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[{"key": "dc.contributor.advisor", "value": "K\u00e4h\u00e4r\u00e4, Topi", "language": "", "element": "contributor", "qualifier": "advisor", "schema": "dc"}, {"key": "dc.contributor.advisor", "value": "Mattila, Keijo", "language": "", "element": "contributor", "qualifier": "advisor", "schema": "dc"}, {"key": "dc.contributor.author", "value": "Korhonen, Joonas", "language": null, "element": "contributor", "qualifier": "author", "schema": "dc"}, {"key": "dc.date.accessioned", "value": "2016-08-25T19:43:35Z", "language": "", "element": "date", "qualifier": "accessioned", "schema": "dc"}, {"key": "dc.date.available", "value": "2016-08-25T19:43:35Z", "language": "", "element": "date", "qualifier": "available", "schema": "dc"}, {"key": "dc.date.issued", "value": "2016", "language": null, "element": "date", "qualifier": "issued", "schema": "dc"}, {"key": "dc.identifier.other", "value": "oai:jykdok.linneanet.fi:1572598", "language": null, "element": "identifier", "qualifier": "other", "schema": "dc"}, {"key": "dc.identifier.uri", "value": "https://jyx.jyu.fi/handle/123456789/51066", "language": "", "element": "identifier", "qualifier": "uri", "schema": "dc"}, {"key": "dc.description.abstract", "value": "T\u00e4ss\u00e4 opinn\u00e4ytety\u00f6ss\u00e4 k\u00e4sittelemme Smoothed Particle Hydrodynamics -menetelm\u00e4\u00e4 (SPH) virtausmekaniikan simulaatioissa. Aluksi johdamme nesteen liikett\u00e4 kuvaavat differentiaaliyht\u00e4l\u00f6t. M\u00e4\u00e4rittelemme SPH:n diskreetit divergenssi-, gradientti- sek\u00e4 Laplace-operaattorit avaruuden diskretisoimiseksi. Lis\u00e4ksi tutkimme SPH:n toimivuutta rajoitetuissa virtauksissa ja esittelemme menetelmi\u00e4 rajoituksista seuraavien ongelmien korjaamiseksi tutkien erityisesti SPH:n renormalisaatiota. Lopulta k\u00e4sittelemme ajan diskretisointia, simulaatiototeutuksessa tarvittavia tietorakenteita ja reunaehtoja sek\u00e4 esittelemme simulaatiotuloksia sek\u00e4 analyyttisesti ratkeaville Couette- ja Poiseuille -virtauksille sek\u00e4 vertaamme hieman monimutkaisemman putkivirtauksen simulaatiotulosta \u00e4\u00e4rellisten elementtien menetelm\u00e4n tulokseen.", "language": "fi", "element": "description", "qualifier": "abstract", "schema": "dc"}, {"key": "dc.description.abstract", "value": "In this thesis we study the Smoothed Particle Hydrodynamics (SPH) method and its applicability for solving the equations of motion of fluid dynamics. First we derive these equations of motion and then study ways to discretise the divergence, gradient and Laplace operators in them using SPH. Next we tackle the problems which are induced by introducing restrictions to the space in which the fluid flows. We study several solutions to these problems, focusing mainly on an elegant and simple solution, the renormalisation of the SPH. Finally we represent simulation results achieved using the renormalisation and compare them to analytical results and to finite element method results.", "language": "en", "element": "description", "qualifier": "abstract", "schema": "dc"}, {"key": "dc.description.provenance", "value": "Submitted using Plone Publishing form by Joonas Korhonen (joeekorh) on 2016-08-25 19:43:34.741220. Form: Pro gradu -lomake (https://kirjasto.jyu.fi/julkaisut/julkaisulomakkeet/pro-gradu-lomake). JyX data: [jyx_publishing-allowed (fi) =True]", "language": "en", "element": "description", "qualifier": "provenance", "schema": "dc"}, {"key": "dc.description.provenance", "value": "Submitted by jyx lomake-julkaisija (jyx-julkaisija.group@korppi.jyu.fi) on 2016-08-25T19:43:35Z\r\nNo. of bitstreams: 2\r\nURN:NBN:fi:jyu-201608253884.pdf: 2182262 bytes, checksum: 3b56a71ea03396e4f0f993e3daadde67 (MD5)\r\nlicense.html: 4824 bytes, checksum: 9eaf8ad7bdbc7f2bbdcec5f13b8b2fb9 (MD5)", "language": "en", "element": "description", "qualifier": "provenance", "schema": "dc"}, {"key": "dc.description.provenance", "value": "Made available in DSpace on 2016-08-25T19:43:35Z (GMT). No. of bitstreams: 2\r\nURN:NBN:fi:jyu-201608253884.pdf: 2182262 bytes, checksum: 3b56a71ea03396e4f0f993e3daadde67 (MD5)\r\nlicense.html: 4824 bytes, checksum: 9eaf8ad7bdbc7f2bbdcec5f13b8b2fb9 (MD5)\r\n Previous issue date: 