2D Ray Tracing Algorithm as a Preprocessing Method for Wave Attractor Problems
https://doi.org/10.15514/ISPRAS-2025-37(6)-45
Abstract
Wave attractor numerical simulation is a costly problem that requires a precise calculation method as well as thorough setup parameters determination. These two facts require using preprocessing methods before CFD simulation. The coherent structure for a geometry and stratification selected will appear in a certain range of perturbation frequencies, which are typically unknown in advance. To check whether the attractor forms, one can run a ray tracing which represents the propagation of internal wave narrow beams in inviscid linear approximation of the Navier-Stokes equations. The current article describes the algorithm that can be used for the ray tracing on a wide class of problems. It is shown that this method is capable to detect specific forms of attractors under specific conditions. Additionally, a ray convergence measure estimation is proposed.
About the Author
Stepan Alekseevich ELISTRATOV
Shirshov Institute of Oceanology of the Russian Academy of Sciences,
Ivannikov Institute for System Programming of the Russian Academy of Sciences
Russian Federation
Russian Federation
Employee of the Laboratory of digital modelling of technical systems of the Institute for System Programming of the RAS since 2021. Research interests: wave attractors, CFD, applied math.
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Review
For citations:
ELISTRATOV S.A. 2D Ray Tracing Algorithm as a Preprocessing Method for Wave Attractor Problems. Proceedings of the Institute for System Programming of the RAS (Proceedings of ISP RAS). 2025;37(6):189-202. (In Russ.) https://doi.org/10.15514/ISPRAS-2025-37(6)-45
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