Compressible-flow geometric-porosity modeling and spacecraft parachute computation with isogeometric discretization

Taro Kanai, Kenji Takizawa*, Tayfun E. Tezduyar, Tatsuya Tanaka, Aaron Hartmann

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

61 Citations (Scopus)


One of the challenges in computational fluid–structure interaction (FSI) analysis of spacecraft parachutes is the “geometric porosity,” a design feature created by the hundreds of gaps and slits that the flow goes through. Because FSI analysis with resolved geometric porosity would be exceedingly time-consuming, accurate geometric-porosity modeling becomes essential. The geometric-porosity model introduced earlier in conjunction with the space–time FSI method enabled successful computational analysis and design studies of the Orion spacecraft parachutes in the incompressible-flow regime. Recently, porosity models and ST computational methods were introduced, in the context of finite element discretization, for compressible-flow aerodynamics of parachutes with geometric porosity. The key new component of the ST computational framework was the compressible-flow ST slip interface method, introduced in conjunction with the compressible-flow ST SUPG method. Here, we integrate these porosity models and ST computational methods with isogeometric discretization. We use quadratic NURBS basis functions in the computations reported. This gives us a parachute shape that is smoother than what we get from a typical finite element discretization. In the flow analysis, the combination of the ST framework, NURBS basis functions, and the SUPG stabilization assures superior computational accuracy. The computations we present for a drogue parachute show the effectiveness of the porosity models, ST computational methods, and the integration with isogeometric discretization.

Original languageEnglish
Pages (from-to)301-321
Number of pages21
JournalComputational Mechanics
Issue number2
Publication statusPublished - 2019 Feb 15


  • Compressible-flow space–time SUPG method
  • Compressible-flow space–time slip interface method
  • Drogue parachute
  • Geometric-porosity modeling
  • Isogeometric discretization
  • Spacecraft parachute

ASJC Scopus subject areas

  • Computational Mechanics
  • Ocean Engineering
  • Mechanical Engineering
  • Computational Theory and Mathematics
  • Computational Mathematics
  • Applied Mathematics


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