One-dimensional modelling of curvilinear free surface flow: Generalized Matthew theory
The potential flow theory is a good mathematical approximation to various problems in the fields of free surface open channel and groundwater flows. In both fields, second-order equations are commonly derived using perturbation methods to account for the non-hydrostatic pressure distribution. However, an alternative technique is Picard's iteration approach, used by Matthew for steady open channel flows. Regretfully, this technique was not expanded to unsteady potential flow, limiting its full impact. The purpose of this work is to generalize the theory of Matthew to unsteady potential free surface flow, both for open channels and groundwater. The new development is an alternative to perturbation techniques, highlighting the relevance of Matthew's work. To illustrate the widespread problems to which the theory applies, simulations are made for a dambreak wave and for flow in sloping and curved aquifers. In both cases one-dimensional results are in good agreement with two-dimensional data. © 2014 International Association for Hydro-Environment Engineering and Research.
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Taylor & Francis
2014-02
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Subjects: | Biography, Potential flow, Hydraulics, Open channel flow, Boussinesq model, |
Online Access: | http://hdl.handle.net/10261/101152 http://dx.doi.org/10.13039/501100011011 |
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dig-ias-es-10261-1011522018-01-16T10:57:22Z One-dimensional modelling of curvilinear free surface flow: Generalized Matthew theory Castro-Orgaz, Óscar Hager, Willi H. Junta de Andalucía Biography Potential flow Hydraulics Open channel flow Boussinesq model The potential flow theory is a good mathematical approximation to various problems in the fields of free surface open channel and groundwater flows. In both fields, second-order equations are commonly derived using perturbation methods to account for the non-hydrostatic pressure distribution. However, an alternative technique is Picard's iteration approach, used by Matthew for steady open channel flows. Regretfully, this technique was not expanded to unsteady potential flow, limiting its full impact. The purpose of this work is to generalize the theory of Matthew to unsteady potential free surface flow, both for open channels and groundwater. The new development is an alternative to perturbation techniques, highlighting the relevance of Matthew's work. To illustrate the widespread problems to which the theory applies, simulations are made for a dambreak wave and for flow in sloping and curved aquifers. In both cases one-dimensional results are in good agreement with two-dimensional data. © 2014 International Association for Hydro-Environment Engineering and Research. This research was supported by the Junta de Andalucia, Spain [research project P09-AGR-4782]. Peer Reviewed 2014-08-26T06:50:57Z 2014-08-26T06:50:57Z 2014-02 2014-08-26T06:50:57Z artículo http://purl.org/coar/resource_type/c_6501 doi: 10.1080/00221686.2013.834853 issn: 0022-1686 e-issn: 1814-2079 Journal of Hydraulic Research 52(1): 14-23 (2014) http://hdl.handle.net/10261/101152 10.1080/00221686.2013.834853 http://dx.doi.org/10.13039/501100011011 http://doi.org/10.1080/00221686.2013.834853 Sí none Taylor & Francis |
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Biography Potential flow Hydraulics Open channel flow Boussinesq model Biography Potential flow Hydraulics Open channel flow Boussinesq model Castro-Orgaz, Óscar Hager, Willi H. One-dimensional modelling of curvilinear free surface flow: Generalized Matthew theory |
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The potential flow theory is a good mathematical approximation to various problems in the fields of free surface open channel and groundwater flows. In both fields, second-order equations are commonly derived using perturbation methods to account for the non-hydrostatic pressure distribution. However, an alternative technique is Picard's iteration approach, used by Matthew for steady open channel flows. Regretfully, this technique was not expanded to unsteady potential flow, limiting its full impact. The purpose of this work is to generalize the theory of Matthew to unsteady potential free surface flow, both for open channels and groundwater. The new development is an alternative to perturbation techniques, highlighting the relevance of Matthew's work. To illustrate the widespread problems to which the theory applies, simulations are made for a dambreak wave and for flow in sloping and curved aquifers. In both cases one-dimensional results are in good agreement with two-dimensional data. © 2014 International Association for Hydro-Environment Engineering and Research. |
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Junta de Andalucía |
author_facet |
Junta de Andalucía Castro-Orgaz, Óscar Hager, Willi H. |
format |
artículo |
topic_facet |
Biography Potential flow Hydraulics Open channel flow Boussinesq model |
author |
Castro-Orgaz, Óscar Hager, Willi H. |
author_sort |
Castro-Orgaz, Óscar |
title |
One-dimensional modelling of curvilinear free surface flow: Generalized Matthew theory |
title_short |
One-dimensional modelling of curvilinear free surface flow: Generalized Matthew theory |
title_full |
One-dimensional modelling of curvilinear free surface flow: Generalized Matthew theory |
title_fullStr |
One-dimensional modelling of curvilinear free surface flow: Generalized Matthew theory |
title_full_unstemmed |
One-dimensional modelling of curvilinear free surface flow: Generalized Matthew theory |
title_sort |
one-dimensional modelling of curvilinear free surface flow: generalized matthew theory |
publisher |
Taylor & Francis |
publishDate |
2014-02 |
url |
http://hdl.handle.net/10261/101152 http://dx.doi.org/10.13039/501100011011 |
work_keys_str_mv |
AT castroorgazoscar onedimensionalmodellingofcurvilinearfreesurfaceflowgeneralizedmatthewtheory AT hagerwillih onedimensionalmodellingofcurvilinearfreesurfaceflowgeneralizedmatthewtheory |
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1777663070035771392 |