Journal
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
Volume 261, Issue -, Pages 132-141Publisher
ELSEVIER SCIENCE SA
DOI: 10.1016/j.cma.2013.02.018
Keywords
Reduced basis approximation; Bifurcation; Rayleigh-Benard; Kolmogorov width; Flow problem; Model reduction
Funding
- MIC (Spanish Government) [MTM2009-13084]
- RDEF funds
- ApProCEM [FP7-PEOPLE - PIEF-GA-2010-276487]
Ask authors/readers for more resources
The reduced basis approximation is a discretization method that can be implemented for solving parameter-dependent problems in cases of many queries. In this work it is applied to a two dimensional Rayleigh-Benard problem that depends on the Rayleigh number, which measures buoyancy. For each fixed aspect ratio, multiple steady solutions can be found for different Rayleigh numbers and stable solutions coexist at the same values of external physical parameters. The reduced basis method permits to speed up the computations of these solutions at any value of the Rayleigh number chosen in a fixed interval associated with a single bifurcation branch while maintaining accuracy. (C) 2013 Published by Elsevier B.V.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available