Accession Number : ADA192760

Title :   On the Smallest Scale for the Incompressible Navier-Stokes Equations.

Descriptive Note : Final rept.,

Corporate Author : INSTITUTE FOR COMPUTER APPLICATIONS IN SCIENCE AND ENGINEERING HAMPTON VA

Personal Author(s) : Henshaw, W D ; Kreiss, H O ; Reyna, L G

PDF Url : ADA192760

Report Date : Jan 1988

Pagination or Media Count : 52

Abstract : For solutions to the two and three dimensional incompressible Navier Stokes equations the minimum scale is inversely proportional to the square root of the Reynolds number based on the kinematic viscosity and the maximum of the velocity gradients. The bounds on the velocity gradients can be obtained for two dimensional flows, but have to be assumed in three dimensions. Numerical results in two dimensions are given which illustrate and substantiate the features of the proof. Implications of the minimum scale result to the decay rate of the energy spectrum are discussed. Keywords: Navier Stokes equations; Spectral method; Turbulence calculation.

Descriptors :   *NAVIER STOKES EQUATIONS, *TURBULENCE, COMPUTATIONS, ENERGY, GRADIENTS, INCOMPRESSIBILITY, KINEMATICS, NUMERICAL ANALYSIS, RATES, REYNOLDS NUMBER, SCALE, SQUARE ROOTS, VELOCITY, VISCOSITY, SPECTRUM ANALYSIS, DECAY SCHEMES, TWO DIMENSIONAL FLOW, THREE DIMENSIONAL FLOW, INCOMPRESSIBLE FLOW

Subject Categories : Fluid Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE