| Summary: | 碩士 === 大同大學 === 應用數學學系(所) === 99 === 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.
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