Model-Order Reduction For Hyperbolic Relaxation Systems

TL;DR

This paper introduces a new model-order reduction framework for hyperbolic differential equations, combining relaxation formulation and shifted base functions, validated through computational examples including shock waves.

Contribution

It presents a novel reduction method for hyperbolic systems using relaxation and shifted bases, enhancing computational efficiency and accuracy.

Findings

Effective reduction of hyperbolic equations demonstrated

Valid for systems with shock waves

Improved computational performance

Abstract

We propose a novel framework for model-order reduction of hyperbolic differential equations. The approach combines a relaxation formulation of the hyperbolic equations with a discretization using shifted base functions. Model-order reduction techniques are then applied to the resulting system of coupled ordinary differential equations. On computational examples including in particular the case of shock waves we show the validity of the approach and the performance of the reduced system.