{"?xml":{"@version":"1.0"},"edm:RDF":{"@xmlns:dc":"http://purl.org/dc/elements/1.1/","@xmlns:edm":"http://www.europeana.eu/schemas/edm/","@xmlns:wgs84_pos":"http://www.w3.org/2003/01/geo/wgs84_pos","@xmlns:foaf":"http://xmlns.com/foaf/0.1/","@xmlns:rdaGr2":"http://rdvocab.info/ElementsGr2","@xmlns:oai":"http://www.openarchives.org/OAI/2.0/","@xmlns:owl":"http://www.w3.org/2002/07/owl#","@xmlns:rdf":"http://www.w3.org/1999/02/22-rdf-syntax-ns#","@xmlns:ore":"http://www.openarchives.org/ore/terms/","@xmlns:skos":"http://www.w3.org/2004/02/skos/core#","@xmlns:dcterms":"http://purl.org/dc/terms/","edm:WebResource":[{"@rdf:about":"http://www.dlib.si/stream/URN:NBN:SI:doc-A9ED17QX/3fb4c081-a7a1-49fb-8113-234e87728ed5/PDF","dcterms:extent":"481 KB"},{"@rdf:about":"http://www.dlib.si/stream/URN:NBN:SI:doc-A9ED17QX/bb365b34-5104-46b3-970e-a578a7617edb/TEXT","dcterms:extent":"0 KB"}],"edm:TimeSpan":{"@rdf:about":"1999-2025","edm:begin":{"@xml:lang":"en","#text":"1999"},"edm:end":{"@xml:lang":"en","#text":"2025"}},"edm:ProvidedCHO":{"@rdf:about":"URN:NBN:SI:doc-A9ED17QX","dcterms:isPartOf":[{"@rdf:resource":"https://www.dlib.si/details/URN:NBN:SI:spr-WP8SPN4L"},{"@xml:lang":"sl","#text":"Acta hydrotechnica"}],"dcterms:issued":"2000","dc:creator":"Gerčer, Slavko","dc:format":[{"@xml:lang":"sl","#text":"letnik:18"},{"@xml:lang":"sl","#text":"številka:28"},{"@xml:lang":"sl","#text":"str. 3-40"}],"dc:identifier":["ISSN:1581-0267","COBISSID_HOST:1840737","URN:URN:NBN:SI:doc-A9ED17QX"],"dc:language":["en","sl"],"dc:publisher":{"@xml:lang":"sl","#text":"Fakulteta za gradbeništvo in geodezijo"},"dc:subject":[{"@xml:lang":"en","#text":"curvilinear coordinate system"},{"@xml:lang":"sl","#text":"dvodimenzionalno modeliranje"},{"@xml:lang":"en","#text":"finite volume method"},{"@xml:lang":"sl","#text":"krivočrtni koordinatni sistem"},{"@xml:lang":"sl","#text":"matematični modeli"},{"@xml:lang":"en","#text":"mathematical models"},{"@xml:lang":"sl","#text":"metoda končnih volumnov"},{"@xml:lang":"en","#text":"mumerical methods"},{"@xml:lang":"sl","#text":"numerične metode"},{"@xml:lang":"en","#text":"two-dimensional modelling"}],"dcterms:temporal":{"@rdf:resource":"1999-2025"},"dc:title":{"@xml:lang":"sl","#text":"Matematično modeliranje dvodimenzionalnih turbulentnih tokov v krivočrtnih koordinatnih sistemih| Mathematical modelling of two-dimensional turbulent flow in curvilinear coordinate systems|"},"dc:description":[{"@xml:lang":"sl","#text":"In the first part of the thesis, a mathematical derivation of the dynamic and the mass conservation equation in curvilinear coordinate system is presented. The mean purpose of the derivation of equationsis to establish the basics of the first approach for the solving of the equations which, in their transformed form, are later used in a curvilinear coordinate system. In the second part, the socalled second approach is derived, where the equations are solved in a non-transformed form. The numerical discretisation of the dynamic and mass conservation equations in the orthogonal grid is interpreted. The theoretical derivation of the numerical discretisation of equations for trapezoidal cells is described using a finite volume method. Afterwards, a newmathematical model (PCFLOW2D-CURVE) which enables the modelling of flow for any optional structure of numerical grid was developed. A new software (GEO-CURVE) in the CADD environment was developed to generate a numerical grid for any optional form of the riverbed. The thesis gives a review and basic principles of solving the equations in a curvilinear coordinate system. Therefore, it can be used as a goodmathematical basis for the further development of curvilinear models"},{"@xml:lang":"sl","#text":"V prvem delu naloge je obravnavana matematična izpeljava dinamične in kontinuitetne enačbe v krivočrtnem koordinatnem sistemu. Namen razvoja teh enačb je priprava temeljnih izhodišč za t.i. prvi pristop k reševanju enačb, ki jih uporabimo v transformirani obliki za krivočrtni koordinatni sistem. V drugem delu naloge pa je izveden t.i. drugi pristop, enačbe so rešene v netransformirani obliki. Razložena je numerična diskretizacija dinamične in kontinuitetne enačbe na pravokotni mreži. Razvita je teoretična izpeljava numerične diskretizacije po metodi končnih volumnov za poljubno obliko celic (trapezi), ki sestavljajo numerično mrežo. Na tej podlagi je bil razvit računalniški model (PCFLOW2D-CURVE), ki omogoča modeliranje tokov za poljubno obliko strukturirane numerične mreže. Narejen je računalniški program v CADD okolju (GEO-CURVE), ki generira numerično mrežo za poljubno obliko rečnega korita. Naloga podaja pregled in temelje pristopa k reševanju enačb v krivočrtnem koordinatnem sistemu. Zato je dobra matematična podlaga za vse, ki bodo nadaljevali z razvojem modelov v krivočrtnih koordinatah"}],"edm:type":"TEXT","dc:type":[{"@xml:lang":"sl","#text":"znanstveno časopisje"},{"@xml:lang":"en","#text":"journals"},{"@rdf:resource":"http://www.wikidata.org/entity/Q361785"}]},"ore:Aggregation":{"@rdf:about":"http://www.dlib.si/?URN=URN:NBN:SI:doc-A9ED17QX","edm:aggregatedCHO":{"@rdf:resource":"URN:NBN:SI:doc-A9ED17QX"},"edm:isShownBy":{"@rdf:resource":"http://www.dlib.si/stream/URN:NBN:SI:doc-A9ED17QX/3fb4c081-a7a1-49fb-8113-234e87728ed5/PDF"},"edm:rights":{"@rdf:resource":"http://creativecommons.org/licenses/by-nc-sa/4.0/"},"edm:provider":"Slovenian National E-content Aggregator","edm:intermediateProvider":{"@xml:lang":"en","#text":"National and University Library of Slovenia"},"edm:dataProvider":{"@xml:lang":"sl","#text":"Univerza v Ljubljani, Fakulteta za gradbeništvo in geodezijo"},"edm:object":{"@rdf:resource":"http://www.dlib.si/streamdb/URN:NBN:SI:doc-A9ED17QX/maxi/edm"},"edm:isShownAt":{"@rdf:resource":"http://www.dlib.si/details/URN:NBN:SI:doc-A9ED17QX"}}}}