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<p>We present, as a 3D application of recently introduced Complex-Geometry T-Splines Mesh Generation (CGTSMG) method, Space–Time Isogeometric Analysis (ST-IGA) of spacecraft parachute aerodynamics. The computation is for the final design of the Orion spacecraft landing parachute. The parachute canopy has hundreds of gaps and slits, which are modeled, and a wider gap and 16 “windows,” which are resolved. We first generate, manually next to the canopy surfaces and with the Complex-Geometry IGA Mesh Generation elsewhere, a quadratic B-splines mesh made of 670 patches. We then convert that, with the CGTSMG, to a T-splines mesh with <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(C^{1}\)</EquationSource> </InlineEquation> continuity across what used to be the patch boundaries, except around the extraordinary points. After that, we improve the quality by mesh relaxation with the Fiber-Reinforced Hyperelasticity Mesh Update Method. The computation is performed with the ST-IGA and ST Variational Multiscale method. The success of the mesh generation and flow computation process demonstrates the level of sophistication the ST-IGA has reached in complex-geometry flow analysis.</p>

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T-splines mesh generation for complex geometries: Spacecraft parachute aerodynamics

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年8月29日

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  • Takuya Terahara,
  • Kenji Takizawa,
  • Tayfun E. Tezduyar,
  • Reha Avsar

摘要

We present, as a 3D application of recently introduced Complex-Geometry T-Splines Mesh Generation (CGTSMG) method, Space–Time Isogeometric Analysis (ST-IGA) of spacecraft parachute aerodynamics. The computation is for the final design of the Orion spacecraft landing parachute. The parachute canopy has hundreds of gaps and slits, which are modeled, and a wider gap and 16 “windows,” which are resolved. We first generate, manually next to the canopy surfaces and with the Complex-Geometry IGA Mesh Generation elsewhere, a quadratic B-splines mesh made of 670 patches. We then convert that, with the CGTSMG, to a T-splines mesh with \(C^{1}\) continuity across what used to be the patch boundaries, except around the extraordinary points. After that, we improve the quality by mesh relaxation with the Fiber-Reinforced Hyperelasticity Mesh Update Method. The computation is performed with the ST-IGA and ST Variational Multiscale method. The success of the mesh generation and flow computation process demonstrates the level of sophistication the ST-IGA has reached in complex-geometry flow analysis.