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A two-level parameterized Model-Order Reduction approach for time-domain elastodynamics

Author(s)
Bhouri, Mohamed Aziz; Patera, Anthony T
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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.
Date issued
2021
URI
https://hdl.handle.net/1721.1/138885
Department
Massachusetts Institute of Technology. Department of Mechanical Engineering
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

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