Quadratic finite elements and incompressible viscous flows.

Journal Article · Sat Jan 01 00:00:00 EST 2005 · Proposed for publication in Computer Methods in Applied Mechanics and Engineering.

OSTI ID:990988

Dohrmann, Clark R; Gartling, David K

Pressure stabilization methods are applied to higher-order velocity finite elements for application to viscous incompressible flows. Both a standard pressure stabilizing Petrov-Galerkin (PSPG) method and a new polynomial pressure projection stabilization (PPPS) method have been implemented and tested for various quadratic elements in two dimensions. A preconditioner based on relaxing the incompressibility constraint is also tested for the iterative solution of saddle point problems arising from mixed Galerkin finite element approximations to the Navier-Stokes equations. The preconditioner is demonstrated for BB stable elements with discontinuous pressure approximations in two and three dimensions.

• Research Organization: Sandia National Laboratories (SNL), Albuquerque, NM, and Livermore, CA (United States)
• Sponsoring Organization: USDOE
• DOE Contract Number: AC04-94AL85000
• OSTI ID: 990988
• Report Number(s): SAND2005-0252J; CMMECC; TRN: US201020%%657
• Journal Information: Proposed for publication in Computer Methods in Applied Mechanics and Engineering., Vol. 195, Issue 13-16; ISSN 0045-7825
• Country of Publication: United States
• Language: English

Related Subjects

42 ENGINEERING
97 MATHEMATICAL METHODS AND COMPUTING
APPROXIMATIONS
INCOMPRESSIBLE FLOW
VISCOUS FLOW
FINITE ELEMENT METHOD
ITERATIVE METHODS
NAVIER-STOKES EQUATIONS