthula

published proceedings

• INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS

author list (cited authors)

• Prabhakar, V., & Reddy, J. N.

citation count

• 9

complete list of authors

• Prabhakar, V||Reddy, JN

publication date

• September 2008

publisher

• Wiley  Publisher

keywords

• Least-squares Method
• Penalty Method
• Spectral/hp Method
• Viscous Incompressible Flow

Digital Object Identifier (DOI)

• 10.1002/fld.1708

start page

• 287

end page

• 306

volume

• 58

issue

• 3

URL

• http://dx.doi.org/10.1002/fld.1708