Multiscale Modeling Framework using Element-based Galerkin Methods for Moist Atmospheric Limited-Area Simulations
<|reference_start|>Multiscale Modeling Framework using Element-based Galerkin Methods for Moist Atmospheric Limited-Area Simulations: This paper presents a multiscale modeling framework (MMF) to model moist atmospheric limited-area weather. The MMF resolves large-scale convection using a coarse grid while simultaneously resolving local features through numerous fine local grids and coupling them seamlessly. Both large- and small-scale processes are modeled using the compressible Navier-Stokes equations within the Nonhydrostatic Unified Model of the Atmosphere (NUMA), and they are discretized using a continuous element-based Galerkin method (spectral elements) with high-order basis functions. Consequently, the large-scale and small-scale models share the same dynamical core but have the flexibility to be adjusted individually. The proposed MMF method is tested in 2D and 3D idealized limited-area weather problems involving storm clouds produced by squall line and supercell simulations. The MMF numerical results showed enhanced representation of cloud processes compared to the coarse model.<|reference_end|>
@article{kang2024multiscale,
    title={Multiscale Modeling Framework using Element-based Galerkin Methods for
  Moist Atmospheric Limited-Area Simulations},
    author={Soonpil Kang and James F. Kelly and Anthony P. Austin and Francis X.
  Giraldo},
    journal={arXiv preprint arXiv:2407.05927},
    year={2024},
    archivePrefix={arXiv},
    eprint={2407.05927},
    primaryClass={math.NA cs.NA physics.flu-dyn}
}