2020Unpublished venueRequires access

Analitički i numerički modeli inercijalnih oscilacija u rotirajućem fluidu

Luka Kovačić

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Abstract

The thesis analyses inertial oscillations, how they occur and their main characteristics. Introductory the properties of the non-inertial reference frame are described and inertial forces are considered, as well. It is shown that the oscillations are not strictly related to the non-inertial, but can also be observed in the inertial frame of reference. The model of the Earth as a non-inertial frame was applied and the main equations describing inertial oscillations were derived. Analytical solutions are presented from which it is shown that the properties of oscillations depend on the latitude. In addition, the equations are solved numerically using explicit and implicit methods. The obtained numerical results, from which the properties and analysed behavior of the solution of each of the methods are visible, are compared with the analytical solutions.

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What this paper is about

The thesis analyses inertial oscillations, how they occur and their main characteristics. Introductory the properties of the non-inertial reference frame are described and inertial forces are considered, as well. It is shown that the oscillations are not strictly related to the non-inertial, but can also be observed in the inertial frame of reference. The model of the Earth as a non-inertial frame was applied and the main equations describing inertial oscillations were derived. Analytical solutions are presented from which it is shown that the properties of oscillations depend on the latitude. In addition, the equations are solved numerically using explicit and implicit methods. The obtained numerical results, from which the properties and analysed behavior of the solution of each of the methods are visible, are compared with the analytical solutions.

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Available abstract

The thesis analyses inertial oscillations, how they occur and their main characteristics. Introductory the properties of the non-inertial reference frame are described and inertial forces are considered, as well. It is shown that the oscillations are not strictly related to the non-inertial, but can also be observed in the inertial frame of reference. The model of the Earth as a non-inertial frame was applied and the main equations describing inertial oscillations were derived. Analytical solutions are presented from which it is shown that the properties of oscillations depend on the latitude. In addition, the equations are solved numerically using explicit and implicit methods. The obtained numerical results, from which the properties and analysed behavior of the solution of each of the methods are visible, are compared with the analytical solutions.

Key concepts: Inertial frame of reference, Inertial wave, Frame of reference, Frame (networking), Classical mechanics, Fictitious force, Reference frame, Physics

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Analitički i numerički modeli inercijalnih oscilacija u rotirajućem fluidu — Research Paper | ScholarLens