TY - JOUR
T1 - The Sensitivity Analysis for the Flow Past Obstacles Problem with Respect to the Reynolds Number
AU - Ito , Kazufumi
AU - Li , Zhilin
AU - Qiao , Zhonghua
JO - Advances in Applied Mathematics and Mechanics
VL - 1
SP - 21
EP - 35
PY - 2012
DA - 2012/04
SN - 4
DO - http://doi.org/10.4208/aamm.11-m1110
UR - https://global-sci.org/intro/article_detail/aamm/104.html
KW - Navier-Stokes equations, sensitivity analysis, flow past cylinder, embedding technique, immersed interface method, irregular domain, augmented system, projection method,
fluid-solid interaction.
AB - <p style="text-align: justify;">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.</p>