Mathematical foundations for numerical solution of Navier-Stokes equations

Technical Report · Thu Jul 01 04:00:00 EDT 1982

OSTI ID:6698234

Wachspress, E L

Mathematical foundations for the TEACH/TURF numerical solution of the Navier-Stokes equation are explored. Properties of the discrete equations sufficient to guarantee convergence of the iterative procedure are described. It is proved that a problem-dependent range of underrelaxation parameters exists for which the pressure-velocity iteration of the linearized equations is convergent. Convergence of the iteration on the nonlinearity is not established. It is observed that turbulence modeling affects the nonlinear iteration and that existence of a stable time-averaged solution to the turbulent flow equations must be examined. A crucial property required of the discrete equations for convergence is developed.

• Research Organization: Knolls Atomic Power Lab., Schenectady, NY (USA)
• DOE Contract Number: AC12-76SN00052
• OSTI ID: 6698234
• Report Number(s): KAPL-4152; ON: DE83002539
• Country of Publication: United States
• Language: English

Related Subjects

640410* -- Fluid Physics-- General Fluid Dynamics
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
COMPUTER CALCULATIONS
DIFFERENTIAL EQUATIONS
EQUATIONS
FLUID FLOW
ITERATIVE METHODS
LAMINAR FLOW
NAVIER-STOKES EQUATIONS
NONLINEAR PROBLEMS
NUMERICAL SOLUTION
PARTIAL DIFFERENTIAL EQUATIONS
TURBULENT FLOW