Alternate formulations for the pressure equation Laplacian on a collocated grid for solving the unsteady incompressible Navier-Stokes equations

Journal Article · Sun Jan 01 00:00:00 EST 1995 · Journal of Computational Physics

DOI:https://doi.org/10.1006/jcph.1995.1012· OSTI ID:105464

Tafti, D ^[1]

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1. Univ. of Illinois, Urbana-Champaign, IL (United States)

The solution of the unsteady incompressible Navier-Stokes on a collocated grid is investigated. A consistent formulation to construct the Laplacian in the pressure equation is developed. It is shown that within this framework, Laplacians with different characteristics can be constructed, which can be made to satisfy discrete continuity and considerably reduce pressure oscillations. A third-order forward-biased approximation for the gradient operator of pressure works very well in completely eliminating pressure oscillations in a lid-driven cavity flow test problem. 22 refs., 7 figs., 2 tabs.

• OSTI ID: 105464
• Journal Information: Journal of Computational Physics, Vol. 116, Issue 1; Other Information: PBD: Jan 1995
• Country of Publication: United States
• Language: English

Related Subjects

42 ENGINEERING NOT INCLUDED IN OTHER CATEGORIES
99 MATHEMATICS
COMPUTERS
INFORMATION SCIENCE
MANAGEMENT
LAW
MISCELLANEOUS
66 PHYSICS
NAVIER-STOKES EQUATIONS
NUMERICAL SOLUTION
INCOMPRESSIBLE FLOW
LAPLACIAN