GRAVIT-INDUCED WATER WAVES HAVE AN IMPORTANT ON MANY OF MAN'S ACTIVITIES IN THE SHALLOW WATERS OF OUR COASTAL REGIONS, INCLUDING SHIP NAVIGATION, DESIGN OF OFFSHORE STRUCTURES, SEDIMENT TRANSPORT, ETC.

Award Information
Agency:
National Science Foundation
Branch
n/a
Amount:
$36,000.00
Award Year:
1985
Program:
SBIR
Phase:
Phase I
Contract:
n/a
Agency Tracking Number:
2599
Solicitation Year:
n/a
Solicitation Topic Code:
n/a
Solicitation Number:
n/a
Small Business Information
Titan Systems Inc
50 Washington Rd, P O Box 2229, Princeton, NJ, 08540
Hubzone Owned:
N
Minority Owned:
N
Woman Owned:
N
Duns:
n/a
Principal Investigator:
HARVEY SEGUR
SENIOR CONSULTANT
(609) 452-2950
Business Contact:
(609) 452-2950
Research Institution:
n/a
Abstract
GRAVIT-INDUCED WATER WAVES HAVE AN IMPORTANT ON MANY OF MAN'S ACTIVITIES IN THE SHALLOW WATERS OF OUR COASTAL REGIONS, INCLUDING SHIP NAVIGATION, DESIGN OF OFFSHORE STRUCTURES, SEDIMENT TRANSPORT, ETC. WAVES IN SHALLOW WATERSEDIMENT TRANSPORT ARE OBSERVED TO BE NONLINEAR, AND THE SURFACE WAVE PATTERNS ARE FULLY TWO-DIMENSIONAL. WE PROPOSEHERE TO CONSTRUCT AN EXPLICIT, ANALYTICAL MODEL OF PERIODIC WAVES OF FINITE AMPLITUDE IN SHALLOW WATER, BY DEVELOPING A CERTAIN CLASS OF EXACT SOLUTIONS OF THE KADOMTSEV-PETVIASHVILI (OR "TWO-DIMENSIONAL KORTEWEG-DEVRIES") EQUATION. THE WAVES PRODUCED BY THIS MODEL WOULD HAVE TWO INDEPENDENT SPATIAL PERIODS IN TWO INDEPENDENT HORIZONTAL DIRECTIONS. BOTH LONG-CRESTED AND SHORT-CRESTED WAVES WOULD BE AVAILABLE. THESE BI-PERIODIC WAVES WOULD BE DIRECT GENERALIZATIONS OF THE WELL-KNOWN (SIMPLY PERIODIC) CNOIDAL WAVES. JUST AS CNOIDAL WAVES ARE OFTEN USED AS ONE-DIMENSIONAL MODELS OF "TYPICAL" NONLINEAR PERIODIC WAVES IN SHALLOW WATER, THESE BI-PERIODIC WAVES WOULD REPRESENT "TYPICAL" NONLINEAR PERIODIC WAVES IN SHALLOW WATER WITHOUT THE ASSUMPTION OF ONE-DIMENSIONALITY. THE COMPLETE MODEL WOULD BE ENCODED IN A SIMPLE SOFTWARE PACKAGE.

* information listed above is at the time of submission.

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