The effect of obstacle length and height in supercritical free-surface flow

The effect of obstacle length and height in supercritical free-surface flow | Research Square window.SnipcartSettings = { analytics: { enabled: false } }; (function() { var accessVector = localStorage.getItem('access_vector') || ''; window.dataLayer = window.dataLayer || []; if (accessVector) { window.dataLayer.push({ user: { profile: { profileInfo: { snid: accessVector } } } }); } })(); (function(w,d,s,l,i){w[l]=w[l]||[];w[l].push({'gtm.start':new Date().getTime(),event:'gtm.js'});var f=d.getElementsByTagName(s)[0],j=d.createElement(s),dl=l!='dataLayer'?'&l='+l:'';j.async=true;j.src='https://www.googletagmanager.com/gtm.js?id='+i+dl;f.parentNode.insertBefore(j,f);})(window,document,'script','dataLayer','GTM-K279D39R'); Browse Preprints In Review Journals COVID-19 Preprints AJE Video Bytes Research Tools Research Promotion AJE Professional Editing AJE Rubriq About Preprint Platform In Review Editorial Policies Our Team Advisory Board Help Center Sign In Submit a Preprint Cite Share Download PDF Research Article The effect of obstacle length and height in supercritical free-surface flow Hugh Michalski, Trent Mattner, Sanjeeva Balasuriya, Benjamin Binder This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-5113232/v1 This work is licensed under a CC BY 4.0 License Status: Published Journal Publication published 12 Mar, 2025 Read the published version in Theoretical and Computational Fluid Dynamics → Version 1 posted 7 You are reading this latest preprint version Abstract Two-dimensional open channel flow past a rectangular disturbance in the channel bottom is considered in the case of supercritical flow, where the dimensionless flow rate is greater than unity. The response of the free surface to the height and length of a rectangular disturbance is investigated using the forced Korteweg-de Vries model of Michalski et al. (Theor Comput Fluid Dyn 38:511 - 530, 2024). A rich and complex structure of solutions is found as the length of the disturbance increases, especially in the case of a negative disturbance. As the length of the disturbance is decreased, some solutions approach those of the well-studied point forcing approximation, but there are other solutions, for a negative disturbance, that are not predicted by the point forcing model. The stability of steady solutions is then considered numerically with established pseudospectral methods. Free-surface flow Korteweg-de Vries equation Open channel flow Supercritical Full Text Additional Declarations No competing interests reported. Cite Share Download PDF Status: Published Journal Publication published 12 Mar, 2025 Read the published version in Theoretical and Computational Fluid Dynamics → Version 1 posted Editorial decision: Accepted 03 Jan, 2025 Reviews received at journal 15 Dec, 2024 Reviewers agreed at journal 17 Nov, 2024 Reviewers invited by journal 14 Nov, 2024 Editor assigned by journal 20 Sep, 2024 Submission checks completed at journal 20 Sep, 2024 First submitted to journal 18 Sep, 2024 You are reading this latest preprint version Research Square lets you share your work early, gain feedback from the community, and start making changes to your manuscript prior to peer review in a journal. As a division of Research Square Company, we’re committed to making research communication faster, fairer, and more useful. We do this by developing innovative software and high quality services for the global research community. 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Also discoverable on Platform About Our Team In Review Editorial Policies Advisory Board Help Center Resources Author Services Accessibility API Access RSS feed Manage Cookie Preferences © Research Square 2026 | ISSN 2693-5015 (online) Privacy Policy Terms of Service Do Not Sell My Personal Information {"props":{"pageProps":{"initialData":{"identity":"rs-5113232","acceptedTermsAndConditions":true,"allowDirectSubmit":false,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":380187141,"identity":"8855da9b-ed62-4545-ae9b-e03bea058e59","order_by":0,"name":"Hugh Michalski","email":"data:image/png;base64,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","orcid":"","institution":"University of Adelaide","correspondingAuthor":true,"prefix":"","firstName":"Hugh","middleName":"","lastName":"Michalski","suffix":""},{"id":380187142,"identity":"317c8f13-3a1a-4948-999d-4a8b6e8ad406","order_by":1,"name":"Trent Mattner","email":"","orcid":"","institution":"University of Adelaide","correspondingAuthor":false,"prefix":"","firstName":"Trent","middleName":"","lastName":"Mattner","suffix":""},{"id":380187143,"identity":"81cf7661-157f-44cb-9a57-60d8873569de","order_by":2,"name":"Sanjeeva Balasuriya","email":"","orcid":"","institution":"University of Adelaide","correspondingAuthor":false,"prefix":"","firstName":"Sanjeeva","middleName":"","lastName":"Balasuriya","suffix":""},{"id":380187144,"identity":"4406d53a-5ff4-4736-8db4-06621f2e1913","order_by":3,"name":"Benjamin Binder","email":"","orcid":"","institution":"University of Adelaide","correspondingAuthor":false,"prefix":"","firstName":"Benjamin","middleName":"","lastName":"Binder","suffix":""}],"badges":[],"createdAt":"2024-09-19 02:29:52","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-5113232/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-5113232/v1","draftVersion":[],"editorialEvents":[{"content":"https://doi.org/10.1007/s00162-025-00735-3","type":"published","date":"2025-03-12T15:57:27+00:00"}],"editorialNote":"","failedWorkflow":false,"files":[{"id":78689745,"identity":"1601b14d-c10f-4dc1-8839-843c450a0eaa","added_by":"auto","created_at":"2025-03-17 16:13:13","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":10389591,"visible":true,"origin":"","legend":"","description":"","filename":"MichalskietalSupercriticalTCFD.pdf","url":"https://assets-eu.researchsquare.com/files/rs-5113232/v1_covered_d8cd2dd4-ab68-4c3e-8216-8c21eba182ac.pdf"}],"financialInterests":"No competing interests reported.","formattedTitle":"\u003cp\u003eThe effect of obstacle length and height in supercritical free-surface flow \u003c/p\u003e","fulltext":[],"fulltextSource":"","fullText":"","funders":[],"hasAdminPriorityOnWorkflow":false,"hasManuscriptDocX":false,"hasOptedInToPreprint":true,"hasPassedJournalQc":"","hasAnyPriority":false,"hideJournal":false,"highlight":"","institution":"","isAcceptedByJournal":true,"isAuthorSuppliedPdf":true,"isDeskRejected":"","isHiddenFromSearch":false,"isInQc":false,"isInWorkflow":false,"isPdf":true,"isPdfUpToDate":true,"isWithdrawnOrRetracted":false,"journal":{"display":true,"email":"[email protected]","identity":"theoretical-and-computational-fluid-dynamics","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":false,"externalIdentity":"tcfd","sideBox":"Learn more about [Theoretical and Computational Fluid Dynamics](http://link.springer.com/journal/162)","snPcode":"162","submissionUrl":"https://submission.nature.com/new-submission/162/3","title":"Theoretical and Computational Fluid Dynamics","twitterHandle":"","acdcEnabled":true,"dfaEnabled":true,"editorialSystem":"em","reportingPortfolio":"Springer Hybrid","inReviewEnabled":true,"inReviewRevisionsEnabled":false},"keywords":"Free-surface flow, Korteweg-de Vries equation, Open channel flow, Supercritical","lastPublishedDoi":"10.21203/rs.3.rs-5113232/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-5113232/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"Two-dimensional open channel flow past a rectangular disturbance in the channel bottom is considered in the case of supercritical flow, where the dimensionless flow rate is greater than unity. 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