Please use this identifier to cite or link to this item:
http://hdl.handle.net/11375/16393
Full metadata record
DC Field | Value | Language |
---|---|---|
dc.contributor.advisor | Kevlahan, Nicholas K.-R. | - |
dc.contributor.author | Aechtner, Matthias | - |
dc.date.accessioned | 2014-11-17T20:54:19Z | - |
dc.date.available | 2014-11-17T20:54:19Z | - |
dc.date.issued | 2014 | - |
dc.identifier.uri | http://hdl.handle.net/11375/16393 | - |
dc.description.abstract | In this thesis the development of a dynamically adaptive wavelet method for geophysical applications is described. Being targeted at geophysical applications, a discrete shallow water model is derived in a way to retain mimetic properties of the continuous setting. Based on an investigation of properties of second generation wavelets, wavelet transforms for the sphere are designed for height and non-separable velocity that provide conservation of mass and consistent advection of vorticity. The model has been implemented in Fortran-95 with careful choice of data-structure and algorithms with the result that the computational cost per grid point of the adaptive method is only three times as large as for an optimized non-adaptive method. The Message Passing Interface (MPI) has been used to enable the model to run on 100 to 1000 of computer cores with generally high parallel efficiency (above 80%), but depending on the test-case. Standard tests by Williamson (1992) and a more recent test-case by Galewsky (2004) have verified numerical accuracy and convergence of the adaptive method. A simulation of homogeneous shallow water turbulence demonstrates that the model is capable of compression ratios of 20-50 even in a challenging setting. Finally the 2004 tsunami in the Indian ocean is computed as a real application to ocean simulation. | en_US |
dc.language.iso | en | en_US |
dc.title | Adaptive wavelet modelling of geophysical flows on the sphere | en_US |
dc.type | Thesis | en_US |
dc.contributor.department | Computational Engineering and Science | en_US |
dc.description.degreetype | Dissertation | en_US |
dc.description.degree | Doctor of Philosophy (PhD) | en_US |
Appears in Collections: | Open Access Dissertations and Theses |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
thesis.pdf | 7.02 MB | Adobe PDF | View/Open |
Items in MacSphere are protected by copyright, with all rights reserved, unless otherwise indicated.