Accession Number : ADA190518
Title : Testing Finite Differencing Schemes for the Shallow Water Equations.
Descriptive Note : Memorandum rept.,
Corporate Author : SACLANT ASW RESEARCH CENTRE LA SPEZIA (ITALY)
Personal Author(s) : Peggion, G
PDF Url : ADA190518
Report Date : Oct 1987
Pagination or Media Count : 24
Abstract : The explicit, the semi-implicit, and the fractional step schemes are testbed and compared in the solution of the shallow water equations. The explicit finite-difference formulation is the most accurate, but is restricted by a stability condition which is not suitable for long-term numerical simulations. The standard semi-implicit scheme requires the solution of an elliptic equation which is also time-consuming. The fractional step method results in the least accurate, but computationally the most efficient solution. Keywords:Courant-Friedrichs-Levy stability condition; Explicit scheme; Fractional step method; Semi-implicit scheme; Shallow water equation.
Descriptors : *FINITE DIFFERENCE THEORY, *SHALLOW WATER, EFFICIENCY, ELLIPSES, FORMULATIONS, NUMERICAL ANALYSIS, SOLUTIONS(GENERAL), STABILITY, TEST BEDS, DIFFERENCE EQUATIONS, ANTISUBMARINE WARFARE
Subject Categories : Physical and Dynamic Oceanography
Undersea and Antisubmarine Warfare
Distribution Statement : APPROVED FOR PUBLIC RELEASE