Please use this identifier to cite or link to this item:
http://hdl.handle.net/11375/16818
Title: | Multilevel Approximation of the Gradient Operator on an Adaptive Spherical Geodesic Grid |
Authors: | Behera, Ratikanta Mehra, Mani Kevlahan, N.K.-R. |
Keywords: | Second generation wavelet;Gradient operator on the sphere;Spherical geodesic grid;Advection equation;AdAdaptive wavelet collocation method |
Publication Date: | Nov-2014 |
Publisher: | Springer Verlag |
Citation: | Behera, R., Mehra, M. and Kevlahan, N.K.-R. 2014 Multilevel approximation of the gradient operator on an adaptive spherical geodesic grid. Adv. Comput. Math. |
Series/Report no.: | Advances in Computational Mathematics; |
Abstract: | This work presents a new adaptive multilevel approximation of the gradient operator on a recursively re ned spherical geodesic grid. The multilevel structure provides a simple way to adapt the computation to the local structure of the gradient operator so that high resolution computations are performed only in regions where singularities or sharp transitions occur. This multilevel approximation of the gradient operator is used to solve the linear spherical advection equation for both time-independent and time-dependent wind eld geophysical test cases. In contrast with other approximation schemes, this approach can be extended easily to other curved manifolds by choosing an appropriate coarse approximation and using recursive surface subdivision. The results indicate that the adaptive gradient calculation and the solution of spherical advection equation accurate, e cient and free of numerical dispersion. |
URI: | http://hdl.handle.net/11375/16818 |
Identifier: | DOI:10.1007/s10444-014-9382-z |
Appears in Collections: | Mathematics & Statistics Publications |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
gradient_ACM_After_revised.pdf | 2.31 MB | Adobe PDF | View/Open |
Items in MacSphere are protected by copyright, with all rights reserved, unless otherwise indicated.