Article
A High-Order Local Projection Stabilization Method for Natural Convection Problems
Author/s | Chacón Rebollo, Tomás
Gómez Mármol, María Macarena Hecht, Frédéric Rubino, Samuele Sánchez Muñoz, Isabel María |
Department | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico |
Publication Date | 2017-06-05 |
Deposit Date | 2022-10-28 |
Published in |
|
Abstract | In 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 ... In 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. |
Citation | Chacón 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. |
Files | Size | Format | View | Description |
---|---|---|---|---|
A High-Order Local Projection ... | 1.331Mb | [PDF] | View/ | |