Parametric POD-Galerkin model order reduction with a greedy algorithm for the time-domain Maxwell's equations

2019 ◽  
Author(s):  
Kun Li ◽  
Ting-Zhu Huang ◽  
Liang Li ◽  
Stephane Lanteri
Keyword(s):  
Greedy Algorithm ◽  
Time Domain ◽  
Model Order Reduction ◽  
Maxwell’S Equations ◽  
Maxwell's Equations ◽  
Order Reduction ◽  
Model Order ◽  
The Time Domain

Investigation of Transient Thermal Analysis Computational Efficiency Improvements via Frequency Domain Methods

2012 ◽  
Author(s):  
Gregory A. Banyay ◽  
John C. Brigham ◽  
Evgenii Rudnyi
Keyword(s):  
Thermal Analysis ◽  
Frequency Domain ◽  
Time Domain ◽  
Model Order Reduction ◽  
Order Reduction ◽  
Model Order ◽  
Frequency Domain Methods ◽  
Thermal Transient ◽  
The Time Domain ◽  
Transient Thermal

During the operation of a Nuclear Steam Supply System (NSSS), the possibility exists for certain thermal transients to occur in the Reactor Coolant System (RCS). These transients exhibit some amount of periodicity in terms of temperature versus time. The current method of solving for temperature or thermal-mechanical stress states in the nuclear pressure vessel industry is by solving the governing equations in the time domain. For some analytical situations, significant computational savings could be realized by solving the thermal transient problem in the frequency domain. That is, the time, memory, and disk space required to solve the analysis is much less in the frequency domain than in the time domain. Two frequency domain methods are discussed in this paper. First, a Laplace-based model order reduction approach is applied to a reactor vessel component subjected to a representative thermal transient. Second, the feasibility of a Fourier-based spectral approach is discussed. For transient thermal analysis, it is shown that by employing model order reduction, significant computational savings can be realized with insignificant compromise in the accuracy of results.

scholarly journals Nonlinear Model Order Reduction: A system-theoretic viewpoint

2018 ◽  
Author(s):  
Maria Cruz Varona ◽  
Raphael Gebhart ◽  
Maria Cruz Varona
Keyword(s):  
Nonlinear Systems ◽  
Nonlinear Model ◽  
Time Domain ◽  
Model Order Reduction ◽  
Volterra Series ◽  
Order Reduction ◽  
Moment Matching ◽  
Model Order ◽  
Free Model ◽  
The Time Domain

In this contribution, we consider nonlinear model order reduction from a system-theoretic viewpoint. To this end, we transfer the time domain interpretation of linear moment matching to nonlinear systems. For bilinear systems we hereby provide the time domain perception of Volterra series interpolation. For nonlinear systems we propose some simplifications to achieve a ready-to-implement, simulation-free model reduction algorithm.

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