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faculty: "FNWI" and publication year: "2005"
| Authors | N.N. Pham Thi, J. Huisman, B.P. Sommeijer | | Title | Simulation of three-dimensional phytoplankton dynamics: competition in light -limited environments |
| Journal | Journal of Computational and Applied Mathematics |
| Volume | 174 |
| Year | 2005 |
| Pages | 57-77 |
| ISSN | 03770427 |
| Faculty | Faculty of Science |
| Institute/dept. | FNWI: Institute for Biodiversity and Ecosystem Dynamics (IBED) |
| Keywords | Advection-diffusion-reaction equations; Time integration; Stiffness; Approximate Matrix Factorization; Phytoplankton dynamics |
| Classification | 31.76 |
| Abstract | In this paper, we develop computational methods for a three-dimensional model of competition for light between phytoplankton species. The competing phytoplankton populations are exposed to both horizontal and vertical mixing. The vertical light-dependence of phytoplankton photosynthesis implies that the threedimensional model is formulated in terms of integro-partial di6erential equations that require an e8cient numerical solution technique.
Due to the sti6ness of the discretized system we select an implicit integration method. However, the resulting implicit relations are extremely expensive to solve, caused by the strong coupling of the components. This coupling originates from the three spatial dimensions, the interaction of the various species and the integral
term. To reduce the amount of work in the linear algebra part, we use an Approximate Matrix Factorization technique.
The performance of the complete algorithm is demonstrated on the basis of two test examples. It turns out that unconditional stability (i.e., A-stability) is a very useful property for this application. |
| Document type | Article |
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