Tree-based Adaptive Mesh Refinement strategy for High-Order Immersed Boundary Methods

  • Kessasra, Hatem (Universidad Politécnica de Madrid)
  • Cordero-Gracia, Marta (Universidad Politécnica de Madrid)
  • Gomez Lopez, Mariola (Universidad Politécnica de Madrid)
  • Valero, Eusebio (Universidad Politécnica de Madrid)

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We present a Fortran library for tree-based adaptive mesh refinement, coarsening and 2:1 balancing on computational domains composed of multiple connected two-dimensional quadtrees and three-dimensional octrees. The library is utilised for an AMR strategy for the immersed boundary method based on a high-order spectral discretisation, by generating adaptive balanced meshes with embedded obstacles. The treatment of the non-conforming interfaces (hanging nodes) is done using a mortar element method.