A two-level parameterized Model-Order Reduction approach for time-domain elastodynamics
Name
2002.11084.pdf
Description
Submitted version
Size
4.21 MB
Format
Adobe PDF
Checksum (MD5)
e812ad790b3742cce0637887a0940d54
Author(s)
Bhouri, Mohamed Aziz
Patera, Anthony T
Date Issued
2021
Journal
Computer Methods in Applied Mechanics and Engineering
Publisher
Elsevier BV
Citation
Bhouri, Mohamed Aziz and Patera, Anthony T. 2021. "A two-level parameterized Model-Order Reduction approach for time-domain elastodynamics." Computer Methods in Applied Mechanics and Engineering, 385.
Version
Original manuscript
Abstract
We present a two-level parameterized Model Order Reduction (pMOR) technique for the linear hyperbolic Partial Differential Equation (PDE) of time-domain elastodynamics. In order to approximate the frequency-domain PDE, we take advantage of the Port-Reduced Reduced-Basis Component (PR-RBC) method to develop (in the offline stage) reduced bases for subdomains; the latter are then assembled (in the online stage) to form the global domains of interest. The PR-RBC approach reduces the effective dimensionality of the parameter space and also provides flexibility in topology and geometry. In the online stage, for each query, we consider a given parameter value and associated global domain. In the first level of reduction, the PR-RBC reduced bases are used to approximate the frequency-domain solution at selected frequencies. In the second level of reduction, these instantiated PR-RBC approximations are used as surrogate truth solutions in a Strong Greedy approach to identify a reduced basis space; the PDE of time-domain elastodynamics is then projected on this reduced space. We provide a numerical example to demonstrate the computational capability and assess the performance of the proposed two-level approach.
MIT Department
Massachusetts Institute of Technology. Department of Mechanical Engineering
Terms of Use
Creative Commons Attribution-NonCommercial-NoDerivs License
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1016/J.CMA.2021.114004
