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

Frédéric Jacon, Doyle Knight

Research output: Contribution to conferencePaperpeer-review

19 Scopus citations


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 - 1994
EventAIAA Fluid Dynamics Conference, 1994 - Colorado Springs, United States
Duration: Jun 20 1994Jun 23 1994


OtherAIAA Fluid Dynamics Conference, 1994
Country/TerritoryUnited States
CityColorado Springs

All Science Journal Classification (ASJC) codes

  • Aerospace Engineering
  • Engineering (miscellaneous)


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