Front Transport Reduction for Complex Moving Fronts

Understand

This work addresses model order reduction for complex moving fronts, which are transported by advection or through a reaction-diffusion process.

• Such systems are especially challenging for model order reduction since the transport cannot be captured by linear reduction methods.
• Moreover, topological changes, such as splitting or merging of fronts pose difficulties for many nonlinear reduction methods and the small non-vanishing support of the underlying partial differential equations dynamics makes most nonlinear hyper-reduction methods infeasible.
• We propose a new decomposition method together with a hyper-reduction scheme that addresses these shortcomings.