Bistability in radiatively heated melt ponds

Fuente: arXiv
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Main Authors: Yang, Rui, Howland, Christopher J., Liu, Hao-Ran, Verzicco, Roberto, Lohse, Detlef
Format: Preprint
Published: 2025
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author Yang, Rui
Howland, Christopher J.
Liu, Hao-Ran
Verzicco, Roberto
Lohse, Detlef
author_facet Yang, Rui
Howland, Christopher J.
Liu, Hao-Ran
Verzicco, Roberto
Lohse, Detlef
contents Melting and solidification processes, intertwined with convective flows, play a fundamental role in geophysical contexts. One of these processes is the formation of melt ponds on glaciers, ice shelves, and sea ice. It is driven by solar radiation and is of great significance for the Earth's heat balance, as it significantly lowers the albedo. Through direct numerical simulations and theoretical analysis, we unveil a bistability phenomenon in the melt pond dynamics. As solar radiation intensity and the melt pond's initial depth vary, an abrupt transition occurs: This tipping point transforms the system from a stable fully frozen state to another stable equilibrium state, characterized by a distinct melt pond depth. The physics of this transition can be understood within a heat flux balance model, which exhibits excellent agreement with our numerical results. Together with the Grossmann-Lohse theory for internally heated convection, the model correctly predicts the bulk temperature and the flow strength within the melt ponds, offering insight into the coupling of phase transitions with adjacent turbulent flows and the interplay between convective melting and radiation-driven processes.
format Preprint
id arxiv_https___arxiv_org_abs_2506_14093
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Bistability in radiatively heated melt ponds
Yang, Rui
Howland, Christopher J.
Liu, Hao-Ran
Verzicco, Roberto
Lohse, Detlef
Fluid Dynamics
Melting and solidification processes, intertwined with convective flows, play a fundamental role in geophysical contexts. One of these processes is the formation of melt ponds on glaciers, ice shelves, and sea ice. It is driven by solar radiation and is of great significance for the Earth's heat balance, as it significantly lowers the albedo. Through direct numerical simulations and theoretical analysis, we unveil a bistability phenomenon in the melt pond dynamics. As solar radiation intensity and the melt pond's initial depth vary, an abrupt transition occurs: This tipping point transforms the system from a stable fully frozen state to another stable equilibrium state, characterized by a distinct melt pond depth. The physics of this transition can be understood within a heat flux balance model, which exhibits excellent agreement with our numerical results. Together with the Grossmann-Lohse theory for internally heated convection, the model correctly predicts the bulk temperature and the flow strength within the melt ponds, offering insight into the coupling of phase transitions with adjacent turbulent flows and the interplay between convective melting and radiation-driven processes.
title Bistability in radiatively heated melt ponds
topic Fluid Dynamics
url https://arxiv.org/abs/2506.14093