Fractional-Step Method Solution of Diffusive Wave Equation

Fractional-Step Method Solution of Diffusive Wave Equation

Flood routing modeling of one-dimensional unsteady flow in open channels is sometimes based on the numerical solution of the diffusive wave equation. This paper presents a computational method for the solution of the diffusive wave problem with lateral inflow, based on the fractional-step technique....

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Journal of hydrologic engineering 2001-01, Vol.6 (1), p.11-19
Hauptverfasser: Moussa, Roger, Bocquillon, Claude
Format: Artikel
Sprache:eng
Schlagworte:
Environmental Sciences
Life Sciences
TECHNICAL PAPERS
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
container_end_page 19
container_issue 1
container_start_page 11
container_title Journal of hydrologic engineering
container_volume 6
creator Moussa, Roger
Bocquillon, Claude
description Flood routing modeling of one-dimensional unsteady flow in open channels is sometimes based on the numerical solution of the diffusive wave equation. This paper presents a computational method for the solution of the diffusive wave problem with lateral inflow, based on the fractional-step technique. This method converts the diffusive wave problem into two single problems by utilizing separate equations for convection and diffusion. This separation is well adapted for computerization in distributed hydrological models. The applicability and the accuracy of this method are studied by mathematical analysis. Results show that this method provides an efficient and accurate resolution of the diffusive wave equation under some conditions on space and time steps and on spatial and temporal distribution of lateral inflow.
doi_str_mv 10.1061/(ASCE)1084-0699(2001)6:1(11)
format Article
fullrecord <record><control><sourceid>proquest_hal_p</sourceid><recordid>TN_cdi_hal_primary_oai_HAL_hal_02674548v1</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>17781106</sourcerecordid><originalsourceid>FETCH-LOGICAL-a436t-ac1d3b483641859a35b642a8a22843214c954a4891a956c951755662f6f73cdf3</originalsourceid><addsrcrecordid>eNqFkU1PwkAQhhujiYj-hx6MgUN1p93dbvFEEESD8YDGeJoMpQ0lhYVuS-K_dxfQo-5hvvbJm8k7nncN7BaYhLtOfzoYdoEpHjCZJJ2QMejKHnQAuideCxIeBUIofmrrH-jcuzBmaUFum5bXG1WU1oVeUxlM62zjv2T1Qs_9qS4bN_Z17j8Ued6YYpf5H2TDcNuQ-7r0znIqTXZ1zG3vfTR8G4yDyevj06A_CYhHsg4ohXk04yqSHJRIKBIzyUNSFIaKRyHwNBGcuEqAEiFtA7EQUoa5zOMonedR2-sedBdU4qYqVlR9oaYCx_0JuhkLZcwFVzuw7M2B3VR622SmxlVh0qwsaZ3pxqAlQwlC_gtCHCuwJlvw_gCmlTamyvLfFYChuwKiuwI6g9EZjO4KKBEQ3D5HT8iK41I3lTXa4PP4czgaMffkPsI-ADumg_Afut__Xo8b</addsrcrecordid><sourcetype>Open Access Repository</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>17781106</pqid></control><display><type>article</type><title>Fractional-Step Method Solution of Diffusive Wave Equation</title><source>American Society of Civil Engineers:NESLI2:Journals:2014</source><creator>Moussa, Roger ; Bocquillon, Claude</creator><creatorcontrib>Moussa, Roger ; Bocquillon, Claude</creatorcontrib><description>Flood routing modeling of one-dimensional unsteady flow in open channels is sometimes based on the numerical solution of the diffusive wave equation. This paper presents a computational method for the solution of the diffusive wave problem with lateral inflow, based on the fractional-step technique. This method converts the diffusive wave problem into two single problems by utilizing separate equations for convection and diffusion. This separation is well adapted for computerization in distributed hydrological models. The applicability and the accuracy of this method are studied by mathematical analysis. Results show that this method provides an efficient and accurate resolution of the diffusive wave equation under some conditions on space and time steps and on spatial and temporal distribution of lateral inflow.</description><identifier>ISSN: 1084-0699</identifier><identifier>EISSN: 1943-5584</identifier><identifier>DOI: 10.1061/(ASCE)1084-0699(2001)6:1(11)</identifier><language>eng</language><publisher>American Society of Civil Engineers</publisher><subject>Environmental Sciences ; Life Sciences ; TECHNICAL PAPERS</subject><ispartof>Journal of hydrologic engineering, 2001-01, Vol.6 (1), p.11-19</ispartof><rights>Distributed under a Creative Commons Attribution 4.0 International License</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-a436t-ac1d3b483641859a35b642a8a22843214c954a4891a956c951755662f6f73cdf3</citedby><cites>FETCH-LOGICAL-a436t-ac1d3b483641859a35b642a8a22843214c954a4891a956c951755662f6f73cdf3</cites><orcidid>0000-0003-0869-6172</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttp://ascelibrary.org/doi/pdf/10.1061/(ASCE)1084-0699(2001)6:1(11)$$EPDF$$P50$$Gasce$$H</linktopdf><linktohtml>$$Uhttp://ascelibrary.org/doi/abs/10.1061/(ASCE)1084-0699(2001)6:1(11)$$EHTML$$P50$$Gasce$$H</linktohtml><link.rule.ids>230,314,780,784,885,4024,27923,27924,27925,76193,76201</link.rule.ids><backlink>$$Uhttps://hal.inrae.fr/hal-02674548$$DView record in HAL$$Hfree_for_read</backlink></links><search><creatorcontrib>Moussa, Roger</creatorcontrib><creatorcontrib>Bocquillon, Claude</creatorcontrib><title>Fractional-Step Method Solution of Diffusive Wave Equation</title><title>Journal of hydrologic engineering</title><description>Flood routing modeling of one-dimensional unsteady flow in open channels is sometimes based on the numerical solution of the diffusive wave equation. This paper presents a computational method for the solution of the diffusive wave problem with lateral inflow, based on the fractional-step technique. This method converts the diffusive wave problem into two single problems by utilizing separate equations for convection and diffusion. This separation is well adapted for computerization in distributed hydrological models. The applicability and the accuracy of this method are studied by mathematical analysis. Results show that this method provides an efficient and accurate resolution of the diffusive wave equation under some conditions on space and time steps and on spatial and temporal distribution of lateral inflow.