Non-conservative and conservative formulations of characteristics-based numerical reconstructions for incompressible flows

E. Shapiro, D. Drikakis

Research output: Contribution to journalArticle

14 Citations (Scopus)

Abstract

An investigation of characteristics-based (CB) schemes for solving the incompressible Navier–Stokes equations in conjunction with the artificial-compressibility approach, is presented. Both non-conservative and conservative CB numerical reconstructions are derived and their accuracy and convergence properties are assessed analytically and numerically. We demonstrate by means of eigenvalue analysis that there are differences in the spectral characteristics of these formulations that result in different convergence properties. Numerical tests for two- and three-dimensional flows reveal that the two formulations provide similar accuracy but the non-conservative formulation converges faster.
LanguageEnglish
Pages1466-1482
Number of pages17
JournalInternational Journal for Numerical Methods in Engineering
Volume66
Issue number9
DOIs
Publication statusPublished - 28 May 2006

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Incompressible flow
Incompressible Flow
Compressibility
Navier Stokes equations
Convergence Properties
Formulation
Artificial Compressibility
Eigenvalue Analysis
Three-dimensional Flow
Incompressible Navier-Stokes Equations
Converge
Demonstrate

Keywords

  • incompressible flows
  • characteristics-based scheme
  • Riemann solvers
  • high-resolution methods
  • eigenvalue analysis

Cite this

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Non-conservative and conservative formulations of characteristics-based numerical reconstructions for incompressible flows. / Shapiro, E.; Drikakis, D.

In: International Journal for Numerical Methods in Engineering , Vol. 66, No. 9, 28.05.2006, p. 1466-1482.

Research output: Contribution to journalArticle

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