Revisiting Conservativeness in Fluid Dynamics: Failure of Non-Conservative PINNs and a Path-Integral Remedy

Arun Govind Neelan, Ferdin Sagai Don Bosco, Naveen Sagar Jarugumalli +1

The choice between conservative and non-conservative formulations is a fundamental dilemma in CFD. While non-conservative forms offer intuitive modeling in primitive variables, the…