High order elements
 

Hi. I want to use high order elements so that i can represent boundaries (wall) with good accuracy. I have seen some mesh generators which represent the boundary with 27-node hexahedral in order to describe the geometry with second order polynomial (3 nodes at each edge). Is there any way (64 or more nodes hex) for representation of more high order accuracy?

Is there any way (64 or more nodes hex) for representation of more high order accuracy?

There is an 8-node hex Hermite element with 32 degrees-of-freedom (scalar & 3 first derivatives at each node) which is a complete cubic.