Analytical Surface or Curve

Coreform Cubit Geometry
#1

How do I model analytical surface e.g. rotating paraboloid?
I model it with other CAD software and import sat file into Coreform.
Is this the only way or are there any better solutions?

#2

Frequently, it is more efficient to create geometry in a CAD package. If I want to do this in Cubit, I would create a python function and then fit a spline to vertices generated by the function.

I have numpy installed in my Cubit python and that simplifies the generation of a floating point range.

import numpy as np

def f(x):
   return .05* x*x

cubit.cmd("reset")
vertex_list = []

for x in np.arange(0, 10, .5):
   v = cubit.create_vertex(x, f(x), 0)
   vertex_list.append(v.id())

vertex_str = " ".join([str(v)  for v in vertex_list])
cubit.cmd( f"create curve spline vertex {vertex_str} delete")
cubit.cmd("sweep curve 1 yaxis angle 360")