h-Adaptivity Applied to Ice Sheet Simulation

Thiago Dias dos Santos, Philippe Remy Bernard Devloo, Jefferson Cardia Simões, Mathieu Morlighem, Hélène Seroussi


Marine ice sheets are large masses of glacial ice that terminate in the ocean forming an attached floating ice shelf. The region where the ice start to float is called grounding line. The evolution of the grounding line plays a major role in marine ice sheet dynamics, as they are a fundamental control of the marine ice sheet stability. Numerical modeling of grounding line dynamics requires significant computational resources and the accuracy of its position depends on grid or mesh resolutions. A technique that can improve accuracy with reduced computational cost is the adaptive mesh refinement approach. In recent years, this approach has been applied in ice sheet simulations, but the mesh refinement performed is not conducted by error estimators. Here, we implement and test the performance of the ZZ error estimator as a refinement criterion using the Ice Sheet System Model. In the numerical experiments carried out, the ZZ error estimator presents high values around grounding line and proves to be a good indicator of which elements should be refined. Our comparison results show that computational time using the ZZ estimator depends on the required accuracy, but for all cases, it is significantly smaller than the uniformly refined meshes cost.


h-Adaptivity, Error estimator, Ice sheet simulation

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DOI: https://doi.org/10.5540/03.2018.006.02.0280


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