Characteristic-based method for incompressible flows

D. Drikakis, P.A. Govatsos, D.E. Papantonis

Research output: Contribution to journalArticle

93 Citations (Scopus)

Abstract

A new characteristic-based method for the solution of the 2D laminar incompressible Navier-Stokes equations is presented. For coupling the continuity and momentum equations, the artificial compressibility formulation is employed. The primitives variables (pressure and velocity components) are defined as functions of their values on the characteristics. The primitives variables on the characteristics are calculated by an upwind differencing scheme based on the sign of the local eigenvalue of the Jacobian matrix of the convective fluxes. The upwind scheme uses interpolation formulae of third-order accuracy. The time discretization is obtained by the explicit Runge-Kutta method. Validation of the characteristic-based method is performed on two different cases: the flow in a simple cascade and the flow over a backward-facing step.
Original languageEnglish
Pages (from-to)667-685
Number of pages19
JournalInternational Journal for Numerical Methods in Fluids
Volume19
Issue number8
DOIs
Publication statusPublished - 30 Oct 1994

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Jacobian matrices
Runge Kutta methods
Incompressible flow
Incompressible Flow
Compressibility
Navier Stokes equations
Interpolation
Momentum
Fluxes
Artificial Compressibility
Backward-facing Step
Upwind Scheme
Jacobian matrix
Explicit Methods
Incompressible Navier-Stokes Equations
Time Discretization
Runge-Kutta Methods
Cascade
Interpolate
Eigenvalue

Keywords

  • fluid mechanics
  • compressibility of liquids
  • Eigenvalues and Eigenfunctions
  • equations of motion
  • interpolation
  • laminar flow
  • numerical methods
  • incompressible flows
  • Jacobian matrices
  • Runge-Kutta method
  • time discretization
  • upwind differencing scheme
  • flow of fluids
  • Navier-Stokes equations
  • Riemann solver
  • artificial compressibility

Cite this

Drikakis, D. ; Govatsos, P.A. ; Papantonis, D.E. / Characteristic-based method for incompressible flows. In: International Journal for Numerical Methods in Fluids . 1994 ; Vol. 19, No. 8. pp. 667-685.
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Characteristic-based method for incompressible flows. / Drikakis, D.; Govatsos, P.A.; Papantonis, D.E.

In: International Journal for Numerical Methods in Fluids , Vol. 19, No. 8, 30.10.1994, p. 667-685.

Research output: Contribution to journalArticle

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