Interpolation schemes for valve closure modelling

ABSTRACT In transient flow condition the pressure variation will depend, among other factors, on the valve closure law, whose insertion into the water hammer's software code is an impractical task since there are so many closing laws as valve types, forcing to modify the program whenever a spec...

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Autor principal:	Twyman Q.,John
Lenguaje:	English
Publicado:	Universidad de Tarapacá. 2018
Materias:	Computational cost interpolation schemes Newton-Gregory interpolation order valve closure arrangement
Acceso en línea:	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0718-33052018000200252
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spelling	oai:scielo:S0718-330520180002002522018-06-15Interpolation schemes for valve closure modellingTwyman Q.,John Computational cost interpolation schemes Newton-Gregory interpolation order valve closure arrangement ABSTRACT In transient flow condition the pressure variation will depend, among other factors, on the valve closure law, whose insertion into the water hammer's software code is an impractical task since there are so many closing laws as valve types, forcing to modify the program whenever a specific valve has to be considered. It is more practical to calculate the valve closure (τ) at a certain time intervals and to transfer this information to the software's data entry file. As the adopted temporal discretization for the valve closure's law will not necessarily coincide with the simulation time step (Δt), the t calculation at each Δt must be done by interpolation of two or more points belonging to the valve closure curve. The results will depend mainly of the valve type, the interpolation scheme used, and the interpolation order (IO) applied. In this article different interpolation methods are applied on two curve types: the first of linear type, characterized by having straight segments with abrupt slope changes; the second with softer forms. The results are compared with the exact solution. It is concluded that Newton-Gregory is the best interpolation method because it generates a lower computational cost and negligible interpolation errors regardless of the valve closure curve's shape.info:eu-repo/semantics/openAccessUniversidad de Tarapacá.Ingeniare. Revista chilena de ingeniería v.26 n.2 20182018-06-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0718-33052018000200252en10.4067/S0718-33052018000200252
institution	Scielo Chile
collection	Scielo Chile
language	English
topic	Computational cost interpolation schemes Newton-Gregory interpolation order valve closure arrangement
spellingShingle	Computational cost interpolation schemes Newton-Gregory interpolation order valve closure arrangement Twyman Q.,John Interpolation schemes for valve closure modelling
description	ABSTRACT In transient flow condition the pressure variation will depend, among other factors, on the valve closure law, whose insertion into the water hammer's software code is an impractical task since there are so many closing laws as valve types, forcing to modify the program whenever a specific valve has to be considered. It is more practical to calculate the valve closure (τ) at a certain time intervals and to transfer this information to the software's data entry file. As the adopted temporal discretization for the valve closure's law will not necessarily coincide with the simulation time step (Δt), the t calculation at each Δt must be done by interpolation of two or more points belonging to the valve closure curve. The results will depend mainly of the valve type, the interpolation scheme used, and the interpolation order (IO) applied. In this article different interpolation methods are applied on two curve types: the first of linear type, characterized by having straight segments with abrupt slope changes; the second with softer forms. The results are compared with the exact solution. It is concluded that Newton-Gregory is the best interpolation method because it generates a lower computational cost and negligible interpolation errors regardless of the valve closure curve's shape.
author	Twyman Q.,John
author_facet	Twyman Q.,John
author_sort	Twyman Q.,John
title	Interpolation schemes for valve closure modelling
title_short	Interpolation schemes for valve closure modelling
title_full	Interpolation schemes for valve closure modelling
title_fullStr	Interpolation schemes for valve closure modelling
title_full_unstemmed	Interpolation schemes for valve closure modelling
title_sort	interpolation schemes for valve closure modelling
publisher	Universidad de Tarapacá.
publishDate	2018
url	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0718-33052018000200252
work_keys_str_mv	AT twymanqjohn interpolationschemesforvalveclosuremodelling
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Interpolation schemes for valve closure modelling

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