[petsc-users] FEM Implementation of NS with SUPG Stabilization

Good Evening, I am looking to implement a form of Navier-Stokes with SUPG Stabilization and shock capturing using PETSc's FEM infrastructure. In this implementation, I need access to the cell's shape function gradients and natural coordinate gradients for calculations within the point-wise residual calculations. How do I get these quantities at the quadrature points? The signatures for fo and f1 don't seem to contain this information. Thank you in advance for your time. Brandon