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Accurate and Efficient Numerical Simulation of Land Models Using SUMMA With SUNDIALS.

Raymond J Spiteri1, Ashley E Van Beusekom2, Kyle Klenk1

  • 1Department of Computer Science University of Saskatchewan Saskatoon SK Canada.

Journal of Advances in Modeling Earth Systems
|December 2, 2024
PubMed
Summary
This summary is machine-generated.

Integrating the Suite of Nonlinear and Differential-Algebraic Equation Solvers (SUNDIALS) into the Structure for Unifying Multiple Modeling Alternatives (SUMMA) land model significantly enhances simulation accuracy and efficiency. This advancement provides more reliable results for understanding Earth's terrestrial systems.

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Area of Science:

  • Earth System Science
  • Computational Hydrology
  • Land Surface Modeling

Background:

  • Numerical simulations of land models often suffer from inaccuracies due to the lack of rigorous error control.
  • Previous versions of the Structure for Unifying Multiple Modeling Alternatives (SUMMA) land model utilized a low-order backward Euler method without error estimation, limiting simulation reliability.

Purpose of the Study:

  • To enhance the accuracy and computational efficiency of the SUMMA land model.
  • To integrate advanced numerical solvers for improved simulation of land surface thermodynamics and hydrology.

Main Methods:

  • Incorporation of the Suite of Nonlinear and Differential-Algebraic Equation Solvers (SUNDIALS) package into the SUMMA land model.
  • Utilizing SUNDIALS' algorithmic features, including error estimation and adaptive order/step-size control.
  • Conducting large-scale continental simulations over North America with over 500,000 spatial elements.

Main Results:

  • The SUMMA-SUNDIALS model demonstrates substantially improved accuracy compared to the previous SUMMA model.
  • Simulations achieved results orders of magnitude closer to converged solutions at a comparable computational cost.
  • Enhanced relative computational efficiency was observed.

Conclusions:

  • The integration of SUNDIALS provides a more accurate and computationally efficient land surface modeling tool.
  • The SUMMA-SUNDIALS model offers a powerful capability for reliable simulations, advancing the understanding of the terrestrial component of the Earth System.