Year: 2012
Author: Kazufumi Ito, Zhilin Li, Zhonghua Qiao
Advances in Applied Mathematics and Mechanics, Vol. 4 (2012), Iss. 1 : pp. 21–35
Abstract
In this paper, numerical sensitivity analysis with respect to the Reynolds number for the flow past obstacle problem is presented. To carry out such analysis, at each time step, we need to solve the incompressible Navier-Stokes equations on irregular domains twice, one for the primary variables; the other is for the sensitivity variables with homogeneous boundary conditions. The Navier-Stokes solver is the augmented immersed interface method for Navier-Stokes equations on irregular domains. One of the most important contributions of this paper is that our analysis can predict the critical Reynolds number at which the vortex shading begins to develop in the wake of the obstacle. Some interesting experiments are shown to illustrate how the critical Reynolds number varies with different geometric settings.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/aamm.11-m1110
Advances in Applied Mathematics and Mechanics, Vol. 4 (2012), Iss. 1 : pp. 21–35
Published online: 2012-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 15
Keywords: Navier-Stokes equations sensitivity analysis flow past cylinder embedding technique immersed interface method irregular domain augmented system projection method fluid-solid interaction.
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