Is the interconnection between different nodes in a mesh necessary for calculation ?
 

Hello ,
this is my first post on cfd-online.

History:
I am writing a simple transfinite interpolation code for mesh generation using c and fortran .

Problem statement :
The meshes which are created in different cfd software depict the nodes to be connected
to their neighbor nodes by lines.
I suppose seeing them connected by lines will give an idea about whether the mesh quality is good or not .

But it also requires a lot of computational effort to connect the nodes to their neighbor.

The lagrangian and eulerian approach to fluid mechanics only deal with discrete points in
space and donot say anything about the connection between itself and it's neighbors.

And also , in discretization schemes like FDM, FVM it is necessary to keep track of the neighbors of any node.

So my question is this :
To prevent computation time waste while meshing is it okay to keep the information about
each node in a way in which we can access it and it's neighbors easily , but we do not spend time trying to draw the mesh using lines but only just draw the vertices on screen?