
Accession Number : AD0653112
Title : LAGRANGIANHISTORY 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 Lagrangianhistory directinteraction approximation for Burgers' equation yields a 1/(k sq) inertialrange spectrum and an infiniteReynoldsnumber 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, zeromean, infiniteReynoldsnumber initial ensembles are expected to evolve. The different inertialrange predictions of the approximation for Burgers' equation and NavierStokes dynamics (where k to the 5/3 power results) are directly associated with the effects of pressureinduced 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