A Novel SPH-Based Efficient Adaptive Quadrilateral-Dominant Mesh Generation Method

A Novel SPH-Based Efficient Adaptive Quadrilateral-Dominant Mesh Generation Method | 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 Novel SPH-Based Efficient Adaptive Quadrilateral-Dominant Mesh Generation Method Yuefan Hu, Honglei Bai, Yufei Pang, Huaibao Zhang, Guangxue Wang, and 1 more This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-6754987/v1 This work is licensed under a CC BY 4.0 License Status: Published Journal Publication published 20 Aug, 2025 Read the published version in Engineering with Computers → Version 1 posted 11 You are reading this latest preprint version Abstract In this paper, we introduce a novel, SPH-based(Smoothed Particle Hydrodynamics), parallel adaptive quadrilateral-dominated mesh generation method. Building upon particle-based mesh generation techniques, we propose an innovative Adaptive Smoothing Length Smoothed Particle Hydrodynamics (ASL-SPH) Method utilizing the L ∞ norm metric to enhance particle relaxation. The core concept leverages the square characteristic of the L ∞ norm's unit circle to facilitate the construction of high-quality quadrilateral meshes. The algorithm comprises three primary stages: (1) computation of the initial adaptive particle distribution based on target size and density fields; (2) GPU-accelerated particle relaxation guided by a direction field, employing the proposed ASL-SPH grounded in the L ∞ norm metric; and (3) establishment of topological connections among particles to generate a quadrilateral-dominated mesh. Numerical experiments validate that the proposed method effectively generates high-quality quadrilateral-dominated meshes under complex boundary conditions. Furthermore, the integration of GPU parallel computing significantly enhances the algorithm's efficiency. Quadrilateral-Dominant Mesh Smoothed Particle Hydrodynamics GPU parallel Particle-Based Mesh Generation L∞ Norm Metric Full Text Additional Declarations No competing interests reported. Cite Share Download PDF Status: Published Journal Publication published 20 Aug, 2025 Read the published version in Engineering with Computers → Version 1 posted Editorial decision: Revision requested 30 Jun, 2025 Reviews received at journal 30 Jun, 2025 Reviewers agreed at journal 30 Jun, 2025 Reviews received at journal 30 Jun, 2025 Reviewers agreed at journal 29 May, 2025 Reviews received at journal 28 May, 2025 Reviewers agreed at journal 27 May, 2025 Reviewers invited by journal 27 May, 2025 Editor assigned by journal 27 May, 2025 Submission checks completed at journal 27 May, 2025 First submitted to journal 26 May, 2025 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-6754987","acceptedTermsAndConditions":true,"allowDirectSubmit":false,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":463197995,"identity":"a3904847-3dd1-45b0-a86c-62a4296d3901","order_by":0,"name":"Yuefan Hu","email":"","orcid":"","institution":"Sun Yat-sen University","correspondingAuthor":false,"prefix":"","firstName":"Yuefan","middleName":"","lastName":"Hu","suffix":""},{"id":463197996,"identity":"12d54509-7dae-4b34-ad83-8c79df6deb19","order_by":1,"name":"Honglei Bai","email":"","orcid":"","institution":"Sun Yat-sen University","correspondingAuthor":false,"prefix":"","firstName":"Honglei","middleName":"","lastName":"Bai","suffix":""},{"id":463197997,"identity":"61faa1d5-4962-4ac2-9b5d-5ea6d4328e37","order_by":2,"name":"Yufei Pang","email":"","orcid":"","institution":"China Aerodynamics Research and Development Center","correspondingAuthor":false,"prefix":"","firstName":"Yufei","middleName":"","lastName":"Pang","suffix":""},{"id":463197998,"identity":"b3b3bbf4-1d19-45dc-979b-3fadfbde956f","order_by":3,"name":"Huaibao Zhang","email":"","orcid":"","institution":"Sun Yat-sen