Archives of Computational Methods in Engineering

, Volume 21, Issue 4, pp 481–508

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

  • Kenji Takizawa
  • Yuri Bazilevs
  • Tayfun E. Tezduyar
  • Ming-Chen Hsu
  • Ole Øiseth
  • Kjell M. Mathisen
  • Nikolay Kostov
  • Spenser McIntyre
Article

DOI: 10.1007/s11831-014-9113-0

Cite this article as:
Takizawa, K., Bazilevs, Y., Tezduyar, T.E. et al. Arch Computat Methods Eng (2014) 21: 481. doi:10.1007/s11831-014-9113-0

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.

Copyright information

© CIMNE, Barcelona, Spain 2014

Authors and Affiliations

  • Kenji Takizawa
    • 1
  • Yuri Bazilevs
    • 2
  • Tayfun E. Tezduyar
    • 3
  • Ming-Chen Hsu
    • 4
  • Ole Øiseth
    • 5
  • Kjell M. Mathisen
    • 5
  • Nikolay Kostov
    • 3
  • Spenser McIntyre
    • 3
  1. 1.Department of Modern Mechanical Engineering and Waseda Institute for Advanced StudyWaseda UniversityTokyo Japan
  2. 2.Department of Structural EngineeringUniversity of California, San DiegoLa JollaUSA
  3. 3.Mechanical EngineeringRice University – MS 321HoustonUSA
  4. 4.Department of Mechanical EngineeringIowa State UniversityAmesUSA
  5. 5.Department of Structural EngineeringNorwegian University of Science and TechnologyTrondheimNorway