NuTBox

In this post i summarize the initial problem and the procedure to determine the wall function value (i.e., the solution) for given ,, and .

We looked for a solution to the problem:



with:

...

In the first part of this post we left with the problem of computing the following integral:



with:



I added all the explicit functional dependencies here because we know ...

In a previous post i wrote about an extension of the Reichardt law of the wall to pressure gradient effects. That was derived by assuming the Reichardt profile as a solution for the case without pressure gradient and using integration by parts. In particular, given the the Reichardt function ( is the Von Karman constant):



with:
...

I recently worked on wall functions, especially those based on simplified 1D numerical integration (e.g., http://link.springer.com/chapter/10....-642-14243-7_7) and i found a relatively simple, analytical, formulation that takes into account pressure gradient effects.

In practice, this is an extension of the Reichardt wall law to pressure gradient effects.

It is semi-analytical because it takes as assumption that the base Reichardt law is an exact solution of the...

I recently defended my thesis on Large Eddy Simulation, which is now available at:

http://hdl.handle.net/10589/89603

I won't spend too much words on promoting it, you can read the abstract for this. I just want to say it possibly provides a fresh view on the matter of implicit/explicit filtering, commutation errors and other evergreen topics in LES. As i put a specific effort on this, i also hope that it might work as a not too heavy introduction on LES in general. Finally,...