  By investigating the crystalline structure of ground-state orthorhombic
SrRuO$_3$, we present a benchmark study of some of the most popular density
functional theory (DFT) approaches from the local density approximation (LDA),
generalized-gradient approximation (GGA), and hybrid functional families.
Recent experimental success in stabilizing tetragonal and monoclinic phases of
SrRuO$_3$ at room temperature sheds a new light on the ability to accurately
describe geometry of this material by applying first-principles calculations.
Therefore, our work is aimed to analyse the performance of different DFT
functionals and provide some recommendations for future research of SrRuO$_3$.
A comparison of the obtained results to the low-temperature experimental data
indicates that revised GGAs for solids are the best choice for the lattice
constants and volume due to their nice accuracy and low computational cost.
However, when tilting and rotation angles appear on the scene, a combination of
the revised GGAs with the hybrid scheme becomes the most preferable option. It
is important to note that a worse performance of LDA functional is somewhat
compensated by its realistic reproduction of electronic and magnetic structure
of SrRuO$_3$, making it a strong competitor if the physical features are also
taken into account.
