Volume 12, Issue 4
The Biharmonic Approach for Unsteady Flow Past an Impulsively Started Circular Cylinder

Jiten C Kalita & Shuvam Sen

Commun. Comput. Phys., 12 (2012), pp. 1163-1182.

Published online: 2012-12

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  • Abstract

In this paper, a newly developed second order temporally and spatially accurate finite difference scheme for biharmonic semi linear equations has been employed in simulating the time evolution of viscous flows past an impulsively started circular cylinder for Reynolds number (Re) up to 9,500. The robustness of the scheme and the effectiveness of the formulation can be gauged by the fact that it very accurately captures complex flow structures such as the von Ka´rma´n vortex street through streaklinesimulationandthe α and β-phenomena intherange3,000≤Re≤9,500among others. The main focus here is the application of the technique which enables the use of the discretized version of a single semi linear biharmonic equation in order to efficiently simulate different fluid structures associated with flows around a bluff body. We compareour results, bothqualitatively andquantitatively, with established numerical and more so with experimental results. Excellent comparison is obtained in all the cases.

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@Article{CiCP-12-1163, author = {Jiten C Kalita and Shuvam Sen}, title = {The Biharmonic Approach for Unsteady Flow Past an Impulsively Started Circular Cylinder}, journal = {Communications in Computational Physics}, year = {2012}, volume = {12}, number = {4}, pages = {1163--1182}, abstract = {

In this paper, a newly developed second order temporally and spatially accurate finite difference scheme for biharmonic semi linear equations has been employed in simulating the time evolution of viscous flows past an impulsively started circular cylinder for Reynolds number (Re) up to 9,500. The robustness of the scheme and the effectiveness of the formulation can be gauged by the fact that it very accurately captures complex flow structures such as the von Ka´rma´n vortex street through streaklinesimulationandthe α and β-phenomena intherange3,000≤Re≤9,500among others. The main focus here is the application of the technique which enables the use of the discretized version of a single semi linear biharmonic equation in order to efficiently simulate different fluid structures associated with flows around a bluff body. We compareour results, bothqualitatively andquantitatively, with established numerical and more so with experimental results. Excellent comparison is obtained in all the cases.

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.200411.121211a}, url = {http://global-sci.org/intro/article_detail/cicp/7330.html} }
TY - JOUR T1 - The Biharmonic Approach for Unsteady Flow Past an Impulsively Started Circular Cylinder AU - Jiten C Kalita & Shuvam Sen JO - Communications in Computational Physics VL - 4 SP - 1163 EP - 1182 PY - 2012 DA - 2012/12 SN - 12 DO - http://dor.org/10.4208/cicp.200411.121211a UR - https://global-sci.org/intro/cicp/7330.html KW - AB -

In this paper, a newly developed second order temporally and spatially accurate finite difference scheme for biharmonic semi linear equations has been employed in simulating the time evolution of viscous flows past an impulsively started circular cylinder for Reynolds number (Re) up to 9,500. The robustness of the scheme and the effectiveness of the formulation can be gauged by the fact that it very accurately captures complex flow structures such as the von Ka´rma´n vortex street through streaklinesimulationandthe α and β-phenomena intherange3,000≤Re≤9,500among others. The main focus here is the application of the technique which enables the use of the discretized version of a single semi linear biharmonic equation in order to efficiently simulate different fluid structures associated with flows around a bluff body. We compareour results, bothqualitatively andquantitatively, with established numerical and more so with experimental results. Excellent comparison is obtained in all the cases.

Jiten C Kalita & Shuvam Sen. (1970). The Biharmonic Approach for Unsteady Flow Past an Impulsively Started Circular Cylinder. Communications in Computational Physics. 12 (4). 1163-1182. doi:10.4208/cicp.200411.121211a
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