University","correspondingAuthor":false,"prefix":"","firstName":"Huaibao","middleName":"","lastName":"Zhang","suffix":""},{"id":463197999,"identity":"c13691f4-86aa-4274-9a41-18934a39b120","order_by":4,"name":"Guangxue Wang","email":"","orcid":"","institution":"Sun Yat-sen University","correspondingAuthor":false,"prefix":"","firstName":"Guangxue","middleName":"","lastName":"Wang","suffix":""},{"id":463198000,"identity":"c273cc17-81e9-4916-b8fe-9e53c1928b1d","order_by":5,"name":"Chunguang Xu","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA+klEQVRIiWNgGAWjYHACNgbGPzYMDMzMDTARAyK0NKQBtTCSpuUwkCZWi8GN5GcPv+44H83fztjA+LOtLrGBvXmbBEPNHZxaJGekmRvLnrmdO+MwYwMzb9vhxAaeY2USDMee4dTCL5HDJi3Bdju3AaSFse1AYoNEjpkExKk4PALRci53/mGYw+Tf4NcCskXyY9uB3A1ALQy8bcxAW3jwa5HseWYmzXAmOXcjUMthnnOHjdt40ootEo7h1mJwPPmZ5I8Ku9x55w8ffPijrE62n/3wxhsfanBrAQFmHijjACMbKJqAIAGvBmAc/oAz/xBQOgpGwSgYBSMSAADhzlUr6XOGzgAAAABJRU5ErkJggg==","orcid":"","institution":"Sun Yat-sen University","correspondingAuthor":true,"prefix":"","firstName":"Chunguang","middleName":"","lastName":"Xu","suffix":""}],"badges":[],"createdAt":"2025-05-27 03:38:17","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-6754987/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-6754987/v1","draftVersion":[],"editorialEvents":[{"content":"https://doi.org/10.1007/s00366-025-02194-0","type":"published","date":"2025-08-20T16:20:58+00:00"}],"editorialNote":"","failedWorkflow":false,"files":[{"id":89847199,"identity":"91470d01-70ad-4872-946a-6ac284097b5e","added_by":"auto","created_at":"2025-08-25 16:41:57","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":5254077,"visible":true,"origin":"","legend":"","description":"","filename":"QuadDominantMeshGeneration.pdf","url":"https://assets-eu.researchsquare.com/files/rs-6754987/v1_covered_00e413de-b021-48f6-85ab-d73f586af55f.pdf"}],"financialInterests":"No competing interests reported.","formattedTitle":"A Novel SPH-Based Efficient Adaptive Quadrilateral-Dominant Mesh Generation Method","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":"engineering-with-computers","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":false,"externalIdentity":"ewco","sideBox":"Learn more about [Engineering with Computers](http://link.springer.com/journal/366)","snPcode":"366","submissionUrl":"https://submission.nature.com/new-submission/366/3","title":"Engineering with Computers","twitterHandle":"","acdcEnabled":true,"dfaEnabled":true,"editorialSystem":"stoa","reportingPortfolio":"Springer Hybrid","inReviewEnabled":true,"inReviewRevisionsEnabled":false},"keywords":"Quadrilateral-Dominant Mesh, Smoothed Particle Hydrodynamics, GPU parallel, Particle-Based Mesh Generation, L∞ Norm Metric","lastPublishedDoi":"10.21203/rs.3.rs-6754987/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-6754987/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"\u003cp\u003eIn this paper, we introduce a novel, SPH-based(Smoothed Particle Hydrodynamics), parallel adaptive quadrilateral-dominated mesh generation method. Building upon particle-based mesh generation techniques, we propose an innovative Adaptive Smoothing Length Smoothed Particle Hydrodynamics (ASL-SPH) Method utilizing the \u003cem\u003e\u003cstrong\u003eL\u003c/strong\u003e\u003c/em\u003e\u003csub\u003e\u003cem\u003e\u003cstrong\u003e∞\u003c/strong\u003e\u003c/em\u003e\u003c/sub\u003e norm metric to enhance particle relaxation. The core concept leverages the square characteristic of the \u003cem\u003e\u003cstrong\u003eL\u003c/strong\u003e\u003c/em\u003e\u003csub\u003e\u003cem\u003e\u003cstrong\u003e∞\u003c/strong\u003e\u003c/em\u003e\u003c/sub\u003e norm's unit circle to facilitate the construction of high-quality quadrilateral meshes. The algorithm comprises three primary stages: (1) computation of the initial adaptive particle distribution based on target size and density fields; (2) GPU-accelerated particle relaxation guided by a direction