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We present a simple finite element formulation of mass-consistentapproximation, and a fast multigrid iterative method with adaptivesemicoarsening, which maintains the convergence of the iterations over a rangeof grids and penalty coefficients. The method is designed to run in each timestep of WRF-SFIRE and replace the interpolation from the atmospheric mesh tothe fire mesh by a diagnostic model of the air flow over a fine-scale terrain.

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