The numerical simulation of turbulent flows at high, technically relevant Reynolds numbers still requires the solution of the RANS (Reynolds Averaged Navier-Stokes) equations, where nowadays the influence of turbulence is modeled by deliberately formulated additional equations. Until the 1990s, turbulence modeling for high Reynolds number aerodynamic flows was achieved with zero-equation algebraic models. However, due to their well-recognized deficiencies in predicting more complex flow fields, today these models are not in use anymore. In the present contribution, zero-equation algebraic turbulence modeling is re-evaluated with the objective to mitigate some of these deficiencies. Based on Prandtl’s 100 years old Mixing Length hypothesis, a zero-equation algebraic model is developed which for airfoil and wing flows achieves predictive qualities comparable to current one- or two-equation turbulence models.

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100 Years of Prandtl’s Mixing Length: Falling Short for Aerodynamic Analysis?

  • Cord Rossow

摘要

The numerical simulation of turbulent flows at high, technically relevant Reynolds numbers still requires the solution of the RANS (Reynolds Averaged Navier-Stokes) equations, where nowadays the influence of turbulence is modeled by deliberately formulated additional equations. Until the 1990s, turbulence modeling for high Reynolds number aerodynamic flows was achieved with zero-equation algebraic models. However, due to their well-recognized deficiencies in predicting more complex flow fields, today these models are not in use anymore. In the present contribution, zero-equation algebraic turbulence modeling is re-evaluated with the objective to mitigate some of these deficiencies. Based on Prandtl’s 100 years old Mixing Length hypothesis, a zero-equation algebraic model is developed which for airfoil and wing flows achieves predictive qualities comparable to current one- or two-equation turbulence models.