Implicit unfactored implementation of two-equation turbulence models in compressible Navier-Stokes methods

G. Barakos, D. Drikakis

Research output: Contribution to journalArticle

26 Citations (Scopus)

Abstract

An implicit unfactored method for the coupled solution of the compressible Navier–Stokes equations with two-equation turbulence models is presented. Both fluid-flow and turbulence transport equations are discretized by a characteristics-based scheme. The implicit unfactored method combines Newton subiterations and point-by-point Gauss–Seidel subrelaxation. Implicit-coupled and -decoupled strategies are compared for their efficiency in the solution of the Navier–Stokes equations in conjunction with low-Re two-equation turbulence models. Computations have been carried out for the flow over an axisymmetric bump using the k–ϵ and k–ω models. Comparisons have been obtained with experimental data and other numerical solutions. The present study reveals that the implicit unfactored implementation of the two-equation turbulence models reduces the computing time and improves the robustness of the CFD code in turbulent compressible flows.
Original languageEnglish
Pages (from-to)73-94
Number of pages22
JournalInternational Journal for Numerical Methods in Fluids
Volume28
Issue number1
DOIs
Publication statusPublished - 15 Jul 1998

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Turbulence Model
Turbulence models
Navier-Stokes
Implicit Method
Gauss-Seidel
Compressible Navier-Stokes Equations
Compressible flow
Compressible Flow
Transport Equation
Turbulent Flow
Fluid Flow
Flow of fluids
Turbulence
Navier-Stokes Equations
Computational fluid dynamics
Numerical Solution
Experimental Data
Robustness
Computing
Model

Keywords

  • compressible turbulent flows
  • implicit solver
  • characteristics-based method
  • low-Re two-equation turbulence models

Cite this

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Implicit unfactored implementation of two-equation turbulence models in compressible Navier-Stokes methods. / Barakos, G.; Drikakis, D.

In: International Journal for Numerical Methods in Fluids , Vol. 28, No. 1, 15.07.1998, p. 73-94.

Research output: Contribution to journalArticle

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T1 - Implicit unfactored implementation of two-equation turbulence models in compressible Navier-Stokes methods

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AU - Drikakis, D.

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N2 - An implicit unfactored method for the coupled solution of the compressible Navier–Stokes equations with two-equation turbulence models is presented. Both fluid-flow and turbulence transport equations are discretized by a characteristics-based scheme. The implicit unfactored method combines Newton subiterations and point-by-point Gauss–Seidel subrelaxation. Implicit-coupled and -decoupled strategies are compared for their efficiency in the solution of the Navier–Stokes equations in conjunction with low-Re two-equation turbulence models. Computations have been carried out for the flow over an axisymmetric bump using the k–ϵ and k–ω models. Comparisons have been obtained with experimental data and other numerical solutions. The present study reveals that the implicit unfactored implementation of the two-equation turbulence models reduces the computing time and improves the robustness of the CFD code in turbulent compressible flows.

AB - An implicit unfactored method for the coupled solution of the compressible Navier–Stokes equations with two-equation turbulence models is presented. Both fluid-flow and turbulence transport equations are discretized by a characteristics-based scheme. The implicit unfactored method combines Newton subiterations and point-by-point Gauss–Seidel subrelaxation. Implicit-coupled and -decoupled strategies are compared for their efficiency in the solution of the Navier–Stokes equations in conjunction with low-Re two-equation turbulence models. Computations have been carried out for the flow over an axisymmetric bump using the k–ϵ and k–ω models. Comparisons have been obtained with experimental data and other numerical solutions. The present study reveals that the implicit unfactored implementation of the two-equation turbulence models reduces the computing time and improves the robustness of the CFD code in turbulent compressible flows.

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