A navier-stokes algorithm for turbulent flows using an unstructured grid and flux difference splitting

Frédéric Jacon, Doyle Knight

Research output: Contribution to conferencePaper

17 Citations (Scopus)

Abstract

An algorithm has been developed for the twodimensional Reynolds-Averaged Navier-Stokes equations. The effects of turbulence are modelled by the standard k — ε model of Launder and Spalding. The equations are solved using an unstructured grid of triangles with the flow variables stored at the centroids of the cells. The treatment of the inviscid fluxes is performed with Roe’s flux difference split method. Turbulent and viscous stresses and heat transfer are obtained from a discrete representation of Gauss’s theorem. For the inviscid fluxes, linear reconstruction of the flow variables to the cell faces provides second-order spatial accuracy. Interpolation of the flow variables to the nodes is achieved using a second-order accurate method. A four stage modified Runge-Kutta scheme is employed for the temporal integration providing second-order accuracy in time. The algorithm is applied to an incompressible turbulent far wake, a supersonic turbulent mixing layer and boundary layers over flat plates at Mach numbers of 0.1 and 2.0 using laws of the wall as boundary conditions. Results are in excellent agreement with previous computations.

Original languageEnglish (US)
StatePublished - Jan 1 1994
EventAIAA Fluid Dynamics Conference, 1994 - Colorado Springs, United States
Duration: Jun 20 1994Jun 23 1994

Other

OtherAIAA Fluid Dynamics Conference, 1994
CountryUnited States
CityColorado Springs
Period6/20/946/23/94

Fingerprint

Turbulent flow
Fluxes
Navier Stokes equations
Mach number
Interpolation
Boundary layers
Turbulence
Boundary conditions
Heat transfer

All Science Journal Classification (ASJC) codes

  • Aerospace Engineering
  • Engineering (miscellaneous)

Cite this

Jacon, F., & Knight, D. (1994). A navier-stokes algorithm for turbulent flows using an unstructured grid and flux difference splitting. Paper presented at AIAA Fluid Dynamics Conference, 1994, Colorado Springs, United States.
Jacon, Frédéric ; Knight, Doyle. / A navier-stokes algorithm for turbulent flows using an unstructured grid and flux difference splitting. Paper presented at AIAA Fluid Dynamics Conference, 1994, Colorado Springs, United States.
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Jacon, F & Knight, D 1994, 'A navier-stokes algorithm for turbulent flows using an unstructured grid and flux difference splitting', Paper presented at AIAA Fluid Dynamics Conference, 1994, Colorado Springs, United States, 6/20/94 - 6/23/94.

A navier-stokes algorithm for turbulent flows using an unstructured grid and flux difference splitting. / Jacon, Frédéric; Knight, Doyle.

1994. Paper presented at AIAA Fluid Dynamics Conference, 1994, Colorado Springs, United States.

Research output: Contribution to conferencePaper

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AU - Jacon, Frédéric

AU - Knight, Doyle

PY - 1994/1/1

Y1 - 1994/1/1

N2 - An algorithm has been developed for the twodimensional Reynolds-Averaged Navier-Stokes equations. The effects of turbulence are modelled by the standard k — ε model of Launder and Spalding. The equations are solved using an unstructured grid of triangles with the flow variables stored at the centroids of the cells. The treatment of the inviscid fluxes is performed with Roe’s flux difference split method. Turbulent and viscous stresses and heat transfer are obtained from a discrete representation of Gauss’s theorem. For the inviscid fluxes, linear reconstruction of the flow variables to the cell faces provides second-order spatial accuracy. Interpolation of the flow variables to the nodes is achieved using a second-order accurate method. A four stage modified Runge-Kutta scheme is employed for the temporal integration providing second-order accuracy in time. The algorithm is applied to an incompressible turbulent far wake, a supersonic turbulent mixing layer and boundary layers over flat plates at Mach numbers of 0.1 and 2.0 using laws of the wall as boundary conditions. Results are in excellent agreement with previous computations.

AB - An algorithm has been developed for the twodimensional Reynolds-Averaged Navier-Stokes equations. The effects of turbulence are modelled by the standard k — ε model of Launder and Spalding. The equations are solved using an unstructured grid of triangles with the flow variables stored at the centroids of the cells. The treatment of the inviscid fluxes is performed with Roe’s flux difference split method. Turbulent and viscous stresses and heat transfer are obtained from a discrete representation of Gauss’s theorem. For the inviscid fluxes, linear reconstruction of the flow variables to the cell faces provides second-order spatial accuracy. Interpolation of the flow variables to the nodes is achieved using a second-order accurate method. A four stage modified Runge-Kutta scheme is employed for the temporal integration providing second-order accuracy in time. The algorithm is applied to an incompressible turbulent far wake, a supersonic turbulent mixing layer and boundary layers over flat plates at Mach numbers of 0.1 and 2.0 using laws of the wall as boundary conditions. Results are in excellent agreement with previous computations.

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Jacon F, Knight D. A navier-stokes algorithm for turbulent flows using an unstructured grid and flux difference splitting. 1994. Paper presented at AIAA Fluid Dynamics Conference, 1994, Colorado Springs, United States.