Two-dimensional manifold model applied to multi-regime combustion using In-Situ Adaptive Manifolds

Two-dimensional manifold model applied to multi-regime combustion using In-Situ Adaptive Manifolds | 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 Two-dimensional manifold model applied to multi-regime combustion using In-Situ Adaptive Manifolds Anurag Surapaneni, Daniel Mira, Michael Mueller This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-9280845/v1 This work is licensed under a CC BY 4.0 License Status: Under Review Version 1 posted 8 You are reading this latest preprint version Abstract The Darmstadt Multi-Regime Burner (MRB) is modelled using a multi-modal manifold-based combustion model with Large Eddy Simulation (LES). The MRB26b operating condition is chosen due to its multi-regime behaviour. The multi-modal combustion model is implemented using the In-Situ Adaptive Manifolds (ISAM) computational approach, combining a two-dimensional multi-modal manifold solver in mixture fraction and generalised progress variable with In-Situ Adaptive Tabulation (ISAT). While previous studies using the multi-modal manifold model showcased its potential to be applied to multi-regime combustion problems, the current study extends the model framework by including a non-linear generalised progress variable definition , which ensures exact recovery of the non-premixed combustion limit and consideration of the cross-scalar dissipation rate. Mean and RMS quantities are compared with experimental data, demonstrating accurate capturing of the multi-regime flame structure. The analysis includes scatter plots of key species (CO and H 2 ), known indicators for multi-regime combustion, and are used to discuss deviations from the traditional uni-manifold methods based on premixed combustion. The effect of the inclusion of the mixture fraction dissipation rate χ ZZ is quantified by comparing one-dimensional (in generalised progress variable) and two-dimensional manifold solutions at the same generalised progress variable dissipation rates. Larger deviations from premixed combustion occur at higher values of χ ZZ and states closer to chemical equilibrium. The region influenced by χ ZZ is determined geometrically and was found to be close to the inlets. The multi-modal manifold implemented with ISAM is demonstrated to be an attractive alternative to conventional tabulated chemistry methods using premixed or non-premixed flamelets for handling multi-regime combustion problems with minimal impact on the computational cost. manifold model multi-regime combustion Large Eddy Simulation (LES) Multi-Regime Burner (MRB) Full Text Additional Declarations No competing interests reported. Cite Share Download PDF Status: Under Review Version 1 posted Reviewers agreed at journal 11 May, 2026 Reviewers agreed at journal 10 May, 2026 Reviews received at journal 09 May, 2026 Reviewers agreed at journal 17 Apr, 2026 Reviewers invited by journal 16 Apr, 2026 Editor assigned by journal 08 Apr, 2026 Submission checks completed at journal 08 Apr, 2026 First submitted to journal 31 Mar, 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. 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-9280845","acceptedTermsAndConditions":true,"allowDirectSubmit":false,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":626044345,"identity":"c769a1e8-7784-49bc-8c94-85bbf37129ce","order_by":0,"name":"Anurag Surapaneni","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAABA0lEQVRIiWNgGAWjYEgANvYekrXwnCHZGokc/PL8s3vMPvz4xWBvcPvwswc/d9jk8Um+PfzhB4ONPU4j75wxntnbx5C44VyauWHvmbRiNum8NMkehrTEBlx6buQYM/D2MCQYnGEwk+BtO5zYJp1jxszAcDgBlw55oBbGvz1Ah51h/yb5t+1/YpvkGePPDAz/cTrMAKiFmecHA+OGMzxm0rxtBxLbJHgMpBkYDjDicpjhjbRiZtkGicSZZ3jKjWXbkhPbeEB+MUjG6Re5G8mbGd/8sbHnO8O+7eHbNrvE+e1ngSFWYYfTYWDA2CYBotiQHYxXAxD8YUDXMgpGwSgYBaMAAQAhD1LoPEDFjgAAAABJRU5ErkJggg==","orcid":"","institution":"Barcelona Supercomputing Center","correspondingAuthor":true,"prefix":"","firstName":"Anurag","middleName":"","lastName":"Surapaneni","suffix":""},{"id":626044348,"identity":"717a53f7-9bc9-4228-938c-37b58cbd83d6","order_by":1,"name":"Daniel Mira","email":"","orcid":"","institution":"Barcelona Supercomputing Center","correspondingAuthor":false,"prefix":"","firstName":"Daniel","middleName":"","lastName":"Mira","suffix":""},{"id":626044363,"identity":"20530d92-0c11-41d8-84d1-3599ee43d26b","order_by":2,"name":"Michael Mueller","email":"","orcid":"","institution":"Princeton University","correspondingAuthor":false,"prefix":"","firstName":"Michael","middleName":"","lastName":"Mueller","suffix":""}],"badges":[],"createdAt":"2026-03-31 13:55:12","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-9280845/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-9280845/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":107705955,"identity":"ddb941d7-f26c-48c1-9ed0-b9be217fc599","added_by":"auto","created_at":"2026-04-24 09:15:52","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":1970499,"visible":true,"origin":"","legend":"","description":"","filename":"mrbaecsapril7.pdf","url":"https://assets-eu.researchsquare.com/files/rs-9280845/v1_covered_38cacd35-abc4-48f7-a128-d23b79dd39d8.pdf"}],"financialInterests":"No competing interests reported.","formattedTitle":"Two-dimensional manifold model applied to multi-regime combustion using In-Situ Adaptive Manifolds","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":"flow-turbulence-and-combustion","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":false,"externalIdentity":"appl","sideBox":"Learn more about [Flow, Turbulence and