Numerical study of flow across an ellipse and a circle placed in a
uniform stream of infinite extent
Abstract
As an example of an aerodynamics prototypical study, we examined a
two-dimensional low Reynolds number flow over obstacles immersed in a
stream of infinite extent. The Navier Stokes equation is being
discretized by non conforming finite element method approach. The
resulting discretized nonlinear algebraic system is being solved by
using the fixpoint method and the Newton method and multigrid method for
the linear sub-problem employed. The magnitude of the uniform upstream
velocity under the study of the problem for Reynolds number in the range
1 < Re < 100 and the angle of attack of the upstream
velocity at α = -5; 0; 5 degrees performed. Analysis of the resulting
drag and lift forces acting on obstacles with respect to the angle of
attack of the upstream velocity and the Reynolds number is made.
Moreover, the influence of one obstacle on the resulting drag and lift
coefficients of other obstacles determined. The results are being
presented in a graphical and vector form.