Primerjava izračuna 1D prevoda toplote z MKE in MRE

Gregorič, Dušan (author), Mole, Nikolaj (mentor)

V nalogi je predstavljen 1D stacionarni problem prevoda toplote, ki ga obravnavamo z dvema različnima numeričnima metodama. Problem obravnavamo z metodo končnih elementov in metodo robnih elementov. Z namenom testiranja obeh metod, obravnavamo dva različna primera. V prvem primeru sta na obeh robovih 1D geometrijskega območja podani temperaturi, v drugem primeru pa je eden od robov izpostavljen naravni konvekciji. Analizirane so prednosti in slabosti posamezne numerične metode.

• Language: Slovenian
• Keywords: stacionarni prevod toplote, metoda končnih elementov, metoda robnih elementov, šibka integralna enačba, inverzna oblika integralske formulacije
• Work type: Final paper
• Typology: 2.11 - Undergraduate Thesis
• Organization: FS - Faculty of Mechanical Engineering
• Place of publishing: Ljubljana
• Publisher: [D. Gregorič]
• Year: 2023
• Number of pages: XI, 32 str.
• PID: 20.500.12556/RUL-148962
• UDC: 536.24:519.62(043.2)
• COBISS.SI-ID: 164764931
• Publication date in RUL: 02.09.2023

Secondary language

• Language: English
• Title: Comparison of 1D heat transfer computation using FEM and BEM

Abstract

This thesis presents a 1D stationary heat transfer problem, which is treated by two different numerical methods. The problem is treated by the finite element method and the boundary element method. In order to test both methods, we consider two different cases. In the first case, both edges of the 1D geometric region are given temperatures, while in the second case one of the edges is subjected to natural convection. The advantages and disadvantages of each numerical method are analysed.

• Keywords: stationary heat transfer, finite element method, boundary element method, weak integral formulation, inverse integral formulation