2016", "language": "en", "element": "description", "qualifier": "provenance", "schema": "dc"}, {"key": "dc.format.extent", "value": "1 verkkoaineisto (67 sivua)", "language": null, "element": "format", "qualifier": "extent", "schema": "dc"}, {"key": "dc.format.mimetype", "value": "application/pdf", "language": null, "element": "format", "qualifier": "mimetype", "schema": "dc"}, {"key": "dc.language.iso", "value": "fin", "language": null, "element": "language", "qualifier": "iso", "schema": "dc"}, {"key": "dc.rights", "value": "In Copyright", "language": "en", "element": "rights", "qualifier": null, "schema": "dc"}, {"key": "dc.subject.other", "value": "SPH", "language": null, "element": "subject", "qualifier": "other", "schema": "dc"}, {"key": "dc.subject.other", "value": "renormalisaatio", "language": null, "element": "subject", "qualifier": "other", "schema": "dc"}, {"key": "dc.subject.other", "value": "virtausmekaniikka", "language": null, "element": "subject", "qualifier": "other", "schema": "dc"}, {"key": "dc.title", "value": "Smoothed particle hydrodynamics virtausmekaniikan simulaatioissa", "language": null, "element": "title", "qualifier": null, "schema": "dc"}, {"key": "dc.type", "value": "master thesis", "language": null, "element": "type", "qualifier": null, "schema": "dc"}, {"key": "dc.identifier.urn", "value": "URN:NBN:fi:jyu-201608253884", "language": null, "element": "identifier", "qualifier": "urn", "schema": "dc"}, {"key": "dc.type.ontasot", "value": "Pro gradu -tutkielma", "language": "fi", "element": "type", "qualifier": "ontasot", "schema": "dc"}, {"key": "dc.type.ontasot", "value": "Master\u2019s thesis", "language": "en", "element": "type", "qualifier": "ontasot", "schema": "dc"}, {"key": "dc.contributor.faculty", "value": "Matemaattis-luonnontieteellinen tiedekunta", "language": "fi", "element": "contributor", "qualifier": "faculty", "schema": "dc"}, {"key": "dc.contributor.faculty", "value": "Faculty of Sciences", "language": "en", "element": "contributor", "qualifier": "faculty", "schema": "dc"}, {"key": "dc.contributor.department", "value": "Fysiikan laitos", "language": "fi", "element": "contributor", "qualifier": "department", "schema": "dc"}, {"key": "dc.contributor.department", "value": "Department of Physics", "language": "en", "element": "contributor", "qualifier": "department", "schema": "dc"}, {"key": "dc.contributor.organization", "value": "University of Jyv\u00e4skyl\u00e4", "language": "en", "element": "contributor", "qualifier": "organization", "schema": "dc"}, {"key": "dc.contributor.organization", "value": "Jyv\u00e4skyl\u00e4n yliopisto", "language": "fi", "element": "contributor", "qualifier": "organization", "schema": "dc"}, {"key": "dc.subject.discipline", "value": "Teoreettinen fysiikka", "language": "fi", "element": "subject", "qualifier": "discipline", "schema": "dc"}, {"key": "dc.subject.discipline", "value": "Theoretical Physics", "language": "en", "element": "subject", "qualifier": "discipline", "schema": "dc"}, {"key": "dc.date.updated", "value": "2016-08-25T19:43:35Z", "language": "", "element": "date", "qualifier": "updated", "schema": "dc"}, {"key": "yvv.contractresearch.funding", "value": "0", "language": "", "element": "contractresearch", "qualifier": "funding", "schema": "yvv"}, {"key": "dc.type.coar", "value": "http://purl.org/coar/resource_type/c_bdcc", "language": null, "element": "type", "qualifier": "coar", "schema": "dc"}, {"key": "dc.rights.accesslevel", "value": "openAccess", "language": "fi", "element": "rights", "qualifier": "accesslevel", "schema": "dc"}, {"key": "dc.type.publication", "value": "masterThesis", "language": null, "element": "type", "qualifier": "publication", "schema": "dc"}, {"key": "dc.subject.oppiainekoodi", "value": "4024", "language": null, "element": "subject", "qualifier": "oppiainekoodi", "schema": "dc"}, {"key": "dc.format.content", "value": "fulltext", "language": null, "element": "format", "qualifier": "content", "schema": "dc"}, {"key": "dc.rights.url", "value": "https://rightsstatements.org/page/InC/1.0/", "language": null, "element": "rights", "qualifier": "url", "schema": "dc"}, {"key": "dc.type.okm", "value": "G2", "language": null, "element": "type", "qualifier": "okm", "schema": "dc"}]
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