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URN etd-0711111-134054 Statistics This thesis had been viewed 2003 times. Download 976 times. Author Chun-Wei Chu Author's Email Address No Public. Department Math Year 2010 Semester 2 Degree Master Type of Document Master's Thesis Language zh-TW.Big5 Chinese Page Count 57 Title THE STUDY ON RELATIVITY FLUID THEORY AND NUMERICAL METHODS Keyword ENO FTVD The theory of relativity hydromechanics TVD TVD The theory of relativity hydromechanics FTVD ENO Abstract The theory of relativity hydromechanics widely has been discussed in
recent years, it is playing the very important role in the science and the
applied science. For example, the strong shock wave produced by the supernova,
the interaction of interstellar cloud collision and the generation of
stars. In quantum mechanics, such as substance diffraction, lasers, nuclear
magnetic resonance and the application of high energy nuclear collisions
and so on.
Therefore, in this paper, the first collection of all the theoretical foundation of relativistic hydrodynamics and collated. In the same time we
compare the kinetic scheme for the ultra-relativistic Euler equations with
the corresponding kinetic scheme for the classical Euler equations. In the
way of numerical methods, we use the second order TVD and ENO beam schemes for dealing with the collision of relativistic shock wave, and improved
the boundary conditions to be adjusted to achieve a smoother effect.
Finally we discussed how to take FTVD scheme for collisions with relativistic
shock waves, and compared it.
Advisor Committee I-Nan Tsai - advisor
Fuh-Gwo Wang - co-chair
Yung-Cheng Wang - co-chair
Files Date of Defense 2011-07-06 Date of Submission 2011-07-11