Md. Sujaat Ali, Renan De Holanda Sousa, Maha Awad, Ricardo Camarero
and Jean-Yves Trépanier
Article (2024)
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Abstract
Immersed boundary (IB) methods have been successfully implemented for different applications. This paper focuses on the immersed boundary implementation for two different governing equations, namely the diffusion equation and Euler equations, using a bi-linear interpolation for the implementation of the boundary condition. The concept of implicit interpolation is introduced which eradicates the problems faced with the explicit interpolation in which it is required to move away from the boundary in the fluid domain in order to complete the interpolation stencil.
Uncontrolled Keywords
bi-linear interpolation; computational fluid dynamics; immersed boundary method; inviscid flow; roe scheme
| Subjects: | 2100 Mechanical engineering > 2100 Mechanical engineering |
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| Department: | Department of Mechanical Engineering |
| Funders: | GE Grid Solutions, Arc Technology Research Centre (France) |
| PolyPublie URL: | https://publications.polymtl.ca/58184/ |
| Journal Title: | Journal of engineering mathematics (vol. 146) |
| Publisher: | Springer Nature |
| DOI: | 10.1007/s10665-024-10357-z |
| Official URL: | https://doi.org/10.1007/s10665-024-10357-z |
| Date Deposited: | 28 May 2024 10:50 |
| Last Modified: | 30 May 2024 17:12 |
| Cite in APA 7: | Ali, M. S., De Holanda Sousa, R., Awad, M., Camarero, R., & Trépanier, J.-Y. (2024). Implicit interpolation method for immersed boundary methods. Journal of engineering mathematics, 146, 5 (21 pages). https://doi.org/10.1007/s10665-024-10357-z |
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