A Finite Volume Shallow Water Hydrodynamic Model and Its Validation

A Finite Volume Shallow Water Hydrodynamic Model and Its Validation | 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 A Finite Volume Shallow Water Hydrodynamic Model and Its Validation Changchong Cao, Zixuan Wang, Faxing Zhang, Xiang Gao, Shubing Dai This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-8922661/v1 This work is licensed under a CC BY 4.0 License Status: Under Review Version 1 posted 4 You are reading this latest preprint version Abstract This paper presents a new shallow water hydrodynamic model based on the finite volume MUSCL-Hancock method using a novel fully implicit friction source term discretization. This model has a well-balanced feature and can accurately simulate steady flow in moving water, completely static water flow, and complex flow processes, such as shock wave evolution and energy dissipation in unsteady flow. A total of six typical working conditions were constructed, including well-balanced problems, wet and dry bed (frictionless/friction) dam break, dam-break wave passing through triangular obstacles and cascade dam break. These conditions were validated by combining the analytical solutions of Ritter, Chanson, and others with the measured data. The results indicate that the model demonstrates good agreement with analytical solutions or experimental data in key parameters such as water surface profiles, discharge, and impact pressure evolution, effectively capturing the propagation of dam-break waves. The study confirms that, by coupling the two-dimensional shallow water equations with a high-accuracy numerical scheme, the model exhibits excellent applicability and precision in scenarios involving complex topography and wet-dry moving boundaries. It thus provides a reliable numerical tool for the analysis of complex hydrodynamic processes such as dam-break floods, as well as for disaster assessment, risk forecasting, and mitigation planning. dam-break flood shallow water hydrodynamic equations MUSCL-Hancock method friction source term Full Text Cite Share Download PDF Status: Under Review Version 1 posted Reviewers invited by journal 17 Mar, 2026 Editor invited by journal 16 Mar, 2026 Editor assigned by journal 20 Feb, 2026 First submitted to journal 20 Feb, 2026 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. 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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-8922661","acceptedTermsAndConditions":true,"allowDirectSubmit":false,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":607752167,"identity":"778ff713-a30e-4c07-9f29-4292d992bdf8","order_by":0,"name":"Changchong Cao","email":"","orcid":"","institution":"China Three Gorges International Co., Ltd, Beijing, China","correspondingAuthor":false,"prefix":"","firstName":"Changchong","middleName":"","lastName":"Cao","suffix":""},{"id":607752168,"identity":"98b4fca3-cf86-4111-8b9d-5dbafe8918ec","order_by":1,"name":"Zixuan Wang","email":"","orcid":"","institution":"Northwest A\u0026F University","correspondingAuthor":false,"prefix":"","firstName":"Zixuan","middleName":"","lastName":"Wang","suffix":""},{"id":607752169,"identity":"0c958579-99e8-4bec-ba2d-cd402f3fbc69","order_by":2,"name":"Faxing Zhang","email":"","orcid":"","institution":"Sichuan University","correspondingAuthor":false,"prefix":"","firstName":"Faxing","middleName":"","lastName":"Zhang","suffix":""},{"id":607752170,"identity":"1cc44a78-33c5-488a-bcfb-20ae439da087","order_by":3,"name":"Xiang Gao","email":"","orcid":"","institution":"Huixian Water Conservancy Survey and Design Team,Longnan,Gansu,China","correspondingAuthor":false,"prefix":"","firstName":"Xiang","middleName":"","lastName":"Gao","suffix":""},{"id":607752171,"identity":"6da12e3e-d476-4ae3-bbcb-ce086dd85735","order_by":4,"name":"Shubing Dai","email":"data:image/png;base64,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","orcid":"","institution":"Northwest A\u0026F University","correspondingAuthor":true,"prefix":"","firstName":"Shubing","middleName":"","lastName":"Dai","suffix":""}],"badges":[],"createdAt":"2026-02-20 05:43:20","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-8922661/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-8922661/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":105563070,"identity":"eda18061-6a17-41a8-a853-43025cb55e77","added_by":"auto","created_at":"2026-03-27 12:45:53","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":1342634,"visible":true,"origin":"","legend":"","description":"","filename":"Manuscript.pdf","url":"https://assets-eu.researchsquare.com/files/rs-8922661/v1_covered_2504e0cc-aca0-45cc-ab04-77380a3f55e1.pdf"}],"financialInterests":"","formattedTitle":"A Finite Volume Shallow Water Hydrodynamic Model and Its Validation","fulltext":[],"fulltextSource":"","fullText":"","funders":[],"hasAdminPriorityOnWorkflow":false,"hasManuscriptDocX":false,"hasOptedInToPreprint":true,"hasPassedJournalQc":"","hasAnyPriority":false,"hideJournal":false,"highlight":"","institution":"","isAcceptedByJournal":false,"isAuthorSuppliedPdf":true,"isDeskRejected":"","isHiddenFromSearch":false,"isInQc":false,"isInWorkflow":false,"isPdf":true,"isPdfUpToDate":true,"isWithdrawnOrRetracted":false,"journal":{"display":true,"email":"[email protected]","identity":"water-resources-management","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":false,"externalIdentity":"warm","sideBox":"Learn more about [Water Resources Management](https://www.springer.com/journal/11269)","snPcode":"11269","submissionUrl":"https://submission.nature.com/new-submission/11269/3","title":"Water Resources Management","twitterHandle":"","acdcEnabled":true,"dfaEnabled":true,"editorialSystem":"em","reportingPortfolio":"Springer Hybrid","inReviewEnabled":true,"inReviewRevisionsEnabled":false},"keywords":"dam-break flood, shallow water hydrodynamic equations, MUSCL-Hancock method, friction source term","lastPublishedDoi":"10.21203/rs.3.rs-8922661/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-8922661/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"\u003cp\u003eThis paper presents a new shallow water hydrodynamic model based on the finite volume MUSCL-Hancock method using a novel fully implicit friction source term discretization. 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