We present the full derivation of a one-dimensional free surface pipe or open channel flow model including friction with non constant geometry. The free surface model is obtained from the three-dimensional incompressible Navier-Stokes equations under shallow water assumptions with prescribed "well-suited" boundary conditions.
@article{702962,
title = {Dimension reduction for incompressible pipe and open channel flow including friction},
booktitle = {Application of Mathematics 2015},
series = {GDML\_Books},
publisher = {Institute of Mathematics CAS},
address = {Prague},
year = {2015},
pages = {17-33},
zbl = {06669916},
url = {http://dml.mathdoc.fr/item/702962}
}
Ersoy, Mehmet. Dimension reduction for incompressible pipe and open channel flow including friction, dans Application of Mathematics 2015, GDML_Books, (2015), pp. 17-33. http://gdmltest.u-ga.fr/item/702962/