  We study the dynamics and morphology of grain growth with anisotropic energy
and mobility of grain boundaries using a generalized phase field model. In
contrast to previous studies, both inclination and misorientation of the
boundaries are considered. The model is first validated against exact
analytical solutions for the classical problem of an island grain embedded in
an infinite matrix. It is found that grain boundary energy anisotropy has a
much stronger effect on grain shape than that of mobility anisotropy. In a
polycrystalline system with mobility anisotropy, we find that the system
evolves in a non-self-similar manner and grain shape anisotropy develops.
However, the average area of the grains grows linearly with time, as in an
isotropic system.
