  A semi-relativistic potential model is adopted to calculate the mass spectra
of charmed and charmed-strange meson states up to the $2D$ excitations.The
strong decay properties are further analyzed with a chiral quark model by using
the numerical wave functions obtained from the potential model. By using the
strong decay amplitudes extracted from the chiral quark model, we also
systematically study the coupled-channel effects on the bare masses of the
$1P$-wave states, since the masses of $D^*_{s0}(2317)$ and $D_{s1}(2460)$
cannot be explained with bare $1P$-wave states within the potential model.
Based on our good descriptions of the mass and decay properties for the
low-lying well-established states, we give a quark model classification for the
high mass resonances observed in recent years. In the $D$-meson family,
$D_0(2550)$ can be classified as the radially excited state $D(2^1S_0)$;
$D_3^*(2750)$ and $D_2(2740)$ can be classified as the second orbital
excitations $D(1^3D_3)$ and $D(1D'_2)$, respectively; $D_J^*(3000)$ may be a
candidate of $D(1^3F_4)$ or $D(2^3P_2)$; while $D_J(3000)$ may favor the high
mass mixed state $D(2P'_1)$; however, there still exist puzzles for
understanding the natures of $D_1^*(2600)$ and $D_1^*(2760)$, whose decay
properties cannot be well explained with either pure $D(2^3S_1)$ and
$D(1^3D_1)$ states or their mixing. In the $D_s$-meson family, $D_{s3}^*(2860)$
favors the $D_s(1^3D_3)$ assignment; $D_{s1}^*(2700)$ and $D_{s1}^*(2860)$ may
favor the mixed states $|(SD)_1\rangle_L$ and $|(SD)_1\rangle_H$ via the
$2^3S_1$-$1^3D_1$ mixing, respectively; $D_{sJ}(3040)$ may favor $D_s(2P_1)$ or
$D_s(2P_1')$, or corresponds to a structure contributed by both $D_s(2P_1)$ and
$D_s(2P_1')$.
