|February 25, 2013, 12:22||
Navier-Stokes-Equations in curvilinear coordinates
Join Date: Feb 2013
Posts: 5Rep Power: 6
I am trying to set up a CFD code for the analysis of the boundary layer around a blunt body. I want to couple an external flow from potential theory with a finite difference grid representing the boundary layer. The idea was to use curvilinear coordinates as it might be the most accurate solution for my type of flow. I don't want to go into detail concerning turbulence model etc.
But in the boundary layer bible "Boundary Layer Theory" from Schlichting, Hermann (1979) you can find representations of the Navier-Stokes-equations already including the metrics of coordinate transformations. I have attached a picture of the equations in there.
Now here is my question: How can I derive these equations from the NSEs in cartesian coordinates. I tried to figure it out myself, but without any success. I was wondering if there are assumptions or simplifications that enable the attached version of the NSE. This could be crucial for my project! Does anybody have any idea what's the trick behind or where I can find a clarifying derivation? Schlichtings book has a reference on Tollmien, W.: Grenzsschichttheorie. Handbuch der Experimentalphysik, Vol. IV, Part 1, 241-287 (1931). I couldn't find this document.
Can anybody help me out?
Thanks in advance!
|boundary layer, curvilinear coordinate, navier stokes equations|
|Thread||Thread Starter||Forum||Replies||Last Post|
|how to solver perturbation equations of navier stokes equations ?||mechy||OpenFOAM Programming & Development||1||June 8, 2014 17:04|
|Implicit method for Navier Stokes equations||Vasiliy||Main CFD Forum||9||December 3, 2012 14:07|
|Navier stokes Equations in Unstructured Grid||Mh.R||Main CFD Forum||4||October 19, 2011 15:37|
|LBM Vs navier stokes equations in turbulent fluid flow modeling.||sharad_shevate||Main CFD Forum||0||August 3, 2009 01:25|
|Presure range of the Navier Stokes Equations||Dr. Tsimento||Main CFD Forum||7||May 23, 2001 10:12|