Do you want to write a new code using only PETSc or would you be up for collaborating on ceed-fluids, which is a high-performance compressible SUPG solver based on DMPlex with good GPU support? It uses the metric to compute covariant length for stabilization. We have YZƁ shock capturing, though it hasn't been tested much beyond shock tube experiments. (Most of our work has been low Mach.)
https://libceed.org/en/latest/examples/fluids/ https://github.com/CEED/libCEED/blob/main/examples/fluids/qfunctions/stabilization.h#L76 On Tue, Oct 10, 2023, at 7:34 PM, Brandon Denton via petsc-users wrote: > 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