</description><subject>Environmental Sciences</subject><subject>Life Sciences</subject><subject>TECHNICAL PAPERS</subject><issn>1084-0699</issn><issn>1943-5584</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2001</creationdate><recordtype>article</recordtype><recordid>eNqFkU1PwkAQhhujiYj-hx6MgUN1p93dbvFEEESD8YDGeJoMpQ0lhYVuS-K_dxfQo-5hvvbJm8k7nncN7BaYhLtOfzoYdoEpHjCZJJ2QMejKHnQAuideCxIeBUIofmrrH-jcuzBmaUFum5bXG1WU1oVeUxlM62zjv2T1Qs_9qS4bN_Z17j8Ued6YYpf5H2TDcNuQ-7r0znIqTXZ1zG3vfTR8G4yDyevj06A_CYhHsg4ohXk04yqSHJRIKBIzyUNSFIaKRyHwNBGcuEqAEiFtA7EQUoa5zOMonedR2-sedBdU4qYqVlR9oaYCx_0JuhkLZcwFVzuw7M2B3VR622SmxlVh0qwsaZ3pxqAlQwlC_gtCHCuwJlvw_gCmlTamyvLfFYChuwKiuwI6g9EZjO4KKBEQ3D5HT8iK41I3lTXa4PP4czgaMffkPsI-ADumg_Afut__Xo8b</recordid><startdate>200101</startdate><enddate>200101</enddate><creator>Moussa, Roger</creator><creator>Bocquillon, Claude</creator><general>American Society of Civil Engineers</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7UA</scope><scope>C1K</scope><scope>8FD</scope><scope>FR3</scope><scope>KR7</scope><scope>1XC</scope><orcidid>https://orcid.org/0000-0003-0869-6172</orcidid></search><sort><creationdate>200101</creationdate><title>Fractional-Step Method Solution of Diffusive Wave Equation</title><author>Moussa, Roger ; Bocquillon, Claude</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a436t-ac1d3b483641859a35b642a8a22843214c954a4891a956c951755662f6f73cdf3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2001</creationdate><topic>Environmental Sciences</topic><topic>Life Sciences</topic><topic>TECHNICAL PAPERS</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Moussa, Roger</creatorcontrib><creatorcontrib>Bocquillon, Claude</creatorcontrib><collection>CrossRef</collection><collection>Water Resources Abstracts</collection><collection>Environmental Sciences and Pollution Management</collection><collection>Technology Research Database</collection><collection>Engineering Research Database</collection><collection>Civil Engineering Abstracts</collection><collection>Hyper Article en Ligne (HAL)</collection><jtitle>Journal of hydrologic engineering</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Moussa, Roger</au><au>Bocquillon, Claude</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Fractional-Step Method Solution of Diffusive Wave Equation</atitle><jtitle>Journal of hydrologic engineering</jtitle><date>2001-01</date><risdate>2001</risdate><volume>6</volume><issue>1</issue><spage>11</spage><epage>19</epage><pages>11-19</pages><issn>1084-0699</issn><eissn>1943-5584</eissn><abstract>Flood routing modeling of one-dimensional unsteady flow in open channels is sometimes based on the numerical solution of the diffusive wave equation. This paper presents a computational method for the solution of the diffusive wave problem with lateral inflow, based on the fractional-step technique. This method converts the diffusive wave problem into two single problems by utilizing separate equations for convection and diffusion. This separation is well adapted for computerization in distributed hydrological models. The applicability and the accuracy of this method are studied by mathematical analysis. Results show that this method provides an efficient and accurate resolution of the diffusive wave equation under some conditions on space and time steps and on spatial and temporal distribution of lateral inflow.</abstract><pub>American Society of Civil Engineers</pub><doi>10.1061/(ASCE)1084-0699(2001)6:1(11)</doi><tpages>9</tpages><orcidid>https://orcid.org/0000-0003-0869-6172</orcidid></addata></record>
fulltext fulltext
identifier ISSN: 1084-0699
ispartof Journal of hydrologic engineering, 2001-01, Vol.6 (1), p.11-19
issn 1084-0699
1943-5584
language eng
recordid cdi_hal_primary_oai_HAL_hal_02674548v1
source American Society of Civil Engineers:NESLI2:Journals:2014
subjects Environmental Sciences
Life Sciences
TECHNICAL PAPERS
title Fractional-Step Method Solution of Diffusive Wave Equation
url https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2024-12-24T20%3A23%3A34IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_hal_p&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Fractional-Step%20Method%20Solution%20of%20Diffusive%20Wave%20Equation&rft.jtitle=Journal%20of%20hydrologic%20engineering&rft.au=Moussa,%20Roger&rft.date=2001-01&rft.volume=6&rft.issue=1&rft.spage=11&rft.epage=19&rft.pages=11-19&rft.issn=1084-0699&rft.eissn=1943-5584&rft_id=info:doi/10.1061/(ASCE)1084-0699(2001)6:1(11)&rft_dat=%3Cproquest_hal_p%3E17781106%3C/proquest_hal_p%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=17781106&rft_id=info:pmid/&rfr_iscdi=true