field, employing the proposed ASL-SPH grounded in the \u003cem\u003e\u003cstrong\u003eL\u003c/strong\u003e\u003c/em\u003e\u003csub\u003e\u003cem\u003e\u003cstrong\u003e∞\u003c/strong\u003e\u003c/em\u003e\u003c/sub\u003e norm metric; and (3) establishment of topological connections among particles to generate a quadrilateral-dominated mesh. Numerical experiments validate that the proposed method effectively generates high-quality quadrilateral-dominated meshes under complex boundary conditions. Furthermore, the integration of GPU parallel computing significantly enhances the algorithm's efficiency.\u003c/p\u003e","manuscriptTitle":"A Novel SPH-Based Efficient Adaptive Quadrilateral-Dominant Mesh Generation Method","msid":"","msnumber":"","nonDraftVersions":[{"code":1,"date":"2025-05-29 08:44:47","doi":"10.21203/rs.3.rs-6754987/v1","editorialEvents":[{"type":"communityComments","content":0},{"type":"decision","content":"Revision requested","date":"2025-06-30T15:43:12+00:00","index":"","fulltext":""},{"type":"editorInvitedReview","content":"","date":"2025-06-30T15:41:47+00:00","index":"hide","fulltext":""},{"type":"reviewerAgreed","content":"9355774064792747321268247269087469247","date":"2025-06-30T15:40:06+00:00","index":"hide","fulltext":""},{"type":"editorInvitedReview","content":"","date":"2025-06-30T12:55:30+00:00","index":"hide","fulltext":""},{"type":"reviewerAgreed","content":"161758152741724421036928808305349663107","date":"2025-05-29T16:30:25+00:00","index":"hide","fulltext":""},{"type":"editorInvitedReview","content":"","date":"2025-05-28T15:51:46+00:00","index":"hide","fulltext":""},{"type":"reviewerAgreed","content":"113237889263251024693296175992177395415","date":"2025-05-27T15:12:12+00:00","index":"hide","fulltext":""},{"type":"reviewersInvited","content":"","date":"2025-05-27T14:51:57+00:00","index":"","fulltext":""},{"type":"editorAssigned","content":"","date":"2025-05-27T14:32:50+00:00","index":"","fulltext":""},{"type":"checksComplete","content":"","date":"2025-05-27T09:30:00+00:00","index":"","fulltext":""},{"type":"submitted","content":"Engineering with Computers","date":"2025-05-27T03:31:12+00:00","index":"","fulltext":""}],"status":"published","journal":{"display":true,"email":"[email protected]","identity":"engineering-with-computers","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":false,"externalIdentity":"ewco","sideBox":"Learn more about [Engineering with Computers](http://link.springer.com/journal/366)","snPcode":"366","submissionUrl":"https://submission.nature.com/new-submission/366/3","title":"Engineering with Computers","twitterHandle":"","acdcEnabled":true,"dfaEnabled":true,"editorialSystem":"stoa","reportingPortfolio":"Springer Hybrid","inReviewEnabled":true,"inReviewRevisionsEnabled":false}}],"origin":"","ownerIdentity":"b25ab0da-b8f7-4e74-8d5a-4842a163588a","owner":[],"postedDate":"May 29th, 2025","published":true,"recentEditorialEvents":[],"rejectedJournal":[],"revision":"","amendment":"","status":"published-in-journal","subjectAreas":[],"tags":[],"updatedAt":"2025-08-25T16:35:22+00:00","versionOfRecord":{"articleIdentity":"rs-6754987","link":"https://doi.org/10.1007/s00366-025-02194-0","journal":{"identity":"engineering-with-computers","isVorOnly":false,"title":"Engineering with Computers"},"publishedOn":"2025-08-20 16:20:58","publishedOnDateReadable":"August 20th, 2025"},"versionCreatedAt":"2025-05-29 08:44:47","video":"","vorDoi":"10.1007/s00366-025-02194-0","vorDoiUrl":"https://doi.org/10.1007/s00366-025-02194-0","workflowStages":[]},"version":"v1","identity":"rs-6754987","journalConfig":"researchsquare"},"__N_SSP":true},"page":"/article/[identity]/[[...version]]","query":{"redirect":"/article/rs-6754987","identity":"rs-6754987","version":["v1"]},"buildId":"8U1c8b4HqxoKbykW_rLl7","isFallback":false,"isExperimentalCompile":false,"dynamicIds":[84888],"gssp":true,"scriptLoader":[]}