GridapGeosciences.jl

GridapGeosciences.jl extends the Gridap ecosystem to the numerical approximation of partial differential equations on two and three dimensional manifolds. The meshes used to discretize the manifolds are designed with high performance computing in mind.

Tutorials

• Advection with upwinding stabilisation on the cubed sphere manifold (intrinsic formulation)
• • Set up
  • Discrete model
  • Triangulation
  • FE Spaces
  • Initial condition
  • Weak form
  • Transient problem
  • Post processing
• Advection with SUPG stabilisation on the cubed sphere manifold (extrinsic formulation)
• • Set up
  • Discrete Model
  • Triangulation and FE spaces
  • Initial conditions and velocity field
  • Transient weak form
  • Post processing
• Advection with upwinding stabilisation on the cubed sphere manifold (extrinsic formulation)
• • Set up
  • Discrete Model
  • Triangulation and FE spaces
  • Finite element spaces
  • Initial conditions and velocity field
  • Transient weak form
  • Post processing
• Scalar Hodge Laplacian on the cubed sphere manifold (extrinsic formulation)
• • Set up
  • Discrete model
  • FE Spaces
  • Manufactured solution
  • Weak form
  • FE problem
  • Post processing
• Laplace Beltrami equation on the cubed sphere manifold (intrinsic formulation)
• • Set up
  • Discrete model
  • FE Spaces
  • Manufactured solution
  • Weak form
  • FE problem
  • Post processing
• Linearised Boussinesq equations on the cubed sphere manifold (intrinsic formulation)
• • Set up
  • Discrete model
  • Triangulation
  • Finite element spaces
  • Initial conditions
  • Weak forms
  • Post processing
• Shallow water on the cubed sphere manifold (intrinsic formulation)
• • Set up
  • Discrete model
  • Triangulation
  • FE Spaces
  • Initial conditions
  • Weak form
  • Transient problem
  • Post processing
• Thermal shallow water equations on the cubed sphere manifold (intrinsic formulation)
• • Set up
  • Discrete model
  • Triangulation
  • FE Spaces
  • Initial conditions
  • Weak form
  • Transient problem
  • Post processing
• Linear wave equation on the cubed sphere manifold (intrinsic formulation)
• • Set up
  • Discrete model
  • FE Spaces
  • Manufactured solution
  • Weak form
  • FE problem
  • Post processing