Model Adaptation for Hyperbolic Balance Laws

被引：0

作者：

Giesselmann, Jan ^{[1
]}

Joshi, Hrishikesh ^{[1
]}

Mueller, Siegfried ^{[2
]}

Sikstel, Aleksey ^{[3
]}

机构：

[1] Tech Univ Darmstadt, Dept Math, Dolivostr 15, D-64293 Darmstadt, Germany

[2] Rhein Westfal TH Aachen, Inst Geometr & Prakt Math, Templergraben 55, D-52056 Aachen, Germany

[3] Univ Cologne, Dept Math, Weyertal 86-90, D-50931 Cologne, Germany

来源：

HYPERBOLIC PROBLEMS: THEORY, NUMERICS, APPLICATIONS, VOL II, HYP2022 | 2024年 / 35卷

关键词：

Hyperbolic PDE; Balance laws; Stiff source; Model adaptivity; Relative entrophy; Chemically reacting flows; A-POSTERIORI ANALYSIS; DISCONTINUOUS GALERKIN SCHEMES; RELATIVE ENTROPY; SYSTEMS; DISCRETIZATION;

D O I：

10.1007/978-3-031-55264-9_7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work, we devise a model adaptation strategy for a class of model hierarchies consisting of two levels of model complexity. In particular, the fine model consists of a system of hyperbolic balance laws with stiff reaction terms and the coarse model consists of a system of hyperbolic conservation laws. We employ the relative entropy stability framework to obtain an a posteriori modeling error estimator. The efficiency of the model adaptation strategy is demonstrated by conducting simulations for chemically reacting fluid mixtures in one space dimension.

引用

页码：73 / 83

页数：11

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