Accession Number : ADA296029

Title :   Numerical Study of the Unified Kadomtsev-Petviashvili Equation.

Descriptive Note : Technical rept.,

Corporate Author : DELAWARE UNIV NEWARK CENTER FOR APPLIED COASTAL RESEARCH

Personal Author(s) : Chen, Yongze ; Liu, Philip L.

PDF Url : ADA296029

Report Date : JUN 1995

Pagination or Media Count : 43

Abstract : In this paper, we numerically investigate the unified Kadomtsev-Petviashvili (uKP) equation derived by Chen & Liu (1995), which described weakly nonlinear and dispersive surface and interfacial waves propagating primarily in the longitudinal direction of a slowly rotating channel with varying topography on the propagation of a solitary wave in a stationary channel and a Kelvin solitary wave in a rotating channel. We find that in the absence of rotation, an oblique incident solitary wave propagating over a three-dimensional shelf in a straight wide channel will eventually develop into a series of uniform straight-crested solitary waves, together with a train of small oscillatory waves propagating upstream; with proper phase shifts, the shapes of these final two-dimensional solitary waves coincide with the shapes of those final solitary waves emerged from a corresponding normal incident solitary wave propagating over a corresponding two-dimensional shelf. In a two-layered rotating channel, the variation of topography does not have much effect on the propagation of a Kelvin solitary wave of depression, whereas it can have a significant influence on the propagation of a Kelvin solitary wave of elevation. Explanations for these numerical findings are given. (AN)

Descriptors :   *WATER WAVES, MATHEMATICAL MODELS, WATER FLOW, SURFACE WAVES, OCEAN CURRENTS, TWO DIMENSIONAL, FINITE ELEMENT ANALYSIS, TOPOGRAPHY, VARIATIONS, THREE DIMENSIONAL, NONLINEAR SYSTEMS, WAVE PROPAGATION, NUMERICAL METHODS AND PROCEDURES, ELEVATION, INTEGRAL EQUATIONS, OSCILLATION, ROTATION, CHANNEL FLOW, DISPERSIONS, PHASE SHIFT.

Subject Categories : Numerical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE