Vertically-averaged and moment equations for flow and sediment transport
Simulation of river flow processes including sediment transport is usually conducted using the shallow water flow equations, which are based on a hydrostatic pressure distribution. To increase the accuracy of predictions in a variety of scenarios involving horizontal length scales of the order of vertical length scales, an improved representation of the vertical flow structure is necessary. The mathematical approximation to field variables like the velocity and fluid pressure must be enhanced during the depth-integrating process. Therefore, this paper presents a 1D non-hydrostatic flow and sediment transport model developed by using the method of the weighted residuals into the RANS equations. Using continuity, momentum, and moment equations, the fluid pressure distribution is modelled using a quadratic predictor with perturbation parameters to deviate the vertical momentum balance from the hydrostatic law. The flow equations are a generalized non-hydrostatic flow solver, where the fluid density variation due to suspension of sediments and the bed deformation due to erosion-sedimentation processes are accounted for. A hybrid semi-implicit finite volume-finite difference numerical scheme is developed to solve the system of conservation laws. Two different approaches are used to model the sediment transport processes: (i) Unified computation of the total-load transport and (ii) separate computation of suspended and bed loads. The accuracy of the non-hydrostatic model is demonstrated by comparison with experimental data, highlighting better results accounting for separate determinations of the suspended and bed loads in highly erosive flows.
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Format: | artículo biblioteca |
Language: | English |
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Elsevier
2019-10
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Subjects: | Debris flows, Erosion processes, VAM model, Weighted residual method, |
Online Access: | http://hdl.handle.net/10261/205786 http://dx.doi.org/10.13039/501100003329 http://dx.doi.org/10.13039/501100011033 |
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dig-ias-es-10261-2057862021-10-01T04:32:15Z Vertically-averaged and moment equations for flow and sediment transport Cantero-Chinchilla, Francisco N. Castro-Orgaz, Óscar Khan, Abdul A. Agencia Estatal de Investigación (España) Ministerio de Ciencia, Innovación y Universidades (España) Ministerio de Economía y Competitividad (España) Debris flows Erosion processes VAM model Weighted residual method Simulation of river flow processes including sediment transport is usually conducted using the shallow water flow equations, which are based on a hydrostatic pressure distribution. To increase the accuracy of predictions in a variety of scenarios involving horizontal length scales of the order of vertical length scales, an improved representation of the vertical flow structure is necessary. The mathematical approximation to field variables like the velocity and fluid pressure must be enhanced during the depth-integrating process. Therefore, this paper presents a 1D non-hydrostatic flow and sediment transport model developed by using the method of the weighted residuals into the RANS equations. Using continuity, momentum, and moment equations, the fluid pressure distribution is modelled using a quadratic predictor with perturbation parameters to deviate the vertical momentum balance from the hydrostatic law. The flow equations are a generalized non-hydrostatic flow solver, where the fluid density variation due to suspension of sediments and the bed deformation due to erosion-sedimentation processes are accounted for. A hybrid semi-implicit finite volume-finite difference numerical scheme is developed to solve the system of conservation laws. Two different approaches are used to model the sediment transport processes: (i) Unified computation of the total-load transport and (ii) separate computation of suspended and bed loads. The accuracy of the non-hydrostatic model is demonstrated by comparison with experimental data, highlighting better results accounting for separate determinations of the suspended and bed loads in highly erosive flows. This work was supported by the Spanish project CTM2017-85171-C2-1-R. The first author was partly funded by the Spanish Ministry of Science, Innovation and Universities through Programa Juan de la Cierva 2016 (FJCI-2016–28009). Peer reviewed 2020-03-30T10:45:13Z 2020-03-30T10:45:13Z 2019-10 artículo http://purl.org/coar/resource_type/c_6501 Advances in Water Resources 132: 103387 (2019) 0309-1708 http://hdl.handle.net/10261/205786 10.1016/j.advwatres.2019.103387 http://dx.doi.org/10.13039/501100003329 http://dx.doi.org/10.13039/501100011033 en #PLACEHOLDER_PARENT_METADATA_VALUE# #PLACEHOLDER_PARENT_METADATA_VALUE# #PLACEHOLDER_PARENT_METADATA_VALUE# info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/CTM2017-85171-C2-1-R CTM2017-85171-C2-1-R/AEI/10.13039/501100011033 info:eu-repo/grantAgreement/MINECO/Plan Estatal de Investigación Científica y Técnica y de Innovación 2013-2016/FJCI-2016-28009 Postprint https://doi.org/10.1016/j.advwatres.2019.103387 Sí open Elsevier |
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Debris flows Erosion processes VAM model Weighted residual method Debris flows Erosion processes VAM model Weighted residual method |
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Debris flows Erosion processes VAM model Weighted residual method Debris flows Erosion processes VAM model Weighted residual method Cantero-Chinchilla, Francisco N. Castro-Orgaz, Óscar Khan, Abdul A. Vertically-averaged and moment equations for flow and sediment transport |
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Simulation of river flow processes including sediment transport is usually conducted using the shallow water flow equations, which are based on a hydrostatic pressure distribution. To increase the accuracy of predictions in a variety of scenarios involving horizontal length scales of the order of vertical length scales, an improved representation of the vertical flow structure is necessary. The mathematical approximation to field variables like the velocity and fluid pressure must be enhanced during the depth-integrating process. Therefore, this paper presents a 1D non-hydrostatic flow and sediment transport model developed by using the method of the weighted residuals into the RANS equations. Using continuity, momentum, and moment equations, the fluid pressure distribution is modelled using a quadratic predictor with perturbation parameters to deviate the vertical momentum balance from the hydrostatic law. The flow equations are a generalized non-hydrostatic flow solver, where the fluid density variation due to suspension of sediments and the bed deformation due to erosion-sedimentation processes are accounted for. A hybrid semi-implicit finite volume-finite difference numerical scheme is developed to solve the system of conservation laws. Two different approaches are used to model the sediment transport processes: (i) Unified computation of the total-load transport and (ii) separate computation of suspended and bed loads. The accuracy of the non-hydrostatic model is demonstrated by comparison with experimental data, highlighting better results accounting for separate determinations of the suspended and bed loads in highly erosive flows. |
author2 |
Agencia Estatal de Investigación (España) |
author_facet |
Agencia Estatal de Investigación (España) Cantero-Chinchilla, Francisco N. Castro-Orgaz, Óscar Khan, Abdul A. |
format |
artículo |
topic_facet |
Debris flows Erosion processes VAM model Weighted residual method |
author |
Cantero-Chinchilla, Francisco N. Castro-Orgaz, Óscar Khan, Abdul A. |
author_sort |
Cantero-Chinchilla, Francisco N. |
title |
Vertically-averaged and moment equations for flow and sediment transport |
title_short |
Vertically-averaged and moment equations for flow and sediment transport |
title_full |
Vertically-averaged and moment equations for flow and sediment transport |
title_fullStr |
Vertically-averaged and moment equations for flow and sediment transport |
title_full_unstemmed |
Vertically-averaged and moment equations for flow and sediment transport |
title_sort |
vertically-averaged and moment equations for flow and sediment transport |
publisher |
Elsevier |
publishDate |
2019-10 |
url |
http://hdl.handle.net/10261/205786 http://dx.doi.org/10.13039/501100003329 http://dx.doi.org/10.13039/501100011033 |
work_keys_str_mv |
AT canterochinchillafranciscon verticallyaveragedandmomentequationsforflowandsedimenttransport AT castroorgazoscar verticallyaveragedandmomentequationsforflowandsedimenttransport AT khanabdula verticallyaveragedandmomentequationsforflowandsedimenttransport |
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1777663250935054336 |