Solving a North-type energy balance model using boundary integral methods
<p>Simplified climate models, such as energy balance models (EBMs), are useful conceptual tools, in part because their reduced complexity often allows for studies using analytical methods. In this paper, we solve a North-type EBM using a boundary integral method (BIM). The North-type EBM is a...
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Copernicus Publications
2025-01-01
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| Series: | Nonlinear Processes in Geophysics |
| Online Access: | https://npg.copernicus.org/articles/32/23/2025/npg-32-23-2025.pdf |
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| author | A. Samuelsberg P. K. Jakobsen |
| author_facet | A. Samuelsberg P. K. Jakobsen |
| author_sort | A. Samuelsberg |
| collection | DOAJ |
| description | <p>Simplified climate models, such as energy balance models (EBMs), are useful conceptual tools, in part because their reduced complexity often allows for studies using analytical methods. In this paper, we solve a North-type EBM using a boundary integral method (BIM). The North-type EBM is a diffusive, one-dimensional EBM with a nonlinear albedo feedback mechanism. We discuss this approach in light of existing analytical techniques for this type of equation. Subsequently, we test the proposed method by solving multiple North-type EBMs with a zonally symmetric continent featuring an altered ice-albedo feedback dynamic. We demonstrate that the introduction of a continent results in new equilibrium states characterized by multiple ice edges and ice belts. Furthermore, we show that the BIM serves as an efficient framework for handling unconventional ice distributions and model configurations for North-type EBMs.</p> |
| format | Article |
| id | doaj-art-2d2cdeac05194c76b9ee976ac3ea89da |
| institution | Kabale University |
| issn | 1023-5809 1607-7946 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | Copernicus Publications |
| record_format | Article |
| series | Nonlinear Processes in Geophysics |
| spelling | doaj-art-2d2cdeac05194c76b9ee976ac3ea89da2025-01-22T11:12:09ZengCopernicus PublicationsNonlinear Processes in Geophysics1023-58091607-79462025-01-0132233310.5194/npg-32-23-2025Solving a North-type energy balance model using boundary integral methodsA. Samuelsberg0P. K. Jakobsen1Department of Mathematics and Statistics, UiT The Arctic University of Norway, Tromsø, NorwayDepartment of Mathematics and Statistics, UiT The Arctic University of Norway, Tromsø, Norway<p>Simplified climate models, such as energy balance models (EBMs), are useful conceptual tools, in part because their reduced complexity often allows for studies using analytical methods. In this paper, we solve a North-type EBM using a boundary integral method (BIM). The North-type EBM is a diffusive, one-dimensional EBM with a nonlinear albedo feedback mechanism. We discuss this approach in light of existing analytical techniques for this type of equation. Subsequently, we test the proposed method by solving multiple North-type EBMs with a zonally symmetric continent featuring an altered ice-albedo feedback dynamic. We demonstrate that the introduction of a continent results in new equilibrium states characterized by multiple ice edges and ice belts. Furthermore, we show that the BIM serves as an efficient framework for handling unconventional ice distributions and model configurations for North-type EBMs.</p>https://npg.copernicus.org/articles/32/23/2025/npg-32-23-2025.pdf |
| spellingShingle | A. Samuelsberg P. K. Jakobsen Solving a North-type energy balance model using boundary integral methods Nonlinear Processes in Geophysics |
| title | Solving a North-type energy balance model using boundary integral methods |
| title_full | Solving a North-type energy balance model using boundary integral methods |
| title_fullStr | Solving a North-type energy balance model using boundary integral methods |
| title_full_unstemmed | Solving a North-type energy balance model using boundary integral methods |
| title_short | Solving a North-type energy balance model using boundary integral methods |
| title_sort | solving a north type energy balance model using boundary integral methods |
| url | https://npg.copernicus.org/articles/32/23/2025/npg-32-23-2025.pdf |
| work_keys_str_mv | AT asamuelsberg solvinganorthtypeenergybalancemodelusingboundaryintegralmethods AT pkjakobsen solvinganorthtypeenergybalancemodelusingboundaryintegralmethods |