Accurate and Efficient Numerical Simulation of Land Models Using SUMMA With SUNDIALS
Date
2024-11-27
Authors
Spiteri, Raymond John
Van Beusekom, Ashley
Klenk, Kyle
Zolfaghari, Reza
Trim, Sean
Knoben, Wouter
Ireson, Andrew
Clark, Martyn
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Wiley
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Article
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Abstract
Numerical simulation of land models without error control can be highly inaccurate. We present the incorporation of the Suite of Nonlinear and Differential-Algebraic Equation Solvers (SUNDIALS) package to solve the equations that simulate thermodynamics and hydrologic processes in the Structure for Unifying Multiple Modeling Alternatives (SUMMA) land model. The algorithmic features of SUNDIALS, such as error estimation and adaptive order and step-size control, result in a SUMMA-SUNDIALS model that delivers substantially improved accuracy and relative computational efficiency compared to integration with the previous SUMMA model, which uses the low-order backward Euler method with no rigorous error control. The results are demonstrated through simulations over the North American continent with more than 500,000 spatial elements. Compared to the previous SUMMA model, we find that the simulations produced by the SUMMA-SUNDIALS model are orders of magnitude closer to converged solutions for the same computational cost. Being able to efficiently perform more reliable simulations makes the SUMMA-SUNDIALS model a powerful tool for improving our understanding of the terrestrial component of the Earth System.
Description
The version of record of this article, first published in the Journal of Advances in Modelling Earth Systems, is available online at Publisher’s website: https://doi.org/10.1029/2024MS004256
Keywords
Suite of Nonlinear and Differential‐Algebraic Equation Solvers (SUNDIALS), Structure for Unifying Multiple Modeling Alterna tives (SUMMA), Simulation of land models
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DOI
10.1029/2024MS004256