An Improved Limiter for Multidimensional Flux-Corrected Transport,

Abstract

An improved prescription is given for limiting ('correcting') the high-order fluxes in multidimensional, flux-corrected transport (FCT) algorithms. These fluxes are designed to reduce the numerical error in positive-definite, monotone solutions to the hydrodynamics equations. The role of the limiter is to ensure that the desirable positivity and monotonicity properties of the low-order solutions are not lost in the quest to minimize the numerical error. It is shown that Zalesak's (1979) formulation of a limiter for multidimensional FCT preserves positivity but not monotonicity. The introduction of a prelimiting step into his prescription, based on the original positive and monotone limiter of Boris and Book (1973), is proposed and is shown to improve significantly the performance of multidimensional ECT algorithms.

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Document Details

Document Type
Technical Report
Publication Date
Dec 31, 1998
Accession Number
ADA360122

Entities

People

  • C. R. Devore

Organizations

  • United States Naval Research Laboratory

Tags

Communities of Interest

  • Air Platforms
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Algorithms
  • Amplitude
  • Aspect Ratio
  • Boundaries
  • Convection
  • Discontinuities
  • Equations
  • Euler Equations
  • Fluid Dynamics
  • Hydrodynamics
  • Military Research
  • Physics
  • Space Sciences
  • Three Dimensional
  • Transport Ships
  • Two Dimensional
  • Waves

Readers

  • Approximation Theory.
  • Computational Fluid Dynamics (CFD)
  • Operations Research