Model-order reduction for hyperbolic relaxation systems

被引：2

作者：

Grundel, Sara ^{[2
]}

Herty, Michael ^{[1
]}

机构：

[1] Rhein Westfal TH Aachen, Inst Geometrie & Prakt Math IGPM, Templergraben 55, D-52062 Aachen, Germany

[2] Max Planck Inst Dynam Komplexer Tech Syst, Sandtorstr 1, D-39106 Magdeburg, Germany

来源：

INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION | 2023年 / 24卷 / 07期

关键词：

hyperbolic relaxation systems; model order reduction; numerical methods; RUNGE-KUTTA SCHEMES; CONSERVATION-LAWS; APPROXIMATIONS; CONVERGENCE; EQUATIONS;

D O I：

10.1515/ijnsns-2021-0192

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

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.

引用

页码：2763 / 2780

页数：18

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