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## Closing on wall functions - part 4: a Musker-Monkewitz wall function

Posted April 23, 2022 at 17:53 by sbaffini (NuTBox)
Updated April 26, 2022 at 16:49 by sbaffini

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....
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## Closing on wall functions - part 3: a standard wall function

Posted April 23, 2022 at 05:41 by sbaffini (NuTBox)
Updated May 15, 2022 at 03:20 by sbaffini

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:

...
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## Closing on wall functions - part 2: the iterative procedure

Posted April 23, 2022 at 05:39 by sbaffini (NuTBox)
Updated May 14, 2022 at 16:30 by sbaffini

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...
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## Closing on wall functions - part 1: Problem statement and general solution

Posted April 23, 2022 at 05:36 by sbaffini (NuTBox)
Updated May 14, 2022 at 16:55 by sbaffini

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...
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## A note for CFD developers and the Spalart-Allmaras model

Posted June 12, 2021 at 13:06 by sbaffini (NuTBox)
Updated June 3, 2022 at 06:44 by sbaffini

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...
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 sa_mu_t.c (2.1 KB, 398 views)
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