๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Singular integral equations in potential flows of open-channel transitions

โœ Scribed by E.G. Ladopoulos

Book ID
104015088
Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
388 KB
Volume
39
Category
Article
ISSN
0045-7930

No coin nor oath required. For personal study only.

โœฆ Synopsis

The free-surface profile of potential flows is calculated in open-channel transitions by using singular integral equation methods. Thus in such free-surface hydraulics applications the analysis of fluid motion is very complicated, as both the subcritical and supercritical flows are presented simultaneously. For the numerical solution of the singular integral equations are used both constant and linear elements.

An application is finally given to the determination of the free-surface profile in an open-channel contraction and comparing the numerical results with corresponding results by finite differences.

๐Ÿ“œ SIMILAR VOLUMES

Non-singular direct formulation of bound
Non-singular direct formulation of boundary integral equations for potential flows
โœ W. S. Hwang; Y. Y. Huang ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 85 KB ๐Ÿ‘ 2 views

This paper presents a general direct integral formulation for potential flows. The singularities of Green's functions are desingularized theoretically, using a subtracting and adding back technique, so that Gaussian quadrature or any other numerical integration methods can be applied directly to eva