Shiva (Hard) was added in patch 2.4 of the A Realm Reborn expansion.
Shiva (Hard) becomes available at level 50 as part of the “The Instruments of Our Deliverance” quest, which is given by Minfillia – The Rising Stones, Mor Dhona (X:6, Y:5).
The trial has a minimum ilevel of 80 to enter and rewards you with:
Allagan Tomestone of Poetics: 15
Introduction

Shiva is a new primal that was added in patch 2.4. The fight this page refers to is the Hard Mode version of the fight that takes place within the main scenario. Like with Ramuh and Leviathan Hard Mode it is not intended to be a difficult fight and you should have no problems beating it first or second try. Extreme Mode exists to challenge the best players.
You should not have to spend time learning the mechanics of the fight in order to beat it because the damage taken is a lot less, however a general understanding of them will help. Keep in mind that Shiva will only use Sword and Bow Form in the hard mode version so ignore Bow Form for now.
I figure there is little point listing the mechanics here again so please read the listing in the extreme guide.
There is no need for the group to assign positions for people to run to like in extreme mode however not overlapping with Hailstorm is still advisable.
One thing tanks should be aware of is that when dealing with Icebrand you have to do the opposite to what you do in extreme mode. In extreme mode the tank would share the damage from this attack with the party to reduce the amount of damage it does, however, in hard mode the tank should not do this as it does not reduce the damage taken. This leads to the occasional unexpected wipe if the tank is not aware.