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ENCIT 2020
18th Brazilian Congress of Thermal Sciences and Engineering
Assessment of Galerkin and Least-Squares Petrov-Galerkin: reduced-order models for unsteady flows
Submission Author:
Victor Zucatti da Silva , SP
Co-Authors:
Victor Zucatti da Silva, William Wolf
Presenter: Victor Zucatti da Silva
doi://10.26678/ABCM.ENCIT2020.CIT20-0181
Abstract
An assessment of physics-based reduced-order models (ROMs) is presented for the study of unsteady flows. Here, we preliminary tests are conducted for analysis of convective heat transfer in a rectangular cavity. Despite the simple geometrical configuration, the current setup offers increasingly rich dynamics as the thermal forcing is increased, thus making it a suitable candidate to evaluate the performance of ROMs. First, flow simulations are performed using a high-order spectral element method that will feed the ROMs with well-resolved temporal and spatial information. Then, proper orthogonal decomposition (POD) is applied to reduce the problem dimensionality for all models. The class of tested physics-based models include the Galerkin and least-squares Petrov-Galerkin (LSPG) methods that rely on projection of the Navier-Stokes and energy equations being solved. All ROMs are able to represent the chaotic temporal dynamics of a moderate Rayleigh number flow.
Keywords
Reduced Order Modeling, Galerkin projection, Petrov-Galerkin projection, Proper orthogonal decomposition (POD)
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