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- W810151937 abstract "In this thesis, the flow around a cylinder is chosen as a test case for higher-ordernumerical reconstruction techniques. No direct comparison of these higher-ordermethods has been carried out for this particular test case. Especially for low Machnumber, incompressible flows with Implicit Large Eddy Simulation method. Thecylinder test case is both a proven test case in literature, as well as a test casethat can be scaled up in terms of flow speed with other parameters remainingunchanged. The scaling of flow speed around the cylinder allows ease of flowregime change. Thus the flow was modelled in this thesis from laminar flow toturbulent flow, going through a transitional regime in between.The simulations were set up such that numerical reconstruction methods couldbe directly compared to one another at the range of flow speeds, and subsequentlyin both two-dimensional and three-dimensional flows. The numericalreconstruction methods for the ILES cases ranged from first order reconstructionthrough to higher-order methods as high as ninth-order (in the weightedessentially non-oscillatory scheme). With the speed of computation for the twodimensionalsimulations, it was possible to test all of these schemes directly withone another. However, three-dimensional simulations require a significantly greaterCPU run-time. Therefore, based on the results of the two-dimensional simulations,a group of the higher-order methods were chosen for continuing analysisin the three-dimensional simulations.In the laminar flow regime, all the numerical schemes agreed very well withliterature data. As the flow speed increased, discrepancies started to appear inthe results, to varying degrees based on the flow speed, the numerical schemeused, and the dimensionality of the flow. An analysis of the results showed thattwo-dimensional simulations were suitable up to Reynolds 300. From this flow speed onwards, three-dimensional simulations are deemed necessary. At lowerReynolds number flows the two-dimensional simulations provided good predictionsof the flow. At the higher Reynolds numbers, the 3D simulations outperformedthe 2D simulations.Specific numerical reconstruction schemes were found to perform better atcertain aspects of the flow. For example, the coefficients around the cylinder orthe velocities in the wake varied based solely on the numerical scheme used.Finally, during the course of the post-processing of the simulations, a spectralanalysis was carried out. The flow field was analysed at specific points in thewake (ranging from near, medium and far wake). The spectral analysis provedsuitable for examining the fluctuations in the wake of the cylinder, showing theredistribution of energy in the wake towards higher frequencies. In addition, thewake showed increased power densities for the fluctuations as the flow movedaway from the cylinder, before then decreasing again as dissipation into the surroundingflow occurred." @default.
- W810151937 created "2016-06-24" @default.
- W810151937 creator A5003793663 @default.
- W810151937 date "2012-07-01" @default.
- W810151937 modified "2023-09-26" @default.
- W810151937 title "High-order methods for steady, unsteady and transitional flow over a cylinder" @default.
- W810151937 hasPublicationYear "2012" @default.
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