2014
DOI: 10.1016/j.jcp.2013.07.031
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Mimetic finite difference method

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Cited by 417 publications
(289 citation statements)
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“…Originally, the FDTD was restricted to the structured grids constructed by cubic elements, but there are certain generalizations to, e.g., three-dimensional nonuniform [39] and non-orthogonal [32] grids and two-dimensional polyhedra [27]. Other physics-preserving methods that work in the style of staggered finite difference grids include, e.g., mimetic finite difference (MFD) schemes [34].…”
mentioning
confidence: 99%
“…Originally, the FDTD was restricted to the structured grids constructed by cubic elements, but there are certain generalizations to, e.g., three-dimensional nonuniform [39] and non-orthogonal [32] grids and two-dimensional polyhedra [27]. Other physics-preserving methods that work in the style of staggered finite difference grids include, e.g., mimetic finite difference (MFD) schemes [34].…”
mentioning
confidence: 99%
“…Additional vorticity degrees of freedom are located at the vertices of the Voronoi grid cells. Such an arrangement facilitates the construction of a standard conservative finite-volume-type scheme for the transport of cell-centred fluid properties, and a mimeticclass (Lipnikov et al, 2014;Bochev and Hyman, 2006) finite-difference formulation for the evolution of velocity components. Overall, this scheme is known to posses a variety of desirable conservation properties, conserving mass, potential vorticity and enstrophy, and preserving geostrophic balance (Ringler et al, 2010).…”
Section: Grid Generation For General Circulation Modellingmentioning
confidence: 99%
“…Among the members of this family, we can cite the covolume method [117], spline-based cochain discretization [118], mimetic spectral elements [119][120][121] or spectral DEC [122,123]. Other compatible discretization techniques include the Finite Element Exterior Calculus (FEEC) [124][125][126], mimetic finite differences ( [127] and references therein) and works in [128][129][130][131][132].…”
Section: Introductionmentioning
confidence: 99%