Multiscale Finite Element Method Applied to Detached-Eddy Simulation for Computational Wind Engineering
A multiscale finite element method is applied to the Spalart-Allmaras turbulence model based detached-eddy simulation (DES). The multiscale method arises from a decomposition of the scalar field into coarse (resolved) and fine (unresolved) scales. It corrects the lack of stability of the standard Galerkin formulation by modeling the unresolved scales that cannot be captured by a given spatial discretization. The stabilization terms appear naturally and the resulting formulation provides effective stabilization in turbulent computations, where reaction-dominated effects strongly influence the boundary layer prediction. The validation of the multiscale-based DES is carried out on a backward-facing step. The time-averaged skin friction coefficient and pressure coefficient distributions are compared with the experimental and direct numerical simulation (DNS) results. Furthermore, the potential use of multiscale DES in computational wind engineering (CWE) is investigated. High-Reynolds flow over the Commonwealth Advisory Aeronautical Council (CAARC) standard tall building model is simulated by DES with both uniform and turbulent inflow. Time-averaged pressure coefficients on the exterior walls are compared with experiments. It is demonstrated that DES is able to resolve the turbulent features of the flow and accurately predict the surface pressure distributions under atmospheric boundary layer flows.
KeywordsMultiscale method detached-eddy simulation computational wind engineering inflow turbulence generation CAARC building model
Unable to display preview. Download preview PDF.
- 5.Jovic, S., Dirver, D.M.: Backward-facing step measurement at low Reynolds number, Re h=500. NASA Tech. Memo. No. 108807, 1–24 (1994)Google Scholar
- 6.Khurram, R.A., Habashi, W.G.: Multiscale/Stabilized finite element method for Spalart-Allmaras turbulence model. In: Wall, W.A., Gravemeier, V. (eds.) International Conference on Finite Elements in Flow Problems, Book of Abstracts, Munich, Germany, vol. 120 (2011)Google Scholar
- 8.Khurram, R.A., Zhang, Y., Habashi, W.G.: Multiscale finite element method applied to Spalart-Allmaras turbulence model for 3D detached-eddy simulation. Comput. Meth. Appl. Mech. Eng. (under review)Google Scholar
- 12.Melbourne, W.H.: Comparison of measurements of the CAARC standard tall building model in simulated model wind flows. J. Wind Eng. Ind. Aerod. 6, 78–88 (1980)Google Scholar
- 14.Shiotani, M., Iwatani, Y.: Horizontal space correlations of velocity fluctuations during strong winds. J. Meteorol. Sot. Japan 54, 59–67 (1976)Google Scholar
- 15.Spalart, P.R., Allmaras, S.R.: A one-equation turbulence model for aerodynamic flows. La Recherche Aérospatiale 1, 5–21 (1994)Google Scholar
- 16.Spalart, P.R., Jou, W.H., Strelets, M., Allmaras, S.R.: Comments on the feasibility of LES for wings, and on a hybrid RANS/LES approach. In: Liu, C., Liu, Z. (eds.) Proceedings of the 1st AFOSR International Conference on DNS/LES, pp. 137–147. Greyden, Columbus (1997)Google Scholar
- 17.Strelets, M.: Detached eddy simulation of massively separated flows. AIAA-2001-0879 (2001)Google Scholar