NuTBox

In the Musker-Monkewitz wall function the following assumption is made on the turbulent viscosity profile:



where is the von Karman constant and is a constant that specifies the for which but, in practical terms has the same role of in the standard wall function of the previous post....

We make the following assumption for the turbulent viscosity ratio:



where is the von Karman constant and is, for the moment, an unspecified positive parameter. One can then show that the following results:

...

The first step in the wall function approach delineated in the first post of this series requires determining from



with analogous steps also required for the temperature and scalars. If one has a mean to univocally/externally...

This is the last series of posts on wall functions, where I summarize previous findings and give them a broader context. I won't provide derivations (hopefully I'll have time to put this in a larger note), but just few statements with the proper scripts to test them.

This all started with the aim to solve the following problem:



with boundary conditions...

This is a pretty specific issue which relates to my experience working on wall functions and the Spalart-Allmaras model, but might be useful to others or, more importantly, the users of their code.

If you followed my previous posts here, you know I developed a wall function formulation based on the Musker wall function which, thanks to a math trick, is integrable also for arbitrary Pr/Pr_t (Sc/Sc_t) numbers and also for some forms of non equilibrium terms.

One of the...