Mimetic Discretizations

Advection-Diffusion
Conservative advection-diffusion on arbitrary grids. details
Navier-Stokes flow 2D
Mass, energy, enstrophy and vorticity (MEEV) conserving discretization for 2D Navier-Stokes flow problems. details
Navier-Stokes flow 3D
Dual-field mass, energy, and helicity conserving discretization for 3D Navier-Stokes flow problems. upcoming

Shallow waters
Atmospheric shallow water flow on a flat plane and on the cubed sphere. details
Compressible Euler flow
Compressible 3D Euler flow on the cubed sphere. details
IMEX time integration
Exact spatial and temporal balance of energy exchanges within a horizontally explicit/vertically implicit non-hydrostatic atmosphere. details
Turbidity currents
Conservative, physically compaticle dual-field discretization of turbidity currents. details
Laplace-Beltrami
Solution of the Laplace-Beltrami problem on 2D Riemannian manifolds embedded in \mathbb{R}^{3}.
Maxwell Eigenvalues
Computation of the eigenvalues and eigenfunctions for the Maxwell ressonating cavity on a square with curved elements and on an L-shaped domain.
Mimetic Grad-Shafranov
Solving the Grad-Shafranov equation on highly curved meshes conserving total plasma current. details
Darcy Flow
Computation of Darcy flow with arbitrary permeability tensor, \mathsf{K}, and especially highly anisotropic permeability tensor.
2D Poisson
Solution of the 2D Poisson equation on highly curved meshes.