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):

Report Date:

1987-10-01

Pagination or Media Count:

24.0

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. KeywordsCourant-Friedrichs-Levy stability condition Explicit scheme Fractional step method Semi-implicit scheme Shallow water equation.

Subject Categories:

  • Physical and Dynamic Oceanography
  • Theoretical Mathematics
  • Undersea and Antisubmarine Warfare

Distribution Statement:

APPROVED FOR PUBLIC RELEASE