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
      Theoretical Mathematics
      Undersea and Antisubmarine Warfare

Distribution Statement : APPROVED FOR PUBLIC RELEASE