A sensitivity study of the Navier–Stokes-α model. (15th January 2018)

• Record Type: Journal Article
• Authors: Breckling, Sean; Neda, Monika; Pahlevani, Fran
• Is Part Of: Computers & mathematics with applications. Volume 75:issue 2(2018)
• Page Start: 666
• Page End: 689
• Publication Date: 2018-01-15
• Subjects: Electronic data processing -- Periodicals; Mathematics -- Data processing -- Periodicals; 510.28541
• DOI: 10.1016/j.camwa.2017.09.036
• Languages: English
• ISSNs: 0898-1221

Abstract

Abstract: We present a sensitivity study of the Navier Stokes- α model with respect to perturbations of the differential filter length α . The parameter-sensitivity is evaluated using the sensitivity equations method. Once formulated, the sensitivity equations are discretized and computed alongside the NS α model using the same finite elements in space, and Crank–Nicolson in time. We provide a complete stability analysis of the scheme, along with the results of several benchmark problems in both 2D and 3D. We further demonstrate a practical technique to utilize sensitivity calculations to determine the reliability of the NS α model in problem-specific settings. Lastly, we investigate the sensitivity and reliability of important functionals of the velocity and pressure solutions.