Numerical solution of the Navier-Stokes equations for three-dimensional incompressible flows with open boundaries

Conference · Sat Dec 31 23:00:00 EST 1988

OSTI ID:5898199

Schutt, J. A.

Numerical modeling of the transient, nonisothermal, three-dimensional, incompressible Navier-Stokes equations imposes extreme demands on computational resources. For incompressible flow the Navier-Stokes equations form a coupled parabolic-elliptic set, with the elliptic nature caused by the incompressibility constraint. The elliptic nature of the incompressibility constraint forces some portion of the solution algorithm to be implicit, with the attendant computational costs. In addition, in regions of the computational domain where advective effects overwhelm viscous effects, the Navier-Stokes equations exhibit behavior which is similar to the hyperbolic nature of the Euler (inviscid) equations. In such regions many numerical methods which are suitable for parabolic equations will be dispersive, causing oscillations to appear in the solution. If accurate long-time solutions are required, dispersion must be avoided, as well as excessive numerical diffusion, which can result from attempts to control dispersion. The numerical algorithm presented here attempts to address these issues. 10 refs., 4 figs.

• Research Organization: Sandia National Labs., Albuquerque, NM (USA)
• DOE Contract Number: AC04-76DP00789
• OSTI ID: 5898199
• Report Number(s): SAND-89-0046C; CONF-890752-1; ON: DE89009333
• Country of Publication: United States
• Language: English

Related Subjects

640410* -- Fluid Physics-- General Fluid Dynamics
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
99 GENERAL AND MISCELLANEOUS
990230 -- Mathematics & Mathematical Models-- (1987-1989)
BOUNDARY CONDITIONS
DIFFERENTIAL EQUATIONS
EQUATIONS
FLUID FLOW
INCOMPRESSIBLE FLOW
NAVIER-STOKES EQUATIONS
NUMERICAL SOLUTION
PARTIAL DIFFERENTIAL EQUATIONS
THREE-DIMENSIONAL CALCULATIONS