The Full non-linear Vortex Tube-Vorton Method: the pre-stall condition

The Full non-linear Vortex Tube-Vorton Method: the pre-stall condition | 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 Full non-linear Vortex Tube-Vorton Method: the pre-stall condition Jesus Carlos Pimentel-Garcia This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-3168741/v1 This work is licensed under a CC BY 4.0 License Status: Published Journal Publication published 17 Apr, 2024 Read the published version in Advances in Aerodynamics → Version 1 posted You are reading this latest preprint version Abstract The present hybrid vortex tube-vorton method is based entirely on the Full Multi-wake Vortex Lattice Method (FMVLM) concepts, it means, by detaching vorticity, with precise vortex strength and orientation, along all separation lines between each discretized element of a shell-body, including all external edges. Since the Vortex Particle Method (VPM) is unstable by itself due to it does not conserve the total amount of circulation as time evolves (Kelvin’s circulation theorem), a Vortex (regularized) Filament Method (VFM) approach is implemented to obtain advection of vorticity, while the induced velocity field is obtained through its corresponding full vorton cloud. Further, a novel vortex squeezing/stretching scheme for such vortex cylinder-sphere approach is proposed based on variation in time for vortex volumes in order to conserve both circulation and vorticity at each time step (for each detached vortex element), while the viscous effect can be accounted for via the Core Spreading Method (CSM). Aeronautics and Astronautics Software Engineering Vortex Methods Vortex Filament Method Vorton Method meshless methods detached flow low aspect ratio aerodynamics Full Text Supplementary Files PimentelFTVMvxstret.xlsx Spreadsheet for verification of Appendix A Cite Share Download PDF Status: Published Journal Publication published 17 Apr, 2024 Read the published version in Advances in Aerodynamics → Version 1 posted 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. Our growing team is made up of researchers and industry professionals working together to solve the most critical problems facing scientific publishing. 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-3168741","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":218451413,"identity":"5a5860ef-3198-4187-91da-4f24b5c914bc","order_by":0,"name":"Jesus Carlos Pimentel-Garcia","email":"data:image/png;base64,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","orcid":"https://orcid.org/0000-0002-0995-3217","institution":"Polytechnic University of Catalonia","correspondingAuthor":true,"prefix":"","firstName":"Jesus","middleName":"Carlos","lastName":"Pimentel-Garcia","suffix":""}],"badges":[],"createdAt":"2023-07-14 01:47:27","currentVersionCode":1,"declarations":{"humanSubjects":false,"vertebrateSubjects":false,"conflictsOfInterestStatement":true,"humanSubjectEthicalGuidelines":false,"humanSubjectConsent":false,"humanSubjectClinicalTrial":false,"humanSubjectCaseReport":false,"vertebrateSubjectEthicalGuidelines":false,"coiExplicitlySet":false},"doi":"10.21203/rs.3.rs-3168741/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-3168741/v1","draftVersion":[],"editorialEvents":[{"content":"https://doi.org/10.1186/s42774-023-00168-8","type":"published","date":"2024-04-18T00:00:00+00:00"}],"editorialNote":"","failedWorkflow":false,"files":[{"id":55239846,"identity":"2c5a379e-500b-41f7-901a-31a4063c0b33","added_by":"auto","created_at":"2024-04-24 14:47:59","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":1604019,"visible":true,"origin":"","legend":"","description":"","filename":"PimentelFTVMAiA.pdf","url":"https://assets-eu.researchsquare.com/files/rs-3168741/v1_covered_ca9d21e0-3eb5-4073-829f-ebf0ac68e416.pdf"},{"id":40054985,"identity":"8a4fef57-facf-46bf-9af5-ce8893b5af5f","added_by":"auto","created_at":"2023-07-14 18:53:50","extension":"xlsx","order_by":1,"title":"","display":"","copyAsset":false,"role":"supplement","size":59417,"visible":true,"origin":"","legend":"\u003cp\u003eSpreadsheet for verification of Appendix A\u003c/p\u003e","description":"","filename":"PimentelFTVMvxstret.xlsx","url":"https://assets-eu.researchsquare.com/files/rs-3168741/v1/6d67e50ed7c6e1a253a51a66.xlsx"}],"financialInterests":"","formattedTitle":"\u003cp\u003eThe