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Verifiability of the Data-Driven Variational Multiscale Reduced Order Model

Abstract : In this paper, we focus on the mathematical foundations of reduced order model (ROM) closures. First, we extend the verifiability concept from large eddy simulation to the ROM setting. Specifically, we call a ROM closure model verifiable if a small ROM closure model error (i.e., a small difference between the true ROM closure and the modeled ROM closure) implies a small ROM error. Second, we prove that the data-driven ROM closure studied here (i.e., the data-driven variational multiscale ROM) is verifiable. Finally, we investigate the verifiability of the data-driven variational multiscale ROM in the numerical simulation of the one-dimensional Burgers equation and a two-dimensional flow past a circular cylinder at Reynolds numbers Re=100 and Re=1000.
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Submitted on : Tuesday, November 15, 2022 - 4:31:57 PM
Last modification on : Thursday, November 17, 2022 - 3:25:24 AM


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Birgul Koc, Changhong Mou, Honghu Liu, Zhu Wang, Gianluigi Rozza, et al.. Verifiability of the Data-Driven Variational Multiscale Reduced Order Model. Journal of Scientific Computing, 2022, 93 (2), pp.54. ⟨10.1007/s10915-022-02019-y⟩. ⟨hal-03854187⟩



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