Accelerating Simulations of Tropical Cyclones using Adaptive Mesh Refinement

TL;DR

This paper demonstrates that adaptive mesh refinement (AMR) combined with spectral element methods can significantly accelerate tropical cyclone simulations, maintaining accuracy while reducing computational costs.

Contribution

The study introduces the application of h-adaptive grids with spectral element discretization to tropical cyclone simulations, enabling high resolution in critical areas with lower computational expense.

Findings

AMR replicates uniform grid results in wind speed maxima.

AMR speeds up simulations by a factor of 2 to 13.

High-resolution simulations are achievable at lower costs.

Abstract

Tropical cyclones (TCs) are powerful, natural phenomena that can severely impact populations and infrastructure. Enhancing our understanding of the mechanisms driving their intensification is crucial for mitigating these impacts. To this end, researchers are pushing the boundaries of TC simulation resolution down to scales of just a few meters. However, higher resolution simulations come with significant computational challenges, increasing both time and energy costs. Adaptive mesh refinement (AMR) is a technique widely used in computational fluid dynamics but has seen limited application in atmospheric simulations. This study explores the use of h-adaptive grids using the spectral element discretization technique to accelerate TC simulations while allowing very high resolutions in certain parts of the domain. By applying AMR to a rapidly intensifying TC test case, we demonstrate that AMR can replicate the results of uniform grid simulations in terms of mean and local wind speed maxima while dramatically reducing computational costs. We show that AMR can speed up dry TC simulations by a factor of 2 - 13 for the set of tested refinement criteria. Additionally, we show that TC intensity changes as resolution is increased and that AMR can deliver high-resolution simulations at the cost of coarser static simulations. Our findings indicate that AMR and spectral element methods are promising tools for enhancing TC simulations.