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dc.contributor.authorBergant, A.en
dc.contributor.authorSimpson, A.en
dc.identifier.citationJournal of Hydraulic Engineering, 1991; 117(11):1572-1574en
dc.description.abstractThe standard solution of a quadratic equation is applied for modeling several boundary conditions (such as orifice, valve, and pump) in the water-hammer analysis of pipelines by the method of characteristics. Numerical instabilities may result in the computer solution of the quadratic equation using the standard solution. An alternative algorithm that overcomes the problem of an unstable solution is presented in the paper. Both algorithms are compared for modeling of an in-line orifice with different head-loss coefficients for flow in opposite directions. A numerical example for the case of rapid closure of the upstream valve in a simple two-reservoir pipeline system with the in-line orifice clearly shows numerical instabilities when the standard quadratic solution for the orifice is applied. The instabilities are eliminated by using an alternative proposed solution of the quadratic equation.en
dc.description.statementofresponsibilityAnton Bergant and Angus Simpsonen
dc.publisherAmerican Society of Civil Engineersen
dc.rightsCopyright © 1991 ASCEen
dc.titleQuadratic-equation inaccuracy for water hammeren
dc.typeJournal articleen
pubs.library.collectionCivil and Environmental Engineering publicationsen
dc.identifier.orcidSimpson, A. [0000-0003-1633-0111]en
Appears in Collections:Civil and Environmental Engineering publications

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