Timescale interpolation and no-neighbour discretization for a 1D finite-volume Saint-Venant solver
A new finite-volume numerical method for the one-dimensional (1D) Saint-Venant equations for unsteady open-channel flow is developed and tested. The model uses a recently-developed conservative finite-volume formulation that is inherently well-balanced for natural channels. A new timescale interpola...
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| Veröffentlicht in: | Journal of hydraulic research 2020-09, Vol.58 (5), p.738-754 |
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| container_title | Journal of hydraulic research |
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| creator | Hodges, Ben R. Liu, Frank |
| description | A new finite-volume numerical method for the one-dimensional (1D) Saint-Venant equations for unsteady open-channel flow is developed and tested. The model uses a recently-developed conservative finite-volume formulation that is inherently well-balanced for natural channels. A new timescale interpolation approach provides transition between 1st-order upwind and 2nd-order central interpolation schemes for supercritical and subcritical flow, respectively. This interpolation meets a proposed "no-neighbour" criterion for simplicity in future parallel implementation. Tests with a highly-resolved transitional flow and a coarsely-resolved natural channel show that the method is stable and accurate when applied with a flowrate damping algorithm that limits propagation of energy down to subgrid scales. |
| doi_str_mv | 10.1080/00221686.2019.1671510 |
| format | Article |
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The model uses a recently-developed conservative finite-volume formulation that is inherently well-balanced for natural channels. A new timescale interpolation approach provides transition between 1st-order upwind and 2nd-order central interpolation schemes for supercritical and subcritical flow, respectively. This interpolation meets a proposed "no-neighbour" criterion for simplicity in future parallel implementation. Tests with a highly-resolved transitional flow and a coarsely-resolved natural channel show that the method is stable and accurate when applied with a flowrate damping algorithm that limits propagation of energy down to subgrid scales.</description><identifier>ISSN: 0022-1686</identifier><identifier>EISSN: 1814-2079</identifier><identifier>DOI: 10.1080/00221686.2019.1671510</identifier><language>eng</language><publisher>Madrid: Taylor & Francis</publisher><subject>Algorithms ; Channel flow ; Damping ; Finite volume method ; Flow rates ; hydraulic jumps ; Interpolation ; Mathematical models ; Model testing ; Numerical methods ; one-dimensional models ; Open channel flow ; Saint-Venant equations ; shallow flows ; streams and rivers ; Subcritical flow ; Time ; Tranquil flow</subject><ispartof>Journal of hydraulic research, 2020-09, Vol.58 (5), p.738-754</ispartof><rights>2019 International Association for Hydro-Environment Engineering and Research 2019</rights><rights>2019 International Association for Hydro-Environment Engineering and Research</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c338t-368bd2cf29eceb95a05a1156b9dae804ba428fbc867cfde54dadac03d38d68023</citedby><cites>FETCH-LOGICAL-c338t-368bd2cf29eceb95a05a1156b9dae804ba428fbc867cfde54dadac03d38d68023</cites><orcidid>0000-0001-6615-0739 ; 0000-0002-2007-1717</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://www.tandfonline.com/doi/pdf/10.1080/00221686.2019.1671510$$EPDF$$P50$$Ginformaworld$$H</linktopdf><linktohtml>$$Uhttps://www.tandfonline.com/doi/full/10.1080/00221686.2019.1671510$$EHTML$$P50$$Ginformaworld$$H</linktohtml><link.rule.ids>314,778,782,27911,27912,59632,60421</link.rule.ids></links><search><creatorcontrib>Hodges, Ben R.</creatorcontrib><creatorcontrib>Liu, Frank</creatorcontrib><title>Timescale interpolation and no-neighbour discretization for a 1D finite-volume Saint-Venant solver</title><title>Journal of hydraulic research</title><description>A new finite-volume numerical method for the one-dimensional (1D) Saint-Venant equations for unsteady open-channel flow is developed and tested. 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Tests with a highly-resolved transitional flow and a coarsely-resolved natural channel show that the method is stable and accurate when applied with a flowrate damping algorithm that limits propagation of energy down to subgrid scales.