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Monotonic Limiters for a Second-Order Finite-Volume Advection Scheme Using Icosahedral-Hexagonal Meshes
2010
Monthly Weather Review
An assessment of a recently developed (by Miura) second-order numerical advection scheme for icosahedralhexagonal grids on the sphere is presented, and the effects of monotonic limiters that can be used with the scheme are examined. The cases address both deformational and nondeformational flow and continuous and discontinuous advected quantities; they include solid-body rotation of a cosine bell and slotted cylinder, and moving dynamic vortices. The limiters of Zalesak, Dukowicz and Kodis, and
doi:10.1175/2010mwr3503.1
fatcat:qyueer5yjnem7eszpw2qqsjuoy