Solution of the time-dependent Navier--Stokes equations via F. E. M

Conference · Wed Feb 01 04:00:00 EST 1978

OSTI ID:6729182

Gresho, P M; Lee, R L; Stullich, T W; Sani, R L

As a step toward generating a time-dependent, three-dimensional numerical model of the atmospheric boundary layer, a new time integration algorithm for solving the incompressible, two-dimensional, time-dependent Navier--Stokes equations was developed for incorporation into a finite-element computer code. The code employs the primitive variables (u,v,p) and includes three types of elements, all defined on isoparametric quadrilaterals. The goal was to generate accurate, yet efficient solutions to the (semidiscretized) time-dependent problem with an algorithm that would be stable for any grid spacing and any Reynolds number. While the presentation is based on a finite-element spatial discretization, it is by no means so limited and could be easily applied to a finite difference discretization. The concept is thought to be fundamentally sound, and this method of treating time-dependent flows, and perhaps even steady flows, has much to offer with respect to accuracy, stability, and computational efficiency. 8 figs. 2 tables. (RWR)

• Research Organization: California Univ., Livermore (USA). Lawrence Livermore Lab.
• DOE Contract Number: W-7405-ENG-48
• OSTI ID: 6729182
• Report Number(s): UCRL-80125; CONF-780717-1
• Country of Publication: United States
• Language: English

Related Subjects

500100 -- Environment
Atmospheric-- Basic Studies-- (-1989)
54 ENVIRONMENTAL SCIENCES
640410* -- Fluid Physics-- General Fluid Dynamics
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
AERODYNAMICS
ALGORITHMS
BOUNDARY LAYERS
DIFFERENTIAL EQUATIONS
EARTH ATMOSPHERE
EQUATIONS
FINITE ELEMENT METHOD
FLUID FLOW
FLUID MECHANICS
INCOMPRESSIBLE FLOW
LAYERS
MATHEMATICAL LOGIC
MATHEMATICAL MODELS
MECHANICS
NAVIER-STOKES EQUATION
NUMERICAL SOLUTION
TIME DEPENDENCE
TWO-DIMENSIONAL CALCULATIONS