Finite element analysis of laminar and turbulent flows using LES and subgrid-scale models |
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Authors: | TL Popiolek AM Awruch PRF Teixeira |
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Institution: | 1. Department of Mathematics, Federal University Foundation of Rio Grande, Av. Itália km 8, 96200-000 Rio Grande, RS Brazil;2. Graduate Program in Civil Engineering, Federal University of Rio Grande do Sul, Av. Osvaldo Aranha 99 -3° andar, 90035-190, Porto Alegre, RS, Brazil |
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Abstract: | Numerical simulations of laminar and turbulent flows in a lid driven cavity and over a backward-facing step are presented in this work. The main objectives of this research are to know more about the structure of turbulent flows, to identify their three-dimensional characteristic and to study physical effects due to heat transfer. The filtered Navier–Stokes equations are used to simulate large scales, however they are supplemented by subgrid-scale (SGS) models to simulate the energy transfer from large scales toward subgrid-scales, where this energy will be dissipated by molecular viscosity. Two SGS models are applied: the classical Smagorinsky’s model and the Dynamic model for large eddy simulation (LES). Both models are implemented in a three-dimensional finite element code using linear tetrahedral elements. Qualitative and quantitative aspects of two and three-dimensional flows in a lid-driven cavity and over a backward-facing step, using LES, are analyzed comparing numerical and experimental results obtained by other authors. |
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Keywords: | Laminar and turbulent flows Large eddy simulation Finite elements Subgrid-scale model |
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