Chacón Rebollo, TomásGómez Mármol, María MacarenaHecht, FrédéricRubino, SamueleSánchez Muñoz, Isabel María2022-10-282022-10-282017-06-05Chacón Rebollo, T., Gómez Mármol, M.M., Hecht, F., Rubino, S. y Sánchez Muñoz, I.M. (2017). A High-Order Local Projection Stabilization Method for Natural Convection Problems. Journal of Scientific Computing, 74, 667-692. https://doi.org/10.1007/s10915-017-0469-9.1573-76910885-7474https://hdl.handle.net/11441/138470In this paper, we propose a local projection stabilization (LPS) finite element method applied to numerically solve natural convection problems. This method replaces the projection-stabilized structure of standard LPS methods by an interpolation-stabilized structure, which only acts on the high frequencies components of the flow. This approach gives rise to a method which may be cast in the variational multi-scale framework, and constitutes a low-cost, accurate solver (of optimal error order) for incompressible flows, despite being only weakly consistent. Numerical simulations and results for the buoyancy-driven airflow in a square cavity with differentially heated side walls at high Rayleigh numbers (up to Ra=107Ra=107) are given and compared with benchmark solutions. Good accuracy is obtained with relatively coarse grids.application/pdf25 p.engAttribution-NonCommercial-NoDerivatives 4.0 Internacionalhttp://creativecommons.org/licenses/by-nc-nd/4.0/Boussinesq equationsThermally coupled flowsNatural convectionLPS methodsFinite elementsNumerical analysisHigh Rayleigh number flowsinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/openAccesshttps://doi.org/10.1007/s10915-017-0469-9