{"@context":"http://iiif.io/api/presentation/2/context.json","@id":"https://repo.library.stonybrook.edu/cantaloupe/iiif/2/manifest.json","@type":"sc:Manifest","label":"Rayleigh-Taylor Turbulent Mixing \nSimulations","metadata":[{"label":"dc.description.sponsorship","value":"This work is sponsored by the Stony Brook University Graduate School in compliance with the requirements for completion of degree."},{"label":"dc.format","value":"Monograph"},{"label":"dc.format.medium","value":"Electronic Resource"},{"label":"dc.identifier.uri","value":"http://hdl.handle.net/11401/71285"},{"label":"dc.language.iso","value":"en_US"},{"label":"dc.publisher","value":"The Graduate School, Stony Brook University: Stony Brook, NY."},{"label":"dcterms.abstract","value":"We study the \nRayleigh-Taylor mixing layer, presenting on simulations in agreement with experimental data. This problem is an \nidealized subproblem of important scientific and engineering problems, for example the gravitationally induced mixing \nin oceanography and performance assessment for inertial confinement fusion. Engineering codes commonly achieve \ncorrect simulations through the calibration of adjustable parameters. In this sense, they are interpolative and not \npredictive. As computational science moves from the interpolative to the predictive and reduces the reliance on \nexperiment the quality of decision making improves. The diagnosis of errors in a multiparameter, multiphysics setting \nis daunting, so we address this issue in the proposed idealized setting. The validation tests presented are then a \ntest for engineering codes, when used for complex problems containing Rayleigh-Taylor features. The Rayleigh-Taylor \ngrowth rate, characterized by a dimensionless but non-universal parameter and alpha, describes the outer edge of the \nmixing zone. Increasingly accurate Front Tracking/LES simulations reveal non-universality of the growth rate and \nagreement with experimental data. Increased mesh resolution allows reduction in the role of key subgrid models. We \nstudy the effect of long wavelength perturbations on the mixing growth rate. A self-similar power law for the initial \nperturbation amplitudes is here inferred from experimental data. We show a maximum \u00b15 % effect on the \ngrowth \nrate. Large (factors of 2) effects, as predicted in some models and many simulations, are inconsistent with \nexperimental data of Youngs and co-authors. The inconsistency of the model lies in the treatment of the dynamics of \nthe bubbles, which are the shortest wavelength modes for this problem. An alternate theory for this shortest \nwavelength, based on the bubble merger model, was previously shown to be consistent with experimental data. Turbulent \nmixing at the molecular level and turbulent combustion are remaining challenges for turbulent mixing studies. \nTheoretical studies suggest that convergence of numerical solutions, considered within an LES regime, is to a space \ntime dependent probability distributions (Young measures). This point of view is proposed for the study of \nmicro-observables, which describe the molecular mixing rate. New results comparing our simulations to experimentally \nobserved molecular mixing rates are reported."},{"label":"dcterms.available","value":"2015-04-24T14:46:53Z"},{"label":"dcterms.contributor","value":"Glimm, James"},{"label":"dcterms.creator","value":"Kaman, Tulin"},{"label":"dcterms.dateAccepted","value":"2013-05-22T17:34:52Z"},{"label":"dcterms.dateSubmitted","value":"2015-04-24T14:46:53Z"},{"label":"dcterms.description","value":"Department \nof Applied Mathematics and Statistics"},{"label":"dcterms.extent","value":"86 pg."},{"label":"dcterms.format","value":"Monograph"},{"label":"dcterms.identifier","value":"http://hdl.handle.net/11401/71285"},{"label":"dcterms.issued","value":"2012-08-01"},{"label":"dcterms.language","value":"en_US"},{"label":"dcterms.provenance","value":"Made available in DSpace on 2015-04-24T14:46:53Z (GMT). No. of bitstreams: 3\nKaman_grad.sunysb_0771E_11079.pdf.jpg: 1894 bytes, checksum: a6009c46e6ec8251b348085684cba80d (MD5)\nKaman_grad.sunysb_0771E_11079.pdf.txt: 98080 bytes, checksum: 5e8ec7767bd512a45863b0d4f8e2b234 (MD5)\nKaman_grad.sunysb_0771E_11079.pdf: 1319162 bytes, checksum: 4cb369003ffbd988c21c5dc82b363d3b (MD5)\n  Previous issue date:    1"},{"label":"dcterms.publisher","value":"The Graduate School, Stony Brook University: Stony Brook, NY."},{"label":"dcterms.subject","value":"Applied \nmathematics"},{"label":"dcterms.title","value":"Rayleigh-Taylor Turbulent Mixing \nSimulations"},{"label":"dcterms.type","value":"Dissertation"},{"label":"dc.type","value":"Dissertation"}],"description":"This manifest was generated dynamically","viewingDirection":"left-to-right","sequences":[{"@type":"sc:Sequence","canvases":[{"@id":"https://repo.library.stonybrook.edu/cantaloupe/iiif/2/canvas/page-1.json","@type":"sc:Canvas","label":"Page 1","height":1650,"width":1275,"images":[{"@type":"oa:Annotation","motivation":"sc:painting","resource":{"@id":"https://repo.library.stonybrook.edu/cantaloupe/iiif/2/67%2F86%2F00%2F67860016766851438681955412486948573226/full/full/0/default.jpg","@type":"dctypes:Image","format":"image/jpeg","height":1650,"width":1275,"service":{"@context":"http://iiif.io/api/image/2/context.json","@id":"https://repo.library.stonybrook.edu/cantaloupe/iiif/2/67%2F86%2F00%2F67860016766851438681955412486948573226","profile":"http://iiif.io/api/image/2/level2.json"}},"on":"https://repo.library.stonybrook.edu/cantaloupe/iiif/2/canvas/page-1.json"}]}]}]}