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This paper presents a multiscale modeling framework (MMF) to model moist at- mospheric 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 ad- justed 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 sim- ulations. The MMF numerical results showed enhanced representation of cloud processes compared to the coarse model.