  We present a new fourth-order, finite-volume hydrodynamics code named Apsara.
The code employs a high-order, finite-volume method for mapped coordinates with
extensions for nonlinear hyperbolic conservation laws. Apsara can handle
arbitrary structured curvilinear meshes in three spatial dimensions. The code
has successfully passed several hydrodynamic test problems, including the
advection of a Gaussian density profile and a nonlinear vortex and the
propagation of linear acoustic waves. For these test problems, Apsara produces
fourth-order accurate results in case of smooth grid mappings. The order of
accuracy is reduced to first-order when using the nonsmooth circular grid
mapping. When applying the high-order method to simulations of low-Mach number
flows, for example, the Gresho vortex and the Taylor-Green vortex, we discover
that Apsara delivers superior results to codes based on the dimensionally
split, piecewise parabolic method (PPM) widely used in astrophysics. Hence,
Apsara is a suitable tool for simulating highly subsonic flows in astrophysics.
In the first astrophysical application, we perform implicit large eddy
simulations (ILES) of anisotropic turbulence in the context of core collapse
supernova (CCSN) and obtain results similar to those previously reported.
