TECHNICAL NOTES
Mar 1, 1993

Steady‐State Fluid Network Analysis

Publication: Journal of Hydraulic Engineering
Volume 119, Issue 3

Abstract

The node method for steady state hydraulic network analysis has been studied by several researchers with different ways of handling the non‐linearities that are present in the head‐loss equations but convergence problems were continuously observed. The hybrid element formulation presented in this paper is a definite way of overcoming this problem. It should be incorporated in the governing equations when an element with very low resistance is present on the network. This formulation assures that the nodal heads and the element flows are calculated to the desired degree of accuracy.

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References

1.
Collins, A. G., and Johnson, R. L. (1975). “Finite element method for water‐distribution networks.” J. Am. Water Works Assoc., 67(7), 385–389.
2.
Collins, M. A., and Kennington, J. L. (1977). Discussion of “Extended period simulation of water systems—part b,” by H. S. Rao, L. C. Markel, and D. W. Bruce Jr. J. Hydr. Div., ASCE, 103(12), 1496–1500.
3.
Martin, D. W., and Peters, G. (1963). “The application of Newton's method to network analysis by digital computer.” J. Inst. of Water Engrg., 17(2), 115–129.
4.
Nielsen, H. B. (1989). “Methods for analyzing pipe networks.” J. Hydr. Div., ASCE, 115(2), 139–157.
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Wood, D. J., and Rayes, A. G. (1981). “Reliability of algorithms for pipe network analysis.” J. Hydr. Div., ASCE, 107(7), 1145–1161.

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Go to Journal of Hydraulic Engineering
Journal of Hydraulic Engineering
Volume 119Issue 3March 1993
Pages: 431 - 436

History

Received: Sep 25, 1992
Published online: Mar 1, 1993
Published in print: Mar 1993

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Authors

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André Campos Nogueira
PhD candidate, Dept. of Civ. Engrg., Univ. of Texas at Austin, Austin, TX 78712‐1076

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