RT Journal Article
T1 POD–Galerkin reduced order methods for combined Navier–Stokes transport equations based on a hybrid FV-FE solver
A1 Busto Ulloa, Saray
A1 Stabile, Giovanni
A1 Rozza, Gianluigi
A1 Vázquez Cendón, María Elena
AB The purpose of this work is to introduce a novel POD–Galerkin strategy for the semi-implicit hybrid high order 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.
PB Elsevier
SN 0898-1221
YR 2020
FD 2020-01-15
LK https://hdl.handle.net/10347/38194
UL https://hdl.handle.net/10347/38194
LA eng
NO Busto, Stabile, Rozza, & Vázquez-Cendón. (2020). POD–Galerkin reduced order methods for combined Navier–Stokes transport equations based on a hybrid FV-FE solver. Computers and Mathematics with Applications, 79(2), 256-273. https://doi.org/10.1016/J.CAMWA.2019.06.026
NO We acknowledge the support provided by Spanish MECD under grant FPU13/00279, by Spanish MINECO under MTM2017-86459-R, by EU-COST MORNET TD13107 under STSM 40422, by the European Research Council Executive Agency with the Consolidator Grant project AROMA-CFD “Advanced Reduced Order Methods with Applications in Computational Fluid Dynamics” - GA 681447, H2020-ERC CoG 2015 AROMA-CFD (P.I. Gianluigi Rozza) and by the INdAM-GNCS, Italy projects.
DS Minerva
RD 27 abr 2026