Effects of error on the onset and evolution of Rayleigh–Taylor instability.

Sengupta, A and Sengupta, T.K. and Sengupta, S. and Mudkavi, V. (2018) Effects of error on the onset and evolution of Rayleigh–Taylor instability. Notes on Numerical Fluid Mechanics and Multidisciplinary Design, 135. pp. 233-239. ISSN 16122909

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Official URL: https://link.springer.com/chapter/10.1007/978-3-31...

Abstract

Here we investigate effects of error in simulating Rayleigh Taylor instability (RTI). The error metrics are evaluated based on the correct spectral analysis of a model equation by Sengupta et al. (J Comput Phys 226:1211–1218, 2007) [13]. The geometry for RTI consists of a rectangular box with a partition at mid-height separating two volumes of air kept at a temperature difference of 70 K. This helps avoiding Boussinesq approximation and the present time-accurate computations for compressible Navier–Stokes equation (NSE) in 2D are reported. Computations for CFL numbers of 0.09 and 0.009 shows completely different onset of RTI, while the terminal mixed stage appears similar. The difference is traced to very insignificant difference in the value of numerical amplification factor for the two CFL numbers.

Item Type: Article
Subjects: ENGINEERING > Fluid Mechanics and Thermodynamics
Depositing User: Mrs SK Pratibha
Date Deposited: 25 Feb 2020 14:23
Last Modified: 25 Feb 2020 14:23
URI: http://nal-ir.nal.res.in/id/eprint/13264

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