Minimizing Errors in Flux-Corrected Transport Algorithms.

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.

Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1975
Accession Number
ADA009742

Entities

People

  • D. L. Book
  • Jay Paul Boris

Organizations

  • United States Naval Research Laboratory

Tags

DTIC Thesaurus Topics

  • Accuracy
  • Algorithms
  • Continuity
  • Equations
  • Error Analysis
  • Errors
  • Mathematics
  • Model Tests
  • Standards
  • Transport Ships

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)