Accession Number : AD0653112

Title :   LAGRANGIAN-HISTORY STATISTICAL THEORY FOR BURGERS' EQUATION.

Descriptive Note : Research rept.,

Corporate Author : KRAICHNAN (ROBERT H) PETERBOROUGH N H

Personal Author(s) : Kraichnan,Robert H.

Report Date : JUN 1967

Pagination or Media Count : 39

Abstract : The Lagrangian-history direct-interaction approximation for Burgers' equation yields a 1/(k sq) inertial-range spectrum and an infinite-Reynolds-number similarity solution which describes stationary, decaying sawtooth shock waves. This solution differs only by a numerical factor from an exact statistical solution of Burgers' equation into which almost all spatially periodic, zero-mean, infinite-Reynolds-number initial ensembles are expected to evolve. The different inertial-range predictions of the approximation for Burgers' equation and Navier-Stokes dynamics (where k to the -5/3 power results) are directly associated with the effects of pressure-induced accelerations on Langrangian correlation times. (Author)

Descriptors :   (*SHOCK WAVES, STATISTICAL ANALYSIS), TURBULENCE, THEORY, APPROXIMATION(MATHEMATICS), REYNOLDS NUMBER, PRESSURE, CORRELATION TECHNIQUES

Subject Categories : Fluid Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE