THREE-DIMENSIONAL STRATIFIED FLUIDS

Award Information
Agency:
National Science Foundation
Branch
n/a
Amount:
$40,000.00
Award Year:
1984
Program:
SBIR
Phase:
Phase I
Contract:
n/a
Agency Tracking Number:
1593
Solicitation Year:
n/a
Solicitation Topic Code:
n/a
Solicitation Number:
n/a
Small Business Information
Daniel H. Wagner Associates
1807 George Wash Memorial Hwy, Yorktown, VA, 23692
Hubzone Owned:
N
Socially and Economically Disadvantaged:
N
Woman Owned:
N
Duns:
n/a
Principal Investigator:
DR. W.K. STEVENS
ASSOCIATE
() -
Business Contact:
Dr. W.k. Stevens
Associate
() -
Research Institution:
n/a
Abstract
THE PROPOSED RESEARCH HAS THE GENERAL OBJECTIVE OF CREATING INNOVATIVE NEW NUMERICAL ENGINEERING TOOLS FOR SOLVING THREE-DIMENSIONAL STRATIFIED FLOWS CONTAINING HYDRAULIC JUMPS. THE PROPOSED NUMERICAL TECHNIQUE IS BASED ON A MULTILAYER MODEL CONSISTING OF N HORIZONTAL, HOMOGENEOUS LAYERS WHICH IS USED TO APPROXIMATE STEADY, STRATIFIED, INCOMPRESSIBLE FLOWS UNDER THE ASSUMPTION OF HYDROSTATIC BALANCE. OUR TREATMENT OF FLOW DISCONTINUITIES IS BASED ON THE WELL-KNOWN ANALOGY BETWEEN CLASSICAL SHALLOW WATER HYDRAULICS AND STEADY, TWO-DIMENSIONAL, COMPRESSIBLE GAS DYNAMICS. A FINITE DIFFERENCE METHOD, ADAPTED FROM STANDARD GAS DYNAMICS NUMERICAL TECHNIQUES, EMPLOYING A SECOND ORDER PREDICTOR-CORRECTOR SCHEME FOR SPATIAL DERIVATIVES WHICH AUTOMATICALLY ADAPTS TO THE LOCAL PROPERTIES OF THE GOVERNING DIFFERENTIAL EQUATIONS WILL BE USED. TIME DERIVATIVES WILL BE APPROXIMATED USING CERTAIN CHARACTERISTIC FORMS OF THE GOVERNING EQUATIONS. FLOW DISCONTINUITIES WILL BE AUTOMATICALLY DETECTED AND TRACKED USING RIEMANN INVARIANTS FOR DETECTION AND THE RANKINE-HUGONIOT CONDITIONS FOR TRACKING. INTENDED APPLICATIONS INCLUDE SMALL-SCALE GEOPHYSICAL PHENOMENA SUCH AS WINDS IN THREE-DIMENSIONAL VALLEY-RIDGE SYSTEMS, OCEANIC CURRENTS AROUND ISOLATED ISLANDS OR SEA MOUNTS, ETC. EMPHASIS WILL BE PLACED ON APPLICABILITY AND EFFICIENCY, WITH A PRIMARY GOAL OF DEVELOPING SOUND NUMERICAL PREDICTIVE TOOLS APPLICABLE TO REALISTIC GEOPHYSICAL FLOW PROBLEMS.

* information listed above is at the time of submission.

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