An Immersed Boundary Method Based on Parallel Adaptive Cartesian Grids for High Reynolds Number Turbulent Flow

Abstract

In this paper, a set of parallelised adaptive hierarchical Cartesian-based immersed boundary methodology is developed for high Reynolds number compressible flow. First, a robust and efficient grid generation method based on the separation axis theorem for arbitrary geometry is presented for automatic Cartesian grid generation. Second, an immersed boundary method (IBM) is presented coupling with wall model for high Reynolds number flow. Third, a parallel strategy is implemented and special treatment is proposed to guarantee large-scale computing. Finally, cell-based adaptive mesh refinement (AMR) technology is used to capture fluid phenomena under different regimes including but not limited to shock waves and vortices. The overall performance of the methodology is tested through a wide range of regimes including transonic and supersonic flow with high Reynolds number in both two and three dimensions. Results are in good agreement with reference data and indicate the capability and robustness of the present methodology.

KEYWORDS:

• Cartesian grid generation
• immersed boundary method
• wall model
• high Reynolds number
• adaptive mesh refinement

Acknowledgements

The authors are very grateful to the anonymous referee whose constructive comments were very valuable for improving the quality of the paper.

Disclosure statement

No potential conflict of interest was reported by the author(s).

Additional information

Funding

This work was supported by Research Fund of State Key Laboratory of Mechanics and Control of Mechanical Structures (Nanjing University of Aeronautics and Astronautics) [grant number MCMS-I-0120G01]; Postgraduate Research & Practice Innovation Program of Jiangsu Province  [grant number KYCX21-0181].