### 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 language | English (US) |
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State | Published - Jan 1 1994 |

Event | AIAA Fluid Dynamics Conference, 1994 - Colorado Springs, United States Duration: Jun 20 1994 → Jun 23 1994 |

### Other

Other | AIAA Fluid Dynamics Conference, 1994 |
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Country | United States |

City | Colorado Springs |

Period | 6/20/94 → 6/23/94 |

### Fingerprint

### All Science Journal Classification (ASJC) codes

- Aerospace Engineering
- Engineering (miscellaneous)

### Cite this

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

Research output: Contribution to conference › Paper

TY - CONF

T1 - A navier-stokes algorithm for turbulent flows using an unstructured grid and flux difference splitting

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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M3 - Paper

AN - SCOPUS:84997646598

ER -