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Reaaliaikaiset nestesimulaatiot

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Authors
Myyrä, Mikael
Date
2019
Discipline
TietotekniikkaMathematical Information Technology
Copyright
This publication is copyrighted. You may download, display and print it for Your own personal use. Commercial use is prohibited.

 
Nesteiden virtausten mallintaminen tietokoneella on haastava ja paljon tutkittu ongelma. Kirjallisuuskatsauksena toteutetussa tutkielmassa tarkastelen ja vertailen erilaisia simulaatiomenetelmiä keskittyen erityisesti tietokonegrafiikan sovelluksiin, joissa reaaliaikainen vuorovaikutus on yleinen tavoite. Menetelmät voidaan luokitella aineen tilan esittämistavan perusteella ruudukko- ja hiukkasmenetelmiin. Molemmilla on omat etunsa ja haasteensa, mutta yleisiä ongelmia liittyy mm. numeeriseen stabiilisuuteen ja laskennan aikavaativuuteen. Lisäksi käyn vaihe vaiheelta läpi Stamin ruudukkomenetelmän, joka on monen muun ruudukkomenetelmän perusta.
 
Computer simulation of the flow of liquids is a challenging and extensively researched problem. In this literature review I examine and compare different simulation methods with a focus on computer graphics applications, in which real-time interaction is often desired. Methods can be categorized by their representation of the simulated material into grid-based and particle-based methods. Both categories have their own advantages and challenges, but common problems include e.g. numerical stability and computational complexity. Additionally, I provide a step-by-step overview of Stam's Stable Fluids method, which forms the basis of many other grid-based methods.
 
Keywords
nesteet fluidit simulointi
URI

http://urn.fi/URN:NBN:fi:jyu-201906143219

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  • Kandidaatintutkielmat [4049]

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