.png){kind=icon}
Return
Energetically consistent model reduction for metriplectic systems
.png){kind=icon}
OA
AI
DOI：10.1016/j.cma.2022.115709.png)
.png){kind=icon}
.png){kind=icon}
Share.png){kind=icon}
Save
Abstract
En 中文
The metriplectic formalism is useful for describing complete dynamical systems which conserve energy and produce entropy. This creates challenges for model reduction, as the elimination of high-frequency information will generally not preserve the metriplectic structure which governs long-term stability of the system. Based on proper orthogonal decomposition, a provably convergent metriplectic reduced-order model is formulated which is guaranteed to maintain the algebraic structure necessary for energy conservation and entropy formation. Numerical results on benchmark problems show that the proposed method is remarkably stable, leading to improved accuracy over long time scales at a moderate increase in cost over naive methods.(c) 2022 Published by Elsevier B.V.
Keywords:
Model reduction
Metriplectic dynamics
GENERIC formalism
Hamiltonian systems
Journal
IF:
7.3
Papers:
1.3W
Citations:
5.6W
Organization
Cited Papers
ShareSaveStructure preserving model reduction of port-Hamiltonian systems by moment matching at infinity.png)
AUTOMATICAOAAI
AUTOMATICAIF5.9
OAAIShareSave
ShareSaveStructure-preserving tangential interpolation for model reduction of port-Hamiltonian systemsAUTOMATICAOAAI
AUTOMATICAIF5.9
OAAIShareSaveShareSaveShareSaveVolume preserving rheological models for polymer melts and solutions using the GENERIC formalismJOURNAL OF RHEOLOGY
JOURNAL OF RHEOLOGYIF3.2
PREAI
ShareSave
View more