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Engineering Analysis and Design with ALE-VMS and Space–Time Methods

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Abstract

Flow problems with moving boundaries and interfaces include fluid–structure interaction (FSI) and a number of other classes of problems, have an important place in engineering analysis and design, and offer some formidable computational challenges. Bringing solution and analysis to them motivated the Deforming-Spatial-Domain/Stabilized Space–Time (DSD/SST) method and also the variational multiscale version of the Arbitrary Lagrangian–Eulerian method (ALE-VMS). Since their inception, these two methods and their improved versions have been applied to a diverse set of challenging problems with a common core computational technology need. The classes of problems solved include free-surface and two-fluid flows, fluid–object and fluid–particle interaction, FSI, and flows with solid surfaces in fast, linear or rotational relative motion. Some of the most challenging FSI problems, including parachute FSI, wind-turbine FSI and arterial FSI, are being solved and analyzed with the DSD/SST and ALE-VMS methods as core technologies. Better accuracy and improved turbulence modeling were brought with the recently-introduced VMS version of the DSD/SST method, which is called DSD/SST-VMST (also ST-VMS). In specific classes of problems, such as parachute FSI, arterial FSI, ship hydrodynamics, fluid–object interaction, aerodynamics of flapping wings, and wind-turbine aerodynamics and FSI, the scope and accuracy of the FSI modeling were increased with the special ALE-VMS and ST FSI techniques targeting each of those classes of problems. This article provides an overview of the core ALE-VMS and ST FSI techniques, their recent versions, and the special ALE-VMS and ST FSI techniques. It also provides examples of challenging problems solved and analyzed in parachute FSI, arterial FSI, ship hydrodynamics, aerodynamics of flapping wings, wind-turbine aerodynamics, and bridge-deck aerodynamics and vortex-induced vibrations.

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Notes

  1. In [143] the results are reported in terms of the Speed–Length Ratio (SLR), \(u/\sqrt{L}\), which is a dimensional quantity. Here we chose to report the results in terms of the Froude number, which is non-dimensional.

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Acknowledgments

This work was supported in part by NASA JSC grant NNX13AD87G. Method development and evaluation components of the work on aerodynamics of flapping wings and wind-turbine aerodynamics were supported in part by ARO Grant W911NF-12-1-0162 (TT) and Rice–Waseda research agreement (KT). The development and application of FOI techniques for bridge aerodynamics was supported by the program for preferred research areas at the Faculty of Engineering Science and Technology, the Norwegian University of Science and Technology. The research work on free-surface FOI was supported by the ARO Grant W911NF-11-1-0083 (YB). We wish to thank the Texas Advanced Computing Center (TACC) at the University of Texas at Austin, the San Diego Supercomputer Center (SDSC) at the University of California, San Diego, and the Norwegian Metacenter for Computational Science (Notur) for providing some of the HPC resources used. We thank Professor Fabrizio Gabbiani and Dr. Raymond Chan (Baylor College of Medicine) for providing us the digital data extracted from the wind-tunnel videos of the locust.

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Authors and Affiliations

  1. Department of Modern Mechanical Engineering and Waseda Institute for Advanced Study, Waseda University, 1-6-1 Nishi-Waseda, Shinjuku-ku, Tokyo , 169-8050, Japan

    Kenji Takizawa

  2. Department of Structural Engineering, University of California, San Diego, 9500 Gilman Drive, La Jolla, CA , 92093, USA

    Yuri Bazilevs

  3. Mechanical Engineering, Rice University – MS 321, 6100 Main Street, Houston, TX , 77005, USA

    Tayfun E. Tezduyar, Nikolay Kostov & Spenser McIntyre

  4. Department of Mechanical Engineering, Iowa State University, 2025 Black Engineering, Ames, IA , 50011, USA

    Ming-Chen Hsu

  5. Department of Structural Engineering, Norwegian University of Science and Technology, 7491 , Trondheim, Norway

    Ole Øiseth & Kjell M. Mathisen

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  1. Kenji Takizawa
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Correspondence to Kenji Takizawa.

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Takizawa, K., Bazilevs, Y., Tezduyar, T.E. et al. Engineering Analysis and Design with ALE-VMS and Space–Time Methods. Arch Computat Methods Eng 21, 481–508 (2014). https://doi.org/10.1007/s11831-014-9113-0

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