Numerical Analysis of Flow Around Bluff Bodies with 4th and 2nd order compact formulations

Year 2018, Volume: 22 Issue: 5, 1234 - 1252, 01.10.2018

Erman Aslan , İlker İnan İlyas Kandemir , Hasan Rıza Güven

https://doi.org/10.16984/saufenbilder.334449

Abstract

In the present study, fourth-order compact
formulation has been improved for Navier-Stokes (N-S) equations, which is
expressed for two-dimensional, steady, incompressible flow problems. N-S
equation system has been expressed with Stream Function-Vorticity Approach
using Finite Difference Method (FDM) from the numerical methods. In order to test the functionality and
applicability of the improved numerical formulation, a sample for submerged
bluff bodies, flow problem around cylinder with square cross-section was chosen
as a benchmark problem. As a result of applying improved numerical formulation
with Gauss-Seidel Relaxation Method was used for this benchmark problem. The benchmark problem was also solved
with second-order accuracy and obtained numerical results were compared with
fourth-order accuracy numerical results. With the same Reynolds Number and the
same free-stream velocity values, fourth-order numerical results are more
convergent than second-order numerical results. Furthermore, in the flow field
for considered benchmark problem, separation bubble length that consisted in
the wake region is increased proportionally depending on the alteration of the
Reynolds Number values.

Keywords

Akım Fonsiyonu-Vortisite Formülasyonu, Küt Cisim Etrafındaki Akış, Daimi Akış, Sıkıştırılamaz Akış

References

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