Open AccessA Global, Multi-Resolution Approach to Regional Ocean Modeling
Author(s) -
Qiang Du
Publication year - 2013
Language(s) - English
Resource type - Reports
DOI - 10.2172/1107781
Subject(s) - polygon mesh , voronoi diagram , computer science , stability (learning theory) , mathematics , mathematical optimization , algorithm , geometry , computer graphics (images) , machine learning
In this collaborative research project between Pennsylvania State University, Colorado State University and Florida State University, we mainly focused on developing multi-resolution algorithms which are suitable to regional ocean modeling. We developed hybrid implicit and explicit adaptive multirate time integration method to solve systems of time-dependent equations that present two signi#12;cantly di#11;erent scales. We studied the e#11;ects of spatial simplicial meshes on the stability and the conditioning of fully discrete approximations. We also studies adaptive #12;nite element method (AFEM) based upon the Centroidal Voronoi Tessellation (CVT) and superconvergent gradient recovery. Some of these techniques are now being used by geoscientists(such as those at LANL)