On the Scope of Lagrangian Vortex Methods for Two-Dimensional Flow Simulations and the POD Technique Application for Data Storing and Analyzing |
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Authors: | Kseniia Kuzmina Ilia Marchevsky Irina Soldatova Yulia Izmailova |
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Institution: | 1.Ivannikov Institute for System Programming of the Russian Academy of Sciences, 109004 Moscow, Russia; (K.K.); (I.S.);2.Department of Applied Mathematics, Bauman Moscow State Technical University, 105005 Moscow, Russia; |
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Abstract: | The possibilities of applying the pure Lagrangian vortex methods of computational fluid dynamics to viscous incompressible flow simulations are considered in relation to various problem formulations. The modification of vortex methods—the Viscous Vortex Domain method—is used which is implemented in the VM2D code developed by the authors. Problems of flow simulation around airfoils with different shapes at various Reynolds numbers are considered: the Blasius problem, the flow around circular cylinders at different Reynolds numbers, the flow around a wing airfoil at the Reynolds numbers and , the flow around two closely spaced circular cylinders and the flow around rectangular airfoils with a different chord to the thickness ratio. In addition, the problem of the internal flow modeling in the channel with a backward-facing step is considered. To store the results of the calculations, the POD technique is used, which, in addition, allows one to investigate the structure of the flow and obtain some additional information about the properties of flow regimes. |
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Keywords: | vortex particle method viscous vortex domain method proper orthogonal decomposition open source code Blasius boundary layer impulsively started cylinder channel with backward facing step |
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