Reduced-Order Modeling for Parameterized Electromagnetic Simulation Based on Free-Form Deformation

We propose a parameteric geometry-based nonintrusive model order reduction (NIMOR) model for electromagnetic simulation in domains of different shapes. The free-from-deformation method is introduced to adjust the mesh when the shape changes. This NIMOR model generates a set of reduced-order basis functions by applying a two-step randomized singular value decomposition method with an auto-rank generator to the matrix composed of the full-order solutions. A map between the time/geometry parameters and the projection coefficients is approximated by the cubic-spline interpolation approach. This reduced-order model is trained in the offline stage, while the reduced basis (RB) solutions for new parameters can be quickly recovered in the online stage. Numerical experiments show that the proposed NIMOR method can achieve near real-time electromagnetic scattering simulation on domains of different shapes while guaranteeing the accuracy.