Immersogeometric Analysis using 
B-Rep Models and Point Clouds

Immersogeometric analysis (IMGA) is a geometrically flexible technique for solving FSI problems involving large, complex structural deformations. The method analyzes a surface representation of the structure by immersing it into a non-boundary-fitted discretization of the background fluid domain and focuses on accurately capturing the immersed geometry within non-boundary-fitted analysis meshes. The method is further extended in the context of a tetrahedral finite cell approach for the simulation of incompressible and compressible flows, both laminar and turbulent, around geometrically complex objects. Creating a boundary-fitted fluid-domain mesh that accurately captures all the features of the design model is often time-consuming and labor-intensive. Very often, small and thin geometric features are difficult to discretize and require extensive geometry cleanup, defeaturing, and mesh manipulation. The immersogeometric method is proposed to eliminate these cumbersome mesh generation procedures from the CFD and FSI simulation pipeline while still maintaining high accuracy of the simulation results. The method can directly analyze B-rep CAD models and has been extended recently to handle objects represented by point clouds.

Immersogeometric fluid flow (top) and heat transfer (bottom) analysis of a construction vehicle represented by point clouds

References

  1. Direct immersogeometric fluid flow and heat transfer analysis of objects represented by point cloudsComputer Methods in Applied Mechanics and Engineering, 404:115742, 2023.
  2. Industrial scale Large Eddy Simulations with adaptive octree meshes using immersogeometric analysisComputers & Mathematics with Applications, 97:28–44, 2021.
  3. An octree-based immersogeometric approach for modeling inertial migration of particles in channelsComputers & Fluids, 214:104764, 2021.
  4. An immersogeometric formulation for free-surface flows with application to marine engineering problemsComputer Methods in Applied Mechanics and Engineering, 361:112748, 2020.
  5. Immersogeometric analysis of compressible flows with application to aerodynamic simulation of rotorcraftMathematical Models and Methods in Applied Sciences, 29:905–938, 2019.
  6. Immersogeometric analysis of moving objects in incompressible flowsComputers & Fluids, 89:24–33, 2019.
  7. Rapid B-rep model preprocessing for immersogeometric analysis using analytic surfacesComputer Aided Geometric Design, 52–53:190–204, 2017.
  8. Direct immersogeometric fluid flow analysis using B-rep CAD modelsComputer Aided Geometric Design, 43:143–158, 2016.
  9. The tetrahedral finite cell method for fluids: Immersogeometric analysis of turbulent flow around complex geometries. Computers & Fluids, 141:135–154, 2016.
© Ming-Chen Hsu 2023