Accession Number:

ADA009742

Title:

Minimizing Errors in Flux-Corrected Transport Algorithms.

Descriptive Note:

Interim rept.,

Corporate Author:

NAVAL RESEARCH LAB WASHINGTON D C

Personal Author(s):

Report Date:

1975-04-01

Pagination or Media Count:

59.0

Abstract:

This paper presents an error analysis of numerical algorithms for solving the convective continuity equation using Flux-Corrected Transport techniques FCT. The goal of the paper is threefold First, the nature of numerical errors in Eulerian finite-difference solutions to the continuity equation is analyzed. Second, the properties and intrinsic errors of an optimal algorithm are discussed and such an FCT algorithm is demonstrated for a restricted class of problems. This optimal FCT algorithm is applied to a model test problem and the error is monitored for comparison with more generally applicable algorithms. Third, several improved FCT algorithms are developed and judged against both standard flux-uncorrected transport algorithms and the optimal algorithm. These improved FCT algorithms are found to be four to eight times more accurate than standard non-FCT algorithms, nearly twice as accurate as the original SHASTA FCT algorithm, and approach the accuracy of the optimal algorithm.

Subject Categories:

  • Theoretical Mathematics
  • Fluid Mechanics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE