Accession Number : ADP008746

Title :   Geometric Thermodynamics as a Tool for Analysis and Prediction in Oceanography,

Corporate Author : CASE WESTERN RESERVE UNIV CLEVELAND OH DEPT OF MATHEMATICS AND STATISTICS

Personal Author(s) : Fitzmaurice, Nessan ; Woyczynski, Wojbor ; Odulo, Anatoly

Report Date : NOV 1993

Pagination or Media Count : 23

Abstract : The physical parameters that are important to oceanographers often have a stochastic nature and can be represented as the sum of a deterministic average and a random component of zero mean. Coastline shapes, water depth and fluid density are examples of such quantities. When the random components are small, perturbation methods can be used to calculate their effects on the mean flow. However, in certain cases it is the derivative of the random component which is of importance and that can have a very large magnitude. Consequently, the ostensibly small stochastic part may well be more influential than the smooth average component. This paper presents a technique for quantifying roughness that can be easily implemented for experimental data sets and apply the method to some bathymetric examples. Moreover, to examine how such randomness will influence ocean flows we consider the problem of predicting the dispersion relations for topographic Rossby waves propagating in the presence of a rough ocean floor. The random depth and its derivative act as coefficients in the equations governing topographic Rossby waves. This papers analytically and numerically examines the solutions to those equations and consider how they change as the roughness of the bottom increases.

Descriptors :   *OCEANOGRAPHY, *THERMODYNAMICS, *NUMERICAL ANALYSIS, *PARTIAL DIFFERENTIAL EQUATIONS, MATHEMATICAL PREDICTION, TOPOGRAPHY, OCEAN ENVIRONMENTS, BATHYTHERMOGRAPH DATA, CURVE FITTING.

Subject Categories : Physical and Dynamic Oceanography
      Thermodynamics

Distribution Statement : APPROVED FOR PUBLIC RELEASE