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Article

Ersoy, Mehmet
Dimension reduction for incompressible pipe and open channel flow including friction. (English). In: Brandts, J., Korotov, S., Křížek, M., Segeth, K., Šístek, J. and Vejchodský, T. (eds.): Application of Mathematics 2015, In honor of the birthday anniversaries of Ivo Babuška (90), Milan Práger (85), and Emil Vitásek (85). Proceedings. Prague, November 18-21, 2015. Institute of Mathematics CAS, Prague, 2015. pp. 17-33
MSC: 35B25, 35Q35, 65M08, 65M75, 76B07, 76M12, 76M28, 76N10, 76N15 | Zbl 06669916
Keywords:
free surface flow; incompressible Navier-Stokes; shallow water approximation; hydrostatic approximation; closed water pipe; open channel; friction
Summary:
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.
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