Popis: |
V nalogi je analiziran dvodimenzionalni problem časovno neustaljenega prevoda toplote. Analiza je izvedena z metodo končnih elementov. Predstavljena je teorija in izpeljava enačb, na katerih temelji metoda končnih elementov. Predstavljena je prednost uporabe Eulerjevega koordinatnega sistema v primerjavi z Lagrangejevim, v primeru, da narava problema omogoča uporabo le tega. Opisan in predstavljen je program za analizo zgoraj omenjenega problema, napisan v Wolfram Mathematici. My final thesis analyses a two-dimentional problem of transient heat flow using finite element method. The theory and derivation of equations, which finite element method is based on have been presented. I have introduced advantages of Euler coordinate system in comparisson to Langrange’s, given the nature of problem allows it. Further, a description and a presentation of a Wolfram Mathematics analysis programme of the above mentioned problem has been given. |