A formula for estimation of truncation errors of convection terms in a curvilinear coordinate system

D. Lee, Y. M. Tsuei

Research output: Contribution to journalArticlepeer-review

26 Citations (Scopus)

Abstract

A formula for truncation errors of convection terms arising from the Navier-Stokes equation in a curvilinear coordinate system is derived. These truncation error terms are interpreted in terms of grid size, grid uniformity, grid line angle, flow angle, and derivatives of flow properties to gain physical insights from the formula. The role of these factors in determining truncation errors is discussed. It is shown that an optimal grid arrangement cannot be obtained without considering the interactions between the grid and the flow field. The effect of the grid orthogonality on truncation errors is also analyzed for simple cases. The derived formula provides a useful indicator for truncation error distribution which yields guidelines for grid adaption.

Original languageEnglish
Pages (from-to)90-100
Number of pages11
JournalJournal of Computational Physics
Volume98
Issue number1
DOIs
Publication statusPublished - 1992 Jan

All Science Journal Classification (ASJC) codes

  • Numerical Analysis
  • Modelling and Simulation
  • Physics and Astronomy (miscellaneous)
  • Physics and Astronomy(all)
  • Computer Science Applications
  • Computational Mathematics
  • Applied Mathematics

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