Model-order reduction for hyperbolic relaxation systems

International Journal of Nonlinear Sciences and Numerical Simulation, vol. 24, pp. 2763–2780

Abstract

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.

Authors 2

1. Sara Grundel

   Max Planck Institute for Dynamics of Complex Technical Systems

   Affiliation as printed

   Max-Planck-Institut für Dynamik komplexer technischer Systeme , Sandtorstr. 1 , 39106 Magdeburg , Germany

2. Michaël Herty corresponding Aachen Institut für Geometrie und Praktische Mathematik

   RWTH Aachen University

   Affiliation as printed

   Institut für Geometrie und Praktische Mathematik (IGPM), RWTH Aachen University , Templergraben 55 , 52062 Aachen , Germany