Efficient higher‐order backward characteristics schemes for transient advection

T. S. Yu, Chi Wai Li

Research output: Journal article publicationJournal articleAcademic researchpeer-review

11 Citations (Scopus)


The use of the highest‐order ((N – 1)th‐order) Lagrangian interpolation Polynomial for the approximation of the exact solution in the backward characteristics scheme with N nodes is inefficient owing to the excessive number of terms in the polynomial. New schemes based on a combination of lower‐order polynomials to approximate the exact solution are developed, with the relative weighting of the polynomials determined by Fourier mode analysis. With the addition of a flux limiter and a modified discriminator, the resulting schemes are oscillation‐free, highly accurate, efficient and more cost‐effective as compared with those schemes using the highest‐order Lagrangian polynomial.
Original languageEnglish
Pages (from-to)997-1012
Number of pages16
JournalInternational Journal for Numerical Methods in Fluids
Issue number11
Publication statusPublished - 1 Jan 1994


  • Advection
  • Finite difference
  • Flux limiter
  • Method of characteristics

ASJC Scopus subject areas

  • Computational Mechanics
  • Mechanics of Materials
  • Mechanical Engineering
  • Computer Science Applications
  • Applied Mathematics


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