Algan, Eren2016-01-082016-01-082010http://hdl.handle.net/11693/15609Ankara : The Department of Computer Engineering and the Institute of Engineering and Science of Bilkent University, 2010.Thesis (Master's) -- Bilkent University, 2010.Includes bibliographical references leaves 53-55.Realistic simulation of uid-like behaviour is an important and challenging problem in computer graphics. Huge and increasing amount of animations has made this phenomena even more important. Although many scientists provided solutions regarding this issue, recently, the need of fast and easy implemented uid simulations has directed researches to focus on quick and stable solutions. This thesis presents an unconditionally stable, easy implemented real-time smoke simulation, solving Navier-Stokes equations with Lagrangian and implicit methods. The study focuses on the comprehension of uid dynamics as much as the solution, by providing background information about Navier-Stokes equations, how they are derived and used. While the proposed solution is applied only to create a simulation for smoke like behaviour, it is highly adaptive for other uids as well. One important aspect of the simulation is being suitable for 2 and 3 dimensions, giving the exibility to the animator to choose in between.xi, 55 leaves, illustrationsEnglishinfo:eu-repo/semantics/openAccessNavier-Stokes equationsPhysics-based modelingAnimation of uidsStable solversGaseous phenomenaQA76.9.C65 A54 2010Computer simulation.Image processing--Digital techniques.Digital computer vision.Computer graphics.Models and modelmaking.Smoke--Computer simulation.ThesisB124306