2D Anisotropic Metric Costruction

Hello to all,

I am carrying out simulations on a rocket under super sonic conditions. I started by generating an isotropic grid adaptation based on the gradient node base obtaining a value for each node. As second step, I wanted to move on to generating an anisotropic adaptation based on knowing :

  • The gradient vector for each node ( to impose a direction )
  • The knowledge of the error for each node ( to impose a dimension )

In conclusion, my question is whether there is a way to derive the three terms of the matrix ( two of the diagonal and the extra-diagonal) to impose the new metric from the data listen above, or does one have to start with other data.

Thank you in advance,