High-Order DG Simulations with Moving Immersed Boundaries in HORSES3D
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High-order Discontinuous Galerkin (DG) methods provide a robust framework for the simulation of complex unsteady flows due to their high-order accuracy, geometric flexibility, and suitability for modern high-performance computing architectures. However, the efficient treatment of moving and complex geometries remains a key challenge, particularly in applications involving fluid–structure interaction, rotating components, or evolving boundaries. This work explores the development of a high-order immersed boundary method (IBM) within the HORSES3D framework as an alternative to body-fitted approaches such as sliding mesh techniques. The proposed methodology enables the representation of complex and moving geometries on fixed meshes, significantly reducing meshing costs and improving computational efficiency. The formulation is also designed to be compatible with accelerator-based architectures. The immersed boundary approach is constructed to retain the low-dissipation and high-order accuracy properties of the underlying DG discretization. Its flexibility further enables straightforward coupling with wall models, making it suitable for high-Reynolds-number turbulent flows where near-wall resolution is prohibitively expensive. Verification and validation studies are presented to assess accuracy, conservation properties, and computational performance. The proposed framework broadens the applicability of HORSES3D to a wide range of industrially relevant problems involving complex and moving geometries, while maintaining computational efficiency.
