DSC Publications

Core Information
Title: Reduced-order modelling of an adaptive mesh ocean model
Abstract: A novel proper orthogonal decomposition (POD) model has been developed for use with an advanced unstructured mesh finite-element ocean model, the Imperial College Ocean Model (ICOM, described in detail below), which includes many recent developments in ocean modelling and numerical analysis. The advantages of the POD model developed here over existing POD approaches are the ability: 1. To increase accuracy when representing geostrophic balance (the balance between the Coriolis terms and the pressure gradient). This is achieved through the use of two sets of geostrophic basis functions where each one is calculated by basis functions for velocities u and v. 2. To speed up the POD simulation. To achieve this a new numerical technique is introduced, whereby a time-dependent matrix in the discretized equation is rapidly constructed from a series of time-independent matrices. This development imparts considerable efficiency gains over the often-used alternative of calculating each finite element over the computational domain at each time level. 3. To use dynamically adaptive meshes in the above POD model.
Keywords: POD, reduced-order modelling, ocean model, finite element, unstructured adaptive mesh.
Author Information
1. Fang, Fangxin[ Applied Modelling and Computation Group, Department of Earth Science and Engineering, Imperial College ]Neither
2. Pain, Christopher, C[ 1Applied Modelling and Computation Group, Department of Earth Science and Engineering, Imperial College ]Neither
3. Navon, Ionel Michael[ FSU/SCS ]Neither
4. Piggot, Mathew D.[ Applied Modelling and Computation Group, Department of Earth Science and Engineering, Imperial College ]Neither
5. Gorman, Gerard J[ Applied Modelling and Computation Group, Department of Earth Science and Engineering, Imperial College ]Neither
6. Allison, Peter A[ 1Applied Modelling and Computation Group, Department of Earth Science and Engineering, Imperial College ]Neither
7. Goddard, Anthony JH[ Applied Modelling and Computation Group, Department of Earth Science and Engineering, Imperial College ]Neither
Detailed Scientific Article Information
Journal Name: INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS
Volume: In Early View
Page Range: 1-25
Article Number: Not Provided
Number of Pages: 25
Year of Publication: 2008
Refereed: Yes
Digital Object Identifier (DOI), if available: 10.1002/fld.1841
Official Url: http://www3.interscience.wiley.com/cgi-bin/fulltext/120748363/PDFSTART
ISSN: 0271-2091
Subjects Information
1. Mathematics
2. Oceanography
3. Fluid Dynamics

Contact: pubs@sc.fsu.edu