Séminaire Calcul Scientifique et Modélisation

In this talk, we propose a novel collocation-based Model Order Reduction (cMOR) strategy for solving parametric advection-diffusion PDEs on moving Chimera grids. Unlike traditional projection-based MOR, cMOR solves the High-Dimensional Model on a small subset of collocation points and extends the solution to the entire domain using a global reduced basis. By leveraging the ADER method on unsteady Chimera meshes, cMOR addresses the computational challenges posed by convective dominated problems, particularly the Kolmogorov N-width barrier. Our results demonstrate the efficiency of cMOR in reducing the computational cost while maintaining accuracy.