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Recent Advances in ALE-VMS and ST-VMS Computational Aerodynamic and FSI Analysis of Wind Turbines

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Frontiers in Computational Fluid-Structure Interaction and Flow Simulation

Abstract

We describe the recent advances made by our teams in ALE-VMS and ST-VMS computational aerodynamic and fluid–structure interaction (FSI) analysis of wind turbines. The ALE-VMS method is the variational multiscale version of the Arbitrary Lagrangian–Eulerian method. The VMS components are from the residual-based VMS method. The ST-VMS method is the VMS version of the Deforming-Spatial-Domain/Stabilized Space–Time method. The ALE-VMS and ST-VMS serve as the core methods in the computations. They are complemented by special methods that include the ALE-VMS versions for stratified flows, sliding interfaces and weak enforcement of Dirichlet boundary conditions, ST Slip Interface (ST-SI) method, NURBS-based isogeometric analysis, ST/NURBS Mesh Update Method (STNMUM), Kirchhoff–Love shell modeling of wind-turbine structures, and full FSI coupling. The VMS feature of the ALE-VMS and ST-VMS addresses the computational challenges associated with the multiscale nature of the unsteady flow, and the moving-mesh feature of the ALE and ST frameworks enables high-resolution computation near the rotor surface. The ST framework, in a general context, provides higher-order accuracy. The ALE-VMS version for sliding interfaces and the ST-SI enable moving-mesh computation of the spinning rotor. The mesh covering the rotor spins with it, and the sliding interface or the SI between the spinning mesh and the rest of the mesh accurately connects the two sides of the solution. The ST-SI also enables prescribing the fluid velocity at the turbine rotor surface as weakly-enforced Dirichlet boundary condition. The STNMUM enables exact representation of the mesh rotation. The analysis cases reported include both the horizontal-axis and vertical-axis wind turbines, stratified and unstratified flows, standalone wind turbines, wind turbines with tower or support columns, aerodynamic interaction between two wind turbines, and the FSI between the aerodynamics and structural dynamics of wind turbines. Comparisons with experimental data are also included where applicable. The reported cases demonstrate the effectiveness of the ALE-VMS and ST-VMS computational analysis in wind-turbine aerodynamics and FSI.

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  106. K. Takizawa, M. Fritze, D. Montes, T. Spielman, and T.E. Tezduyar, “Fluid–structure interaction modeling of ringsail parachutes with disreefing and modified geometric porosity”, Computational Mechanics, 50 (2012) 835–854, https://doi.org/10.1007/s00466-012-0761-3.

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  107. K. Takizawa, T.E. Tezduyar, J. Boben, N. Kostov, C. Boswell, and A. Buscher, “Fluid–structure interaction modeling of clusters of spacecraft parachutes with modified geometric porosity”, Computational Mechanics, 52 (2013) 1351–1364, https://doi.org/10.1007/s00466-013-0880-5.

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  110. K. Takizawa, T.E. Tezduyar, C. Boswell, R. Kolesar, and K. Montel, “FSI modeling of the reefed stages and disreefing of the Orion spacecraft parachutes”, Computational Mechanics, 54 (2014) 1203–1220, https://doi.org/10.1007/s00466-014-1052-y.

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  112. K. Takizawa, T.E. Tezduyar, and R. Kolesar, “FSI modeling of the Orion spacecraft drogue parachutes”, Computational Mechanics, 55 (2015) 1167–1179, https://doi.org/10.1007/s00466-014-1108-z.

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  113. K. Takizawa, B. Henicke, D. Montes, T.E. Tezduyar, M.-C. Hsu, and Y. Bazilevs, “Numerical-performance studies for the stabilized space–time computation of wind-turbine rotor aerodynamics”, Computational Mechanics, 48 (2011) 647–657, https://doi.org/10.1007/s00466-011-0614-5.

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  114. K. Takizawa, T.E. Tezduyar, S. McIntyre, N. Kostov, R. Kolesar, and C. Habluetzel, “Space–time VMS computation of wind-turbine rotor and tower aerodynamics”, Computational Mechanics, 53 (2014) 1–15, https://doi.org/10.1007/s00466-013-0888-x.

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  115. K. Takizawa, Y. Bazilevs, T.E. Tezduyar, M.-C. Hsu, O. Øiseth, K.M. Mathisen, N. Kostov, and S. McIntyre, “Engineering analysis and design with ALE-VMS and space–time methods”, Archives of Computational Methods in Engineering, 21 (2014) 481–508, https://doi.org/10.1007/s11831-014-9113-0.

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  117. K. Takizawa, T.E. Tezduyar, H. Mochizuki, H. Hattori, S. Mei, L. Pan, and K. Montel, “Space–time VMS method for flow computations with slip interfaces (ST-SI)”, Mathematical Models and Methods in Applied Sciences, 25 (2015) 2377–2406, https://doi.org/10.1142/S0218202515400126.

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  118. K. Takizawa, B. Henicke, A. Puntel, T. Spielman, and T.E. Tezduyar, “Space–time computational techniques for the aerodynamics of flapping wings”, Journal of Applied Mechanics, 79 (2012) 010903, https://doi.org/10.1115/1.4005073.

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  119. K. Takizawa, B. Henicke, A. Puntel, N. Kostov, and T.E. Tezduyar, “Space–time techniques for computational aerodynamics modeling of flapping wings of an actual locust”, Computational Mechanics, 50 (2012) 743–760, https://doi.org/10.1007/s00466-012-0759-x.

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  121. K. Takizawa, N. Kostov, A. Puntel, B. Henicke, and T.E. Tezduyar, “Space–time computational analysis of bio-inspired flapping-wing aerodynamics of a micro aerial vehicle”, Computational Mechanics, 50 (2012) 761–778, https://doi.org/10.1007/s00466-012-0758-y.

