Abstract
Vortex structure visualization methods have been hampered by the preceding vortex identification methods which derived them. Popular vortex identification schemes like the Q-Criterion and the lambda_ci-Criterion only produce scalar quantities to express the vortex structure, hindering our ability to expand on these methods. Liutex, however, produces a vector quantity known as the Liutex vector. This Liutex vector provides more information about the vortex structure and can be processed to generate rich and informative vortex visualizations. With the Liutex vector, we can create the Liutex Core Line, which accurately represents the vortex structure. From the Liutex Core Line, we can generate the Liutex Core Tube. The Liutex Core Tube has many advantages over an iso-surface for vortex structure analysis. Information can be conveyed intuitively and clearly to the user using the Liutex Core Tube to visualize a vortex structure. Thus, using the Liutex Core Tube can allow for optimal analysis of any vortex structure.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Similar content being viewed by others
References
O. Alvarez, Y. Yu, C. Liu, Liutex-Core-Tubes for Vortex Structure. Paper presented at AIAA SCITECH 2022 Forum (2022). https://doi.org/10.2514/6.2022-0480
O. Alvarez et al., Visualizing Liutex core using Liutex lines and tubes, in Liutex and Third Generation of Vortex Definition and Identification. Springer Nature Switzerland, pp. 169–182 (2021). https://doi.org/10.1007/978-3-030-70217-5_2
O. Alvarez et al., Liutex Core Line for Vortex Structure in Turbulence. Paper presented at ASME 2021 Fluid Engineering Division Summer Meeting, (2021). https://doi.org/10.1115/FEDSM2021-66012
C. Liu et al., Rortex—A new vortex vector definition and vorticity tensor and vector decompositions. Phys. Fluids (2018)
Y. Gao, C. Liu, Rortex and comparison with eigenvalue-based vortex identification criteria. Phys. Fluids (2018)
C. Liu et al., Third generation of vortex identification methods: omega and Liutex/Rortex based systems. J. Hydrodyn. (2019)
P. Shrestha et al., Stretching and shearing contamination analysis for Liutex and other vortex identification methods. Adv. Aerodyn. 3(1), 8 (2021). https://doi.org/10.1186/s42774-020-00060-9
Y. Yu et al., Incorrectness of the second-generation vortex identification method and introduction to Liutex, in Liutex and Third Generation of Vortex Definition and Identification. Springer Nature Switzerland, pp. 37–56 (2021). https://doi.org/10.1007/978-3-030-70217-5_2
Y. Yu et al., Correlation analysis among vorticity, Q method and Liutex. J. Hydrodyn. 32(2) (2020). https://doi.org/10.1007/s42241-020-0069-2
Y. Yu et al., Investigation of correlation between vorticity, Q, λ_ci, λ_2. Δ and Liutex. Comput. Fluids 225(55), 104977 (2021). https://doi.org/10.1016/j.compfluid.2021.104977
Y. Yu, O. Alvarez, V. Patel, C. Liu, Introduction of Liutex and Third Generation of Vortex Identification Methods. Paper presented at AIAA SCITECH 2022 Forum (2022). https://doi.org/10.2514/6.2022-2012
Y. Gao et al., A Liutex based definition and identification of vortex core center lines. J. Hydrodyn. 31, 445–454 (2019). https://doi.org/10.1007/s42241-019-0048-7
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2023 The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.
About this paper
Cite this paper
Alvarez, O., Nottage, C., Liu, C. (2023). Liutex Core Tube for Vortex Visualization and Structure. In: Wang, Y., Gao, Y., Liu, C. (eds) Liutex and Third Generation of Vortex Identification. Springer Proceedings in Physics, vol 288. Springer, Singapore. https://doi.org/10.1007/978-981-19-8955-1_4
Download citation
DOI: https://doi.org/10.1007/978-981-19-8955-1_4
Published:
Publisher Name: Springer, Singapore
Print ISBN: 978-981-19-8954-4
Online ISBN: 978-981-19-8955-1
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)