We have developed a code which solves the coupled sets of radiation tr
ansfer and fluid dynamics equations (time dependent in one spatial dim
ension) by employing a fully implicit adaptive grid procedure to detec
t, resolve, and track the relevant physical structures. We have formul
ated TITAN as a general purpose code, written it in a user friendly ma
nner, and documented it in detail. This code is available to the (astr
ophysical) community for the application to a broad variety of computa
tional problems both as a research and a teaching tool. We demonstrate
the code's power and versatility in a series of simple problems. They
range from pure hydrodynamics tests (shock tubes and blast waves), vi
a radiation transfer tests (radiative heating and cooling), to radiati
on hydrodynamics tests (radiative shocks and blast waves). These can b
e viewed as predecessors to a host of interesting astrophysical proble
ms such as nova and supernova explosions and light curves, accretion o
nto compact objects, star formation, and stellar variability.