Simple finite elements and multigrid for efficient mass-consistent wind downscaling in a coupled fire-atmosphere model

D. V. Mallia, A. Farguell, Jan Mandel, A. K. Kochanski, K. Hilburn

Publication date: 21 January 2021

Abstract: We present a simple finite element formulation of mass-consistent approximation, and a fast multigrid iterative method with adaptive semicoarsening, which maintains the convergence of the iterations over a range of grids and penalty coefficients. The method is designed to run in each time step of WRF-SFIRE and replace the interpolation from the atmospheric mesh to the fire mesh by a diagnostic model of the air flow over a fine-scale terrain.

Has companion code repository: https://github.com/openwfm/wrf-fire-matlab

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Meteorology and atmospheric physics (86A10)

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