Implementation details and test cases of a newly developed hydrodynamic code, AMRA, are presented. The numerical scheme exploits the adaptive mesh refinement technique coupled to modern high-resolution schemes which are suitable for relativistic and non-relativistic flows. Various physical processes are incorporated using the operator splitting approach, and include self-gravity, nuclear burning, physical viscosity, implicit and explicit schemes for conductive transport, simplified photoionization, and radiative losses from an optically thin plasma. Several aspects related to the accuracy and stability of the scheme are discussed in the context of hydrodynamic and astrophysical flows.

41 pages, 21 figures (9 low-resolution), LaTeX, requires elsart.cls, submitted to Comp. Phys. Comm.; additional documentation and high-resolution figures available from http://www.camk.edu.pl/~tomek/AMRA/index.html