High order one-step monotonicity-preserving schemes for unsteady compressible flow calculations

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Modeling ice shelf cavities in a z coordinate ocean general circulation model (2008, background): “Without explicit diffusion (kh =0m 2 s � 1 ) and reduced numerical diffusion (with the help of a high-order advection scheme following Daru and Tenaud [2004] , A. Adcroft, personal communication, 2007) the plume is much thinner (center).”
Scales, Growth Rates, and Spectral Fluxes of Baroclinic Instability in the Ocean (2011, background): “Advection of temperature, salinity, and passive tracers utilizes a spatially seventh-order accurate, monotonicity preserving scheme (Daru and Tenaud 2004).”
Arctic ice-ocean simulation with optimized model parameters: Approach and assessment (2011, methodology): “A seventh‐order monotonicity‐preserving advection scheme [ Daru and Tenaud, 2004 ] is employed and there is no explicit horizontal diffusivity.”
On the formulation of sea-ice models. Part 1: Effects of different solver implementations and parameterizations (2010, methodology): “A 7th-order monotonicity-preserving256 advection scheme (Daru and Tenaud, 2004) is employed and there is no explicit257 horizontal diffusivity.”