sandbox/Antoonvh/README.conv

Convergence tests

Some convergence tests:

1D Diffusion (2nd-order accurate multi-grid scheme)

• Description and the convergence rate with an equidistant grid
• Convergence rate with a locally-refined grid
• Convergence rate with decreasing refinement criteria using an adaptive grid

1D Advection (2nd-order accurate Bell-Colella-Glaz scheme)

• Discription and the convergence rate with an equidistant grid
• Convergence rate with decreasing refinement criteria using an adaptive grid

1D Poisson problem (2nd-order accurate Multigrid Poisson solver)

• Discription of test and the spatial convergence rate witn an equidistant grid
• Convergence rate with decreasting refinement criteria using an adapted grid based on the source term

Accuracy of the Refinement and Prolongation attributes

• In 1D
• In 2D
• In 3D

More tests

• The temporal accuracy for a viscous flow test case
• The spatial accuracy for a viscous flow test case
• Accuracy of the interface reconstruction of a sphere
• Calculating the curvature of a circle on various grids
• Boundary implementations
  1. A comparison of four straight and grid-aligned methods
  2. A comparison of three cylinderical-geometry implementations