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  122. K. Takizawa, T.E. Tezduyar, and N. Kostov, “Sequentially-coupled space–time FSI analysis of bio-inspired flapping-wing aerodynamics of an MAV”, Computational Mechanics, 54 (2014) 213–233, https://doi.org/10.1007/s00466-014-0980-x.

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  124. K. Takizawa, T.E. Tezduyar, and A. Buscher, “Space–time computational analysis of MAV flapping-wing aerodynamics with wing clapping”, Computational Mechanics, 55 (2015) 1131–1141, https://doi.org/10.1007/s00466-014-1095-0.

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  125. K. Takizawa, Y. Bazilevs, T.E. Tezduyar, C.C. Long, A.L. Marsden, and K. Schjodt, “ST and ALE-VMS methods for patient-specific cardiovascular fluid mechanics modeling”, Mathematical Models and Methods in Applied Sciences, 24 (2014) 2437–2486, https://doi.org/10.1142/S0218202514500250.

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  126. K. Takizawa, K. Schjodt, A. Puntel, N. Kostov, and T.E. Tezduyar, “Patient-specific computer modeling of blood flow in cerebral arteries with aneurysm and stent”, Computational Mechanics, 50 (2012) 675–686, https://doi.org/10.1007/s00466-012-0760-4.

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  127. K. Takizawa, K. Schjodt, A. Puntel, N. Kostov, and T.E. Tezduyar, “Patient-specific computational analysis of the influence of a stent on the unsteady flow in cerebral aneurysms”, Computational Mechanics, 51 (2013) 1061–1073, https://doi.org/10.1007/s00466-012-0790-y.

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  128. H. Suito, K. Takizawa, V.Q.H. Huynh, D. Sze, and T. Ueda, “FSI analysis of the blood flow and geometrical characteristics in the thoracic aorta”, Computational Mechanics, 54 (2014) 1035–1045, https://doi.org/10.1007/s00466-014-1017-1.

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  129. K. Takizawa, T.E. Tezduyar, H. Uchikawa, T. Terahara, T. Sasaki, K. Shiozaki, A. Yoshida, K. Komiya, and G. Inoue, “Aorta flow analysis and heart valve flow and structure analysis”, to appear in a special volume to be published by Springer, 2018.

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  130. K. Takizawa, T.E. Tezduyar, A. Buscher, and S. Asada, “Space–time fluid mechanics computation of heart valve models”, Computational Mechanics, 54 (2014) 973–986, https://doi.org/10.1007/s00466-014-1046-9.

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  131. K. Takizawa, T.E. Tezduyar, T. Terahara, and T. Sasaki, “Heart valve flow computation with the Space–Time Slip Interface Topology Change (ST-SI-TC) method and Isogeometric Analysis (IGA)”, in P. Wriggers and T. Lenarz, editors, Biomedical Technology: Modeling, Experiments and Simulation, Lecture Notes in Applied and Computational Mechanics, 77–99, Springer, 2018, ISBN: 978-3-319-59547-4.

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  134. K. Takizawa, T.E. Tezduyar, T. Kuraishi, S. Tabata, and H. Takagi, “Computational thermo-fluid analysis of a disk brake”, Computational Mechanics, 57 (2016) 965–977, https://doi.org/10.1007/s00466-016-1272-4.

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Acknowledgements

First and second authors wish to thank the Texas Advanced Computing Center (TACC) and the San Diego Supercomputing Center (SDSC) for providing HPC resources that have contributed to the research results reported in this paper. The second author acknowledges the support of the AFOSR Award FA9550-16-1-0131 and ARO grant W911NF-14-1-0296. The work on the ST computational analysis was supported (third and fourth authors) in part by Grant-in-Aid for Challenging Exploratory Research 16K13779 from Japan Society for the Promotion of Science; Grant-in-Aid for Scientific Research (S) 26220002 from the Ministry of Education, Culture, Sports, Science and Technology of Japan (MEXT); Council for Science, Technology and Innovation (CSTI), Cross-Ministerial Strategic Innovation Promotion Program (SIP), “Innovative Combustion Technology” (Funding agency: JST); and Rice–Waseda research agreement (third author). The work on the ST computational analysis was also supported (fourth author) in part by ARO Grant W911NF-17-1-0046 and Top Global University Project of Waseda University.

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Authors and Affiliations

  1. Department of Mechanical and Manufacturing Engineering, University of Calgary, Calgary, AB, Canada

    Artem Korobenko

  2. School of Engineering, Brown University, Providence, RI, USA

    Yuri Bazilevs

  3. Department of Modern Mechanical Engineering, Waseda University, Shinjuku-ku, Tokyo, Japan

    Kenji Takizawa

  4. Mechanical Engineering, Rice University, Houston, TX, USA

    Tayfun E. Tezduyar

  5. Faculty of Science and Engineering, Waseda University, Shinjuku-ku, Tokyo, Japan

    Tayfun E. Tezduyar

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  1. Artem Korobenko
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  2. Yuri Bazilevs
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  3. Kenji Takizawa
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  4. Tayfun E. Tezduyar
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Correspondence to Artem Korobenko .

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  1. Mechanical Engineering, Rice University, Houston, TX, USA

    Tayfun E. Tezduyar

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Korobenko, A., Bazilevs, Y., Takizawa, K., Tezduyar, T.E. (2018). Recent Advances in ALE-VMS and ST-VMS Computational Aerodynamic and FSI Analysis of Wind Turbines. In: Tezduyar, T. (eds) Frontiers in Computational Fluid-Structure Interaction and Flow Simulation. Modeling and Simulation in Science, Engineering and Technology. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-96469-0_7

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