Abstract All atmospheric General Circulation Models (GCMs) need some form of dissipation,
either explicitly specified or inherent in the chosen numerical schemes for the spatial and …

This book describes the theoretical and computational aspects of the mimetic finite
difference method for a wide class of multidimensional elliptic problems, which includes …

The mimetic finite difference (MFD) method mimics fundamental properties of mathematical
and physical systems including conservation laws, symmetry and positivity of solutions …

A numerical scheme applicable to arbitrarily-structured C-grids is presented for the
nonlinear shallow-water equations. By discretizing the vector-invariant form of the …

The current paper establishes the computational efficiency and accuracy of the RBF-FD
method for large-scale geoscience modeling with comparisons to state-of-the-art methods …

A C-grid staggering, in which the mass variable is stored at cell centers and the normal
velocity component is stored at cell faces (or edges in two dimensions) is attractive for …

A conservative discretization of the ocean primitive equations for global ocean dynamics is
formulated on an unstructured grid. The grid consists of triangular cells with a C-type …

During the next decade and beyond, climate system models will be challenged to resolve
scales and processes that are far beyond their current scope. Each climate system …

To help solve physical and engineering problems, mimetic or compatible algebraic
discretization methods employ discrete constructs to mimic the continuous identities and …

The design of the icosahedral dynamical core DYNAMICO is presented. DYNAMICO solves
the multi-layer rotating shallow-water equations, a compressible variant of the same …