Full non-linear Vortex Tube-Vorton Method: the pre-stall condition\u003c/p\u003e","fulltext":[],"fulltextSource":"","fullText":"","funders":[],"hasAdminPriorityOnWorkflow":false,"hasManuscriptDocX":false,"hasOptedInToPreprint":true,"hasPassedJournalQc":"","hasAnyPriority":true,"hideJournal":false,"highlight":"","institution":"National Council for Science and Technology of Mexico","isAcceptedByJournal":true,"isAuthorSuppliedPdf":true,"isDeskRejected":"","isHiddenFromSearch":false,"isInQc":false,"isInWorkflow":false,"isPdf":true,"isPdfUpToDate":true,"isWithdrawnOrRetracted":false,"journal":{"display":true,"email":"[email protected]","identity":"researchsquare","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":true,"externalIdentity":"","sideBox":"","snPcode":"","submissionUrl":"/submission","title":"Research Square","twitterHandle":"researchsquare","acdcEnabled":true,"dfaEnabled":false,"editorialSystem":"","reportingPortfolio":"","inReviewEnabled":false,"inReviewRevisionsEnabled":true},"keywords":"Vortex Methods, Vortex Filament Method, Vorton Method, meshless methods, detached flow, low aspect ratio aerodynamics","lastPublishedDoi":"10.21203/rs.3.rs-3168741/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-3168741/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"\u003cp\u003eThe present hybrid vortex tube-vorton method is based entirely on the Full Multi-wake Vortex Lattice Method (FMVLM) concepts, it means, by detaching vorticity, with precise vortex strength and orientation, along all separation lines between each discretized element of a shell-body, including all external edges. Since the Vortex Particle Method (VPM) is unstable by itself due to it does not conserve the total amount of circulation as time evolves (Kelvin’s circulation theorem), a Vortex (regularized) Filament Method (VFM) approach is implemented to obtain advection of vorticity, while the induced velocity field is obtained through its corresponding full vorton cloud. Further, a novel vortex squeezing/stretching scheme for such vortex cylinder-sphere approach is proposed based on variation in time for vortex volumes in order to conserve both circulation and vorticity at each time step (for each detached vortex element), while the viscous effect can be accounted for via the Core Spreading Method (CSM).\u003c/p\u003e","manuscriptTitle":"The Full non-linear Vortex Tube-Vorton Method: the pre-stall condition","msid":"","msnumber":"","nonDraftVersions":[{"code":1,"date":"2023-07-14 18:53:46","doi":"10.21203/rs.3.rs-3168741/v1","editorialEvents":[{"type":"communityComments","content":0}],"status":"published","journal":{"display":true,"email":"[email protected]","identity":"researchsquare","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":true,"externalIdentity":"","sideBox":"","snPcode":"","submissionUrl":"/submission","title":"Research Square","twitterHandle":"researchsquare","acdcEnabled":true,"dfaEnabled":false,"editorialSystem":"","reportingPortfolio":"","inReviewEnabled":false,"inReviewRevisionsEnabled":true}}],"origin":"","ownerIdentity":"51068387-a5d6-4c84-94e1-c4fedce12e7c","owner":[],"postedDate":"July 14th, 2023","published":true,"recentEditorialEvents":[],"rejectedJournal":[],"revision":"","amendment":"","status":"published-in-journal","subjectAreas":[{"id":23246302,"name":"Aeronautics and Astronautics"},{"id":23246303,"name":"Software Engineering"}],"tags":[],"updatedAt":"2024-04-24T14:47:49+00:00","versionOfRecord":{"articleIdentity":"rs-3168741","link":"https://doi.org/10.1186/s42774-023-00168-8","journal":{"identity":"advances-in-aerodynamics","isVorOnly":false,"title":"Advances in Aerodynamics"},"publishedOn":"2024-04-18 00:00:00","publishedOnDateReadable":"April 18th, 2024"},"versionCreatedAt":"2023-07-14 18:53:46","video":"","vorDoi":"10.1186/s42774-023-00168-8","vorDoiUrl":"https://doi.org/10.1186/s42774-023-00168-8","workflowStages":[]},"version":"v1","identity":"rs-3168741","journalConfig":"researchsquare"},"__N_SSP":true},"page":"/article/[identity]/[[...version]]","query":{"redirect":"/article/rs-3168741","identity":"rs-3168741","version":["v1"]},"buildId":"_2-kVJe1T_tPrBINL-cwx","isFallback":false,"isExperimentalCompile":false,"dynamicIds":[84888],"gssp":true,"scriptLoader":[]}