Application of Deep Neural Networks to the Operator Space of Nonlinear PDE for Physics-based Proxy Modeling

Compositional simulation is computationally intensive for high-fidelity models due to thermodynamic equilibrium relations and the coupling of flow, transport and mass transfer. In this report, two methods for accelerated compositional simulation are outlined and demonstrated for a gas vaporization problem. The first method uses a proxy model...

PINN inspired Freeform Design: Using Fraunhofer Diffraction to find Freeforms described by B-spline Surfaces

This project aims to recreate intensity patterns using Fraunhofer diffraction as a means of simulation. These intensity patterns are created by phase shifting specific parts of an incoming field of light. These phase shifts are determined by a B-spline surface, which is in turn controlled by so-called control points. Only a handful of control...