Adaptive Mesh Refinement

Adaptive Mesh Refinement applications and
requirements
Vincent Pichon
COOP
9 mars 2009

Outline
Motivation
Adaptive Mesh Refinement
AMR based on component
ULCM / Java
Conclusion

Motivation
Solving equations on a discrete
domain
Spacing determines local error
=> accuracy of the solution
Spacing determines number of
calculations.
Uniform mesh spacing fine
enough is extremely costly
=> Adaptive Mesh Refinement

Adaptive Mesh Refinement
Start with a coarse mesh
Locally refine only where needed
Concentration of effort where it is
needed
Multilevel
Domain level 0
0

Adaptive Mesh Refinement
Start with a coarse mesh
Locally refine only where needed
Concentration of effort where it is
needed
Multilevel
1 1
1 1