Transient almost-invariant sets reveal convective heat transfer patterns in plane-layer Rayleigh-Bénard convection
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| Main Authors: | , , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866915535825928192 |
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| author | Badza, Aleksandar Froyland, Gary Samuel, Roshan J. Schumacher, Jörg |
| author_facet | Badza, Aleksandar Froyland, Gary Samuel, Roshan J. Schumacher, Jörg |
| contents | Horizontally extended plane-layer convection flows are characterized by characteristic patterns of turbulent heat transfer due to the convective fluid motion consisting of a nearly-regular ridge network where hot fluid rises and cold fluid sinks. Here, we analyse this transport behavior by the so-called inflated generator framework, which identifies quasi-stationary families of almost-invariant sets, derived from leading inflated generator eigenvectors. We demonstrate the effectiveness of this data-driven analysis framework in three-dimensional turbulent flow, by extracting transient characteristic heat transfer patterns as families of almost-invariant sets subject to a transient evolution, which contribute least to the convective heat transfer. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2510_05590 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Transient almost-invariant sets reveal convective heat transfer patterns in plane-layer Rayleigh-Bénard convection Badza, Aleksandar Froyland, Gary Samuel, Roshan J. Schumacher, Jörg Fluid Dynamics Dynamical Systems 37N10 (Primary), 37M25, 76R10 (Secondary) Horizontally extended plane-layer convection flows are characterized by characteristic patterns of turbulent heat transfer due to the convective fluid motion consisting of a nearly-regular ridge network where hot fluid rises and cold fluid sinks. Here, we analyse this transport behavior by the so-called inflated generator framework, which identifies quasi-stationary families of almost-invariant sets, derived from leading inflated generator eigenvectors. We demonstrate the effectiveness of this data-driven analysis framework in three-dimensional turbulent flow, by extracting transient characteristic heat transfer patterns as families of almost-invariant sets subject to a transient evolution, which contribute least to the convective heat transfer. |
| title | Transient almost-invariant sets reveal convective heat transfer patterns in plane-layer Rayleigh-Bénard convection |
| topic | Fluid Dynamics Dynamical Systems 37N10 (Primary), 37M25, 76R10 (Secondary) |
| url | https://arxiv.org/abs/2510.05590 |