Versions Compared

Old Version 1

changes.mady.by.user Darren Engwirda (Unlicensed)

Saved on

compared with

New Version Current

changes.mady.by.user Renata McCoy

Saved on

Key

  • This line was added.
  • This line was removed.
  • Formatting was changed.

...

Page Properties


Poster TitleUsing Power diagrams to build optimal unstructured meshes for C-grid models
First AuthorDarren Engwirda (Unlicensed)
TopicOcean/ice model development; Software tools
AffiliationColumbia University
Link to document...

Image Added

View file
nameengwirda_poster_final.pdf
height250
 



Title

Using Power diagrams to build optimal unstructured meshes for C-grid models

Authors

Darren Engwirda (Unlicensed), Columbia University

...

Mike Herzfeld, CSIRO

Farhan Rizwi, CSIRO

Abstract

Can we do better than Voronoi diagrams when building unstructured meshes for C-grid GCMs? By exploring the relationship between discretisation error and mesh layout, a new unstructured meshing kernel is proposed for the generation of 'weighted', 'Voronoi-like' configurations known as 'Power diagrams'. Seeking to minimise errors in the discrete numerical operators, a 'primal-dual' optimisation strategy is derived to compute the vertex positions, weights and cell topology of a given variable-resolution mesh. These optimised 'Power' meshes are shown to improve grid geometry and reduce staggering errors. These improvements are especially useful for difficult cases incorporating aggressive changes in resolution and user-defined constraints such as coastlines.