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Multiscale Modeling Framework using Element-based Galerkin Methods for Moist Atmospheric Limited-Area Simulations

Numerical Analysis 2024-07-09 v1 Numerical Analysis Fluid Dynamics

Abstract

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.

Keywords

Cite

@article{arxiv.2407.05927,
  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}
}

Comments

24 pages

R2 v1 2026-06-28T17:32:52.146Z