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Mathematics > Numerical Analysis

arXiv:1810.07999 (math)
[Submitted on 18 Oct 2018]

Title:POD-Galerkin reduced order methods for combined Navier-Stokes transport equations based on a hybrid FV-FE solver

Authors:Saray Busto, Giovanni Stabile, Gianluigi Rozza, María Elena Vázquez-Cendón
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Abstract:The purpose of this work is to introduce a novel POD-Galerkin strategy for the hybrid finite volume/finite element solver introduced in Bermúdez et al. 2014 and Busto et al. 2018. The interest is into the incompressible Navier-Stokes equations coupled with an additional transport equation. The full order model employed in this article makes use of staggered meshes. This feature will be conveyed to the reduced order model leading to the definition of reduced basis spaces in both meshes. The reduced order model presented herein accounts for velocity, pressure, and a transport-related variable. The pressure term at both the full order and the reduced order level is reconstructed making use of a projection method. More precisely, a Poisson equation for pressure is considered within the reduced order model. Results are verified against three-dimensional manufactured test cases. Moreover a modified version of the classical cavity test benchmark including the transport of a species is analysed.
Subjects: Numerical Analysis (math.NA); Computational Physics (physics.comp-ph); Fluid Dynamics (physics.flu-dyn)
Cite as: arXiv:1810.07999 [math.NA]
  (or arXiv:1810.07999v1 [math.NA] for this version)
  https://doi.org/10.48550/arXiv.1810.07999

Submission history

From: Saray Busto [view email]
[v1] Thu, 18 Oct 2018 11:45:20 UTC (4,365 KB)
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