Finite volume transport schemes for Voronoi meshes

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MPAS (Voronoi mesh): Formulations (1*) Blossey and Durran deformational flow test case MS (2012) FIT limiter Dx = 120 km MS (2012) FIT (lower bnd only) Dx = 120 km MS (2012) FIT (lower bnd only) Dx = 60 km
Finite volume transport schemes for Voronoi meshes Summary We examined 3 newer schemes using 2+ order reconstructions or higher-order formulations. The new schemes show significantly reduced phase and amplitude error relative to 1 st order reconstructions. Runge-Kutta-based scheme appears to be the most robust. While Miura and Skamarock (2012) scheme appears most accurate, some problematic behavior (non-convergence) appears when used with FCT-type limiters. Nonlinear limiters/renormalization – lessons learned?
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Finite volume transport schemes for Voronoi meshes

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