Nonlocal numerical simulation of thermoelectric coupling field by using peridynamic differential operator

Nonlocal numerical simulation of thermoelectric coupling field by using peridynamic differential operator | 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 Nonlocal numerical simulation of thermoelectric coupling field by using peridynamic differential operator Hongji Zhu, Jia Yu, Qingshan Zhu, Yang Li This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-4460392/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 study developed a novel nonlocal numerical model based on the peridynamic differential operator to analyze the thermoelectric coupling field. The thermoelectric coupling equations and boundary conditions are transformed from the classical partial differential form to the nonlocal integral form. By introducing the peridynamic function, a one-dimensional nonlocal model is established. This model can accurately capture the spatial distributions of the temperature field and material parameters when considering temperature-dependent thermoelectric material parameters. The numerical solutions from this nonlocal peridynamic model were found to agree well with those from the homotopy analysis method. Using this model, the influence of temperature boundary conditions and structure length on output performance is studied. The intrinsic relationship between the material parameters and the output properties within the structure is revealed. This presented nonlocal model provides an accurate mathematical tool to solve the thermoelectric coupling field for thermoelectric structures performance analysis. Thermoelectric coupling peridynamic differential operator numerical simulation nonlocal Full Text Additional Declarations No competing interests reported. Cite Share Download PDF Status: Under Review Version 1 posted Editorial decision: Revision requested 25 May, 2024 Editor assigned by journal 25 May, 2024 Submission checks completed at journal 23 May, 2024 First submitted to journal 22 May, 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. 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-4460392","acceptedTermsAndConditions":true,"allowDirectSubmit":false,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":306641228,"identity":"5ea1a56f-59a1-4eaf-895e-d63ed0d4a3ac","order_by":0,"name":"Hongji Zhu","email":"","orcid":"","institution":"Harbin Engineering University","correspondingAuthor":false,"prefix":"","firstName":"Hongji","middleName":"","lastName":"Zhu","suffix":""},{"id":306641229,"identity":"a3eaec96-5048-44aa-9159-aafabc33b16b","order_by":1,"name":"Jia Yu","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA30lEQVRIiWNgGAWjYBACAwYeIMkjwcAvwcAGETpArBbJGaRpATFuEKvFXPrsMWkeGQt549u9zx58bGOQ47uRwPi5AI8Wy768NGkeHgnDbXeOmxvObGMwlryRwCw9A5/DzvCYgbQwbruRxibN28aQuOFGAhszDxFa7DfPAGr528ZQT7SWxA0SQC2MbQwJBoS18CVbzuGRSJ5xI43dsOechOHMMw+bpfFr4T14421PnW0/0GEPfpTZyPMdTz74GZ8WIGCRYOyBcySAmLEBvwYGBuYPDD8IqRkFo2AUjIIRDQB7yUPmzkoRjgAAAABJRU5ErkJggg==","orcid":"","institution":"Harbin Engineering University","correspondingAuthor":true,"prefix":"","firstName":"Jia","middleName":"","lastName":"Yu","suffix":""},{"id":306641230,"identity":"e43bb052-cb91-4494-be60-bd3b1969e380","order_by":2,"name":"Qingshan Zhu","email":"","orcid":"","institution":"Harbin Engineering University","correspondingAuthor":false,"prefix":"","firstName":"Qingshan","middleName":"","lastName":"Zhu","suffix":""},{"id":306641231,"identity":"712e4793-5890-46ff-a772-65d152a0018c","order_by":3,"name":"Yang Li","email":"","orcid":"","institution":"Harbin Engineering University","correspondingAuthor":false,"prefix":"","firstName":"Yang","middleName":"","lastName":"Li","suffix":""}],"badges":[],"createdAt":"2024-05-22 10:59:43","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-4460392/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-4460392/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":57720219,"identity":"146a0aeb-dfe4-4317-9cad-ffc6386e6e0b","added_by":"auto","created_at":"2024-06-04 18:44:42","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":651370,"visible":true,"origin":"","legend":"","description":"","filename":"manuscript.pdf","url":"https://assets-eu.researchsquare.com/files/rs-4460392/v1_covered_10d36f8f-d150-4a0f-b232-d96b683d6307.pdf"}],"financialInterests":"No competing interests reported.","formattedTitle":"Nonlocal numerical simulation of thermoelectric coupling field by using peridynamic differential operator","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":"zeitschrift-fur-angewandte-mathematik-und-physik","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":false,"externalIdentity":"zamp","sideBox":"Learn more about [Zeitschrift für angewandte Mathematik und Physik](http://link.springer.com/journal/33)","snPcode":"33","submissionUrl":"https://submission.nature.com/new-submission/33/3","title":"Zeitschrift für angewandte Mathematik und Physik","twitterHandle":"","acdcEnabled":true,"dfaEnabled":true,"editorialSystem":"em","reportingPortfolio":"Springer Hybrid","inReviewEnabled":true,"inReviewRevisionsEnabled":false},"keywords":"Thermoelectric coupling, peridynamic differential operator, numerical simulation, nonlocal","lastPublishedDoi":"10.21203/rs.3.rs-4460392/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-4460392/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"\u003cp\u003eThis study developed a novel nonlocal numerical model based on the peridynamic differential operator to analyze the thermoelectric coupling field. 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