Block-implicit multigrid solution of Navier-Stokes equations in primitive variables

Journal Article · Tue Jul 01 04:00:00 EDT 1986 · J. Comput. Phys.; (United States)

DOI:https://doi.org/10.1016/0021-9991(86)90008-2· OSTI ID:5647734

Vanka, S P

A calculation procedure for rapid computation of steady multidimensional viscous flows is presented. The method solves the Navier-Stokes equations in primitive variables using a coupled block-implicit multigrid procedure. The procedure is applicable to finite-difference formulatins using staggered locations of the flow variables. A smoothing technique called symmetrical coupled Gauss-Seidel (SCGS) is proposed and is empirically observed to provide good smoothing rates. The viscous flow in a square cavity with a moving top wall is calculated for a range of Reynolds numbers. Calculations with finite difference grids as large as 321 x 321 nodes have been made to test the accuracy and efficiency of the calculation scheme. The CPU times for these calculations are observed to be significantly smaller than other solution algorithms with primitive varible formulation. The calculated flow fields in the cavity are in good agreement with earlier studies of the same flow situation.

• Research Organization: Argonne National Laboratory, Components Technology Division, Argonne, Illinois 60439
• OSTI ID: 5647734
• Journal Information: J. Comput. Phys.; (United States), Journal Name: J. Comput. Phys.; (United States) Vol. 65:1; ISSN JCTPA
• Country of Publication: United States
• Language: English

Related Subjects

640410* -- Fluid Physics-- General Fluid Dynamics
658000 -- Mathematical Physics-- (-1987)
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
COMPUTER CODES
DIFFERENTIAL EQUATIONS
EQUATIONS
FLUID FLOW
NAVIER-STOKES EQUATIONS
NONLINEAR PROBLEMS
NUMERICAL SOLUTION
PARTIAL DIFFERENTIAL EQUATIONS
S CODES
VISCOUS FLOW