Abstract
The Swift–Hohenberg equation accurately models the formation and evolution of patterns in a wide range of systems. However, in the field of fluid dynamics, two particular patterns arise during the Rayleigh-Bénard convection, rolls and hexagons, and the formation of both has been simulated in this work. The Swift–Hohenberg (S–H) equation is a nonlinear partial differential equation of fourth order, and through an implicit finite differences method it has been numerically solved. A set of snapshots of the evolution of these patterns is shown.
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References
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Acknowledgments
We want to express our gratitude to Prof. Pablo de la Mora for his invaluable help and DGAPA-UNAM for their financial support under grant PAPIIT-IN110210.
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Sánchez Pérez-Moreno, S., Ruiz Chavarría, S., Ruiz Chavarría, G. (2014). Numerical Solution of the Swift–Hohenberg Equation. In: Klapp, J., Medina, A. (eds) Experimental and Computational Fluid Mechanics. Environmental Science and Engineering(). Springer, Cham. https://doi.org/10.1007/978-3-319-00116-6_36
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DOI: https://doi.org/10.1007/978-3-319-00116-6_36
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