Combustion](http://link.springer.com/journal/10494)","snPcode":"10494","submissionUrl":"https://submission.nature.com/new-submission/10494/3","title":"Flow, Turbulence and Combustion","twitterHandle":"","acdcEnabled":true,"dfaEnabled":true,"editorialSystem":"em","reportingPortfolio":"Springer Hybrid","inReviewEnabled":true,"inReviewRevisionsEnabled":false},"keywords":"manifold model, multi-regime combustion, Large Eddy Simulation (LES), Multi-Regime Burner (MRB)","lastPublishedDoi":"10.21203/rs.3.rs-9280845/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-9280845/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"\u003cp\u003eThe Darmstadt Multi-Regime Burner (MRB) is modelled using a multi-modal manifold-based combustion model with Large Eddy Simulation (LES). The MRB26b operating condition is chosen due to its multi-regime behaviour. The multi-modal combustion model is implemented using the In-Situ Adaptive Manifolds (ISAM) computational approach, combining a two-dimensional multi-modal manifold solver in mixture fraction and generalised progress variable with In-Situ Adaptive Tabulation (ISAT). While previous studies using the multi-modal manifold model showcased its potential to be applied to multi-regime combustion problems, the current study extends the model framework by including a non-linear generalised progress variable definition , which ensures exact recovery of the non-premixed combustion limit and consideration of the cross-scalar dissipation rate. Mean and RMS quantities are compared with experimental data, demonstrating accurate capturing of the multi-regime flame structure. The analysis includes scatter plots of key species (CO and H\u003csub\u003e2\u003c/sub\u003e), known indicators for multi-regime combustion, and are used to discuss deviations from the traditional uni-manifold methods based on premixed combustion. The effect of the inclusion of the mixture fraction dissipation rate χ ZZ is quantified by comparing one-dimensional (in generalised progress variable) and two-dimensional manifold solutions at the same generalised progress variable dissipation rates. Larger deviations from premixed combustion occur at higher values of χ ZZ and states closer to chemical equilibrium. The region influenced by χ ZZ is determined geometrically and was found to be close to the inlets. The multi-modal manifold implemented with ISAM is demonstrated to be an attractive alternative to conventional tabulated chemistry methods using premixed or non-premixed flamelets for handling multi-regime combustion problems with minimal impact on the computational cost.\u003c/p\u003e","manuscriptTitle":"Two-dimensional manifold model applied to multi-regime combustion using In-Situ Adaptive Manifolds","msid":"","msnumber":"","nonDraftVersions":[{"code":1,"date":"2026-04-22 09:05:49","doi":"10.21203/rs.3.rs-9280845/v1","editorialEvents":[{"type":"communityComments","content":0},{"type":"reviewerAgreed","content":"100645085324094592158385432386242197362","date":"2026-05-11T06:56:16+00:00","index":"hide","fulltext":""},{"type":"reviewerAgreed","content":"149050360592252989886433887047121576470","date":"2026-05-10T15:49:11+00:00","index":"hide","fulltext":""},{"type":"editorInvitedReview","content":"","date":"2026-05-09T20:40:25+00:00","index":"hide","fulltext":""},{"type":"reviewerAgreed","content":"220099291180295920413773724626623981005","date":"2026-04-17T09:25:44+00:00","index":"hide","fulltext":""},{"type":"reviewersInvited","content":"","date":"2026-04-16T13:01:44+00:00","index":"","fulltext":""},{"type":"editorAssigned","content":"","date":"2026-04-08T07:44:26+00:00","index":"","fulltext":""},{"type":"checksComplete","content":"","date":"2026-04-08T05:18:23+00:00","index":"","fulltext":""},{"type":"submitted","content":"Flow, Turbulence and Combustion","date":"2026-03-31T13:38:25+00:00","index":"","fulltext":""}],"status":"published","journal":{"display":true,"email":"[email protected]","identity":"flow-turbulence-and-combustion","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":false,"externalIdentity":"appl","sideBox":"Learn more about [Flow, Turbulence and Combustion](http://link.springer.com/journal/10494)","snPcode":"10494","submissionUrl":"https://submission.nature.com/new-submission/10494/3","title":"Flow, Turbulence and Combustion","twitterHandle":"","acdcEnabled":true,"dfaEnabled":true,"editorialSystem":"em","reportingPortfolio":"Springer Hybrid","inReviewEnabled":true,"inReviewRevisionsEnabled":false}}],"origin":"","ownerIdentity":"627364ac-3ec7-47d7-8946-4b06f8711e78","owner":[],"postedDate":"April 22nd, 2026","published":true,"recentEditorialEvents":[{"type":"reviewerAgreed","content":"100645085324094592158385432386242197362","date":"2026-05-11T06:56:16+00:00","index":19,"fulltext":""},{"type":"reviewerAgreed","content":"149050360592252989886433887047121576470","date":"2026-05-10T15:49:11+00:00","index":18,"fulltext":""},{"type":"editorInvitedReview","content":"","date":"2026-05-09T20:40:25+00:00","index":17,"fulltext":""}],"rejectedJournal":[],"revision":"","amendment":"","status":"under-review","subjectAreas":[],"tags":[],"updatedAt":"2026-04-22T09:05:49+00:00","versionOfRecord":[],"versionCreatedAt":"2026-04-22 09:05:49","video":"","vorDoi":"","vorDoiUrl":"","workflowStages":[]},"version":"v1","identity":"rs-9280845","journalConfig":"researchsquare"},"__N_SSP":true},"page":"/article/[identity]/[[...version]]","query":{"redirect":"/article/rs-9280845","identity":"rs-9280845","version":["v1"]},"buildId":"XKTyCvWXoU3ODBz1xrDgd","isFallback":false,"isExperimentalCompile":false,"dynamicIds":[84888],"gssp":true,"scriptLoader":[]}