</description><subject>Algorithms</subject><subject>Channel flow</subject><subject>Damping</subject><subject>Finite volume method</subject><subject>Flow rates</subject><subject>hydraulic jumps</subject><subject>Interpolation</subject><subject>Mathematical models</subject><subject>Model testing</subject><subject>Numerical methods</subject><subject>one-dimensional models</subject><subject>Open channel flow</subject><subject>Saint-Venant equations</subject><subject>shallow flows</subject><subject>streams and rivers</subject><subject>Subcritical flow</subject><subject>Time</subject><subject>Tranquil flow</subject><issn>0022-1686</issn><issn>1814-2079</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2020</creationdate><recordtype>article</recordtype><recordid>eNp9kMtOwzAQRS0EEqXwCUiWWKfYTuI6O1B5SpVYUNhaEz_AVWIXOy0qX0-ilC2r0WjuvTNzELqkZEaJINeEMEa54DNGaDWjfE5LSo7QhApaZIzMq2M0GTTZIDpFZymt-5bzik9QvXKtSQoag53vTNyEBjoXPAavsQ-ZN-7jsw7biLVLKprO_YxzGyIGTO-wdd51JtuFZtsa_Ap9TPZuPPgOp9DsTDxHJxaaZC4OdYreHu5Xi6ds-fL4vLhdZirPRZflXNSaKcsqo0xdlUBKoLTkdaXBCFLUUDBhayX4XFltykKDBkVynQvNBWH5FF2NuZsYvrYmdXLd3-37lZIVBa9KUQjeq8pRpWJIKRorN9G1EPeSEjnglH845YBTHnD2vpvR53z_egvfITZadrBvQrQRvHJJ5v9H_AJW0H3H</recordid><startdate>20200918</startdate><enddate>20200918</enddate><creator>Hodges, Ben R.</creator><creator>Liu, Frank</creator><general>Taylor & Francis</general><general>Taylor & Francis Ltd</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7QH</scope><scope>7TB</scope><scope>7UA</scope><scope>8FD</scope><scope>C1K</scope><scope>F1W</scope><scope>FR3</scope><scope>H96</scope><scope>KR7</scope><scope>L.G</scope><orcidid>https://orcid.org/0000-0001-6615-0739</orcidid><orcidid>https://orcid.org/0000-0002-2007-1717</orcidid></search><sort><creationdate>20200918</creationdate><title>Timescale interpolation and no-neighbour discretization for a 1D finite-volume Saint-Venant solver</title><author>Hodges, Ben R. ; Liu, Frank</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c338t-368bd2cf29eceb95a05a1156b9dae804ba428fbc867cfde54dadac03d38d68023</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2020</creationdate><topic>Algorithms</topic><topic>Channel flow</topic><topic>Damping</topic><topic>Finite volume method</topic><topic>Flow rates</topic><topic>hydraulic jumps</topic><topic>Interpolation</topic><topic>Mathematical models</topic><topic>Model testing</topic><topic>Numerical methods</topic><topic>one-dimensional models</topic><topic>Open channel flow</topic><topic>Saint-Venant equations</topic><topic>shallow flows</topic><topic>streams and rivers</topic><topic>Subcritical flow</topic><topic>Time</topic><topic>Tranquil flow</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Hodges, Ben R.</creatorcontrib><creatorcontrib>Liu, Frank</creatorcontrib><collection>CrossRef</collection><collection>Aqualine</collection><collection>Mechanical & Transportation Engineering Abstracts</collection><collection>Water Resources Abstracts</collection><collection>Technology Research Database</collection><collection>Environmental Sciences and Pollution Management</collection><collection>ASFA: Aquatic Sciences and Fisheries Abstracts</collection><collection>Engineering Research Database</collection><collection>Aquatic Science & Fisheries Abstracts (ASFA) 2: Ocean Technology, Policy & Non-Living Resources</collection><collection>Civil Engineering Abstracts</collection><collection>Aquatic Science & Fisheries Abstracts (ASFA) Professional</collection><jtitle>Journal of hydraulic research</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Hodges, Ben R.</au><au>Liu, Frank</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Timescale interpolation and no-neighbour discretization for a 1D finite-volume Saint-Venant solver</atitle><jtitle>Journal of hydraulic research</jtitle><date>2020-09-18</date><risdate>2020</risdate><volume>58</volume><issue>5</issue><spage>738</spage><epage>754</epage><pages>738-754</pages><issn>0022-1686</issn><eissn>1814-2079</eissn><abstract>A new finite-volume numerical method for the one-dimensional (1D) Saint-Venant equations for unsteady open-channel flow is developed and tested. 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| ispartof | Journal of hydraulic research, 2020-09, Vol.58 (5), p.738-754 |
| issn | 0022-1686 1814-2079 |
| language | eng |
| recordid | cdi_crossref_primary_10_1080_00221686_2019_1671510 |
| source | Taylor & Francis:Master (3349 titles) |
| subjects | Algorithms Channel flow Damping Finite volume method Flow rates hydraulic jumps Interpolation Mathematical models Model testing Numerical methods one-dimensional models Open channel flow Saint-Venant equations shallow flows streams and rivers Subcritical flow Time Tranquil flow |
| title | Timescale interpolation and no-neighbour discretization for a 1D finite-volume Saint-Venant solver |
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