AdvancedTopic 82 of 105Thermodynamics & Fluids
Turbulence modelling
k-epsilon and LES approximate unresolved turbulent fluctuations.
In depth
Turbulent eddies span many scales. Reynolds-averaged (RANS) models (k-ε, k-ω SST) solve mean flow with modelled eddy viscosity; LES resolves large eddies and models small ones; DNS resolves all scales at huge cost. Selection trades accuracy and computational effort.
Key points
- Reynolds stresses
- Wall functions
- y+ mesh requirements
ExampleRANS is the industrial standard for aerodynamics and HVAC.
What is Turbulence modelling?
k-epsilon and LES approximate unresolved turbulent fluctuations.
Why is it important to understand turbulence modelling?
Turbulence models approximate the effect of small eddies in simulations, so they make it possible to predict turbulent flows on computers.
What does the k-epsilon model do?
It solves transport equations for turbulent kinetic energy and its dissipation rate, which gives the eddy viscosity for the mean flow.
Why are models needed at all?
Resolving all turbulent scales requires enormous computing power, so models represent the unresolved part.
How is Turbulence modelling used in practice?
Typical applications include choosing a turbulence model for an external aerodynamic simulation, predicting the mixing in a combustion chamber with a turbulence model and estimating the wall heat transfer in a pipe with a Reynolds-averaged model.
What should I learn before Turbulence modelling?
Study "Potential flow" first (topic 81 of 105 in Thermodynamics & Fluids). It covers the groundwork this topic builds on.
What are the key points of Turbulence modelling?
Reynolds stresses. Wall functions. y+ mesh requirements.
Can you give an example of Turbulence modelling?
RANS is the industrial standard for aerodynamics and HVAC.
What comes after Turbulence modelling?
The next topic is "Computational fluid dynamics", which builds directly on this one.
How difficult is Turbulence modelling?
It is classed as Advanced in Thermodynamics & Fluids (topic 82 of 105). It is an advanced topic. It assumes you are comfortable with the intermediate topics in Thermodynamics & Fluids.