Dimension reduction for incompressible pipe and open channel flow including friction

Ersoy, Mehmet

  • Application of Mathematics 2015, Publisher: Institute of Mathematics CAS(Prague), page 17-33

Abstract

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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.

How to cite

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Ersoy, Mehmet. "Dimension reduction for incompressible pipe and open channel flow including friction." Application of Mathematics 2015. Prague: Institute of Mathematics CAS, 2015. 17-33. <http://eudml.org/doc/287810>.

@inProceedings{Ersoy2015,
abstract = {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.},
author = {Ersoy, Mehmet},
booktitle = {Application of Mathematics 2015},
keywords = {free surface flow; incompressible Navier-Stokes; shallow water approximation; hydrostatic approximation; closed water pipe; open channel; friction},
location = {Prague},
pages = {17-33},
publisher = {Institute of Mathematics CAS},
title = {Dimension reduction for incompressible pipe and open channel flow including friction},
url = {http://eudml.org/doc/287810},
year = {2015},
}

TY - CLSWK
AU - Ersoy, Mehmet
TI - Dimension reduction for incompressible pipe and open channel flow including friction
T2 - Application of Mathematics 2015
PY - 2015
CY - Prague
PB - Institute of Mathematics CAS
SP - 17
EP - 33
AB - 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.
KW - free surface flow; incompressible Navier-Stokes; shallow water approximation; hydrostatic approximation; closed water pipe; open channel; friction
UR - http://eudml.org/doc/287810
ER -

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