Computational Fluid Dynamics Multiple Choice Questions on “Turbulence Modelling – Shear Stress Transport Model”.
1. The Shear Stress Transport model is a hybrid of _________
a) the standard k-ε model and the k-ω model
b) the standard k-ε model and the RNG k-ε model
c) the realizable k-ε model and the RNG k-ε model
d) the realizable k-ε model and the k-ω model
Answer: a
Clarification: For boundary layers with adverse pressure gradients, the standard k-ε model does not perform well. To overcome this problem, the other models were devised. But, those are sensitive to the arbitrary constants used. So, the Shear Stress Transport model combines the standard k-ε model and the k-ω model to get the advantages of both.
2. Which of these is unmodified for the Shear Stress Transport model and the k-ω model?
a) Reynolds stress calculation and the k-equation
b) Reynolds stress calculation and the ε-equation
c) The k-equation and the ε-equation
d) Reynolds stress calculation, the k-equation and the ε-equation
Answer: a
Clarification: For a Shear Stress Transport model, the k-equation and the calculation of the Reynolds stresses are the same as used in the standard k-ω model. The equation for the transport of ε is transformed into the ω-equation by using the relationship ε=kω.
3. Which of these statements holds true regarding the Shear Stress Transport model?
a) In the near-wall region, the k-ε model is transformed into k-ω model
b) In the near-wall region, the standard k-ε model is used
c) In regions far from the wall, the k-ε model is transformed into k-ω model
d) In regions far from the wall, the k-ω model is used
Answer: a
Clarification: The Shear Stress Transport model uses a transformation of the k-ε model into a k-ω model in the near-wall region. In the region far from the wall, it uses the standard k-ε model as it gives satisfactory results there.
4. When compared to the standard ε-equation, the transformed ω-equation has _________
a) the same number of terms
b) an extra dissipation term
c) two extra source terms
d) an extra source term
Answer: d
Clarification: While transforming the ε-equation into the ω-equation, an extra source term arises. It is called the cross-diffusion term. This cross diffusion term is modified using external blending functions.
5. The σk value used in the Shear Stress Transport model is ________
a) -1
b) 1
c) 2
d) -2
Answer: b
Clarification: The constants used in the Shear Stress Transport model are revised to optimize the performance. The σk value used for the k-equation is 1. The σω1 value used for the ω-equation of the near-wall region is 2. The σω2 value used for the ω-equation of the far region is 1.17.
6. Which of these problems may occur because of the hybrid nature of the Shear Stress Transport model?
a) Non-linearity
b) Inconsistency
c) Numerical instability
d) Inaccuracy
Answer: c
Clarification: As the modelling equations vary from the converted k-ω model in the near-wall region to the standard k-ω model in the far away region, numerical instabilities may arise in the computed eddy viscosities.
7. The blending function used in the Shear Stress Transport model is a function of _____________
a) Turbulent kinematic viscosity, the ratio of turbulence and distance from the wall
b) Turbulence Reynolds number, turbulent kinematic viscosity and distance from the wall
c) Turbulence Reynolds number, the ratio of turbulence and turbulent kinematic viscosity
d) Turbulence Reynolds number, the ratio of turbulence and distance from the wall