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A Sharp-Interface Immersed Boundary Method for High-Speed Compressible Flows

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Immersed Boundary Method

Abstract

Numerical simulation of hypersonic flows is important owing to their applications to the design of launch vehicles and re-entry capsules. We describe the development and application of a hybrid Cartesian–immersed boundary (HCIB) approach in a finite volume (FV) framework for inviscid and viscous compressible flows with a focus on the hypersonic regime. The HCIB approach employs a local one-dimensional reconstruction to obtain the near-wall solutions thereby enforcing the boundary conditions exactly on the sharp geometric interface. The role of the reconstruction on solution accuracy and discrete conservation is discussed, and the IB-FV solver is applied to several hypersonic flow problems involving inviscid as well as viscous flows. The studies demonstrate the efficacy of the HCIB approach for inviscid flows with stationary as well as moving bodies while also highlighting some of the drawbacks for heat transfer predictions in high Reynolds number flows. Some directions for future research are also outlined.

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Acknowledgements

The financial support through ISRO-RESPOND project during the course of this work is gratefully acknowledged. The authors would also like to thank Mr. Vinod Kumar and Dr. V. Ashok from VSSC Thiruvananthapuram for their valuable comments on the work.

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Correspondence to Ganesh Natarajan .

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Brahmachary, S., Natarajan, G., Kulkarni, V., Sahoo, N. (2020). A Sharp-Interface Immersed Boundary Method for High-Speed Compressible Flows. In: Roy, S., De, A., Balaras, E. (eds) Immersed Boundary Method . Computational Methods in Engineering & the Sciences. Springer, Singapore. https://doi.org/10.1007/978-981-15-3940-4_9

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  • DOI: https://doi.org/10.1007/978-981-15-3940-4_9

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-15-3939-8

  • Online ISBN: 978-981-15-3940-4

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