Abstract
Water ï¬owing under ice sheets and glaciers can have a strong inï¬uence on ice dynamics, particularly through pressure changes, suggesting that a comprehensive ice sheet model should include the effect of basal hydrology. Modeling subglacial hydrology remains a challenge however, mainly due to the range of spatial and temporal scales involved - from subglacial channels to vast subglacial lakes. Additionally, networks of subglacial drainage channels dynamically evolve over time. To address some of these challenges, we have developed an Adaptive Mesh Reï¬nement (AMR) model based on the Chombo software framework. We extend the model proposed by Sommers et al. (2018) with a few changes to accommodate the transition from unresolved to resolved ï¬ow features. We handle the strong nonlinearities present in the equations by resorting to an efï¬cient nonlinear Full Approximation Scheme multigrid (FAS-MG) algorithm. We outline the details of the algorithm and present convergence analysis results demonstrating its effectiveness. Additionally, we present results validating our approach, using test cases from the Subglacial Hydrology Model Intercomparison Project (SHMIP) (de Fleurian et al., 2018). We ï¬nish by presenting a more complex AMR test case and discuss the effective pressure distribution as the spatial resolution increases.
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