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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.
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 -