A mathematical and numerical study of the sensitivity of a reduced order model by POD (ROM-POD), for a 2D incompressible fluid flow

• Autores: N. Akkari, A. Hamdouni, E. Liberge, M. Jazar
• Localización: Journal of computational and applied mathematics, ISSN 0377-0427, Vol. 270, Nº 1, 2014, págs. 522-530
• Idioma: inglés
• DOI: 10.1016/j.cam.2013.11.025
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• Resumen

  • In this work, we present contributions concerning a mathematical study of the sensitivity of a reduced order model (ROM) by the proper orthogonal decomposition (POD) technique applied to a quasi-linear parabolic equation. In particular, we apply our theoretical study to the Navier�Stokes equations for a 2D incompressible fluid flow. We present a numerical test of our theoretical result, for an unsteady fluid flow in a channel around a circular cylinder.