Abstract

The work aims at investigation of the possibilities of modelling transonic flows mainly in external aerodynamics. New results are presented and compared with reference data and previously achieved results. For the turbulent flow simulations two modifications of the basic k − ω model are employed: SST and TNT. The numerical solution was achieved by using the MacCormack scheme on structured non-ortogonal grids. Artificial dissipation was added to improve the numerical stability.

Highlights

  • The work aims at investigation of the possibilities of modelling transonic flows mainly in external aerodynamics

  • For the modelling of a turbulent flow, the system of RANS (Reynolds Averaged Navier-Stokes) equations enclosed by a turbulence model is used

  • Two different turbulence models with the turbulent viscosity were tested, one algebraic, Baldwin-Lomax and the two-equation k − ω model according to Wilcox

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Summary

Navier-Stokes equations

For the modelling of a turbulent flow, the system of RANS (Reynolds Averaged Navier-Stokes) equations enclosed by a turbulence model is used. Two different turbulence models with the turbulent viscosity were tested, one algebraic, Baldwin-Lomax and the two-equation k − ω model according to Wilcox. The system of averaged Navier-Stokes equations is formally the same as (1), but this time the flow parameters represent only mean values in the Favre sense, see [3]. The shear stresses are given for the turbulent flows by equations τxx (η ηt)(2ux. + 2vy), where ηt denotes the turbulent dynamic viscosity according to the Boussinesq hypothesis. All the computations were carried out using dimensionless variables with reference variables given by inflow values. The reference length L is given by the width of the computational domain

T NT model
Numerical methods
Results
Conclusion

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