A semi-analytical extension of the Reichardt wall law to pressure gradient effects
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 1D problem (which is not true).
While this might certainly be material for a paper (every work i am aware of uses numerical integration to solve the 1D problem; this, in particular, requires solving a tridiagonal system for every near wall cell), i honestly don't have time for this (life is too short to be spent in review).
Hence, here it is the work: a description in the pdf file and a matlab/octave comparison script in the txt file. If you ever worked on wall function you should fastly get to the point.
Otherwise, i'm open to discussion.
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 1D problem (which is not true).
While this might certainly be material for a paper (every work i am aware of uses numerical integration to solve the 1D problem; this, in particular, requires solving a tridiagonal system for every near wall cell), i honestly don't have time for this (life is too short to be spent in review).
Hence, here it is the work: a description in the pdf file and a matlab/octave comparison script in the txt file. If you ever worked on wall function you should fastly get to the point.
Otherwise, i'm open to discussion.
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