Vater, S. and Klein, R. and Knio, O.M. (2011) A Scaleselective Multilevel Method for LongWave Linear Acoustics. Acta Geophysica, 59 (6). pp. 10761108.

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Abstract
A new method for the numerical integration of the equations for onedimensional linear acoustics with large time steps is presented. While it is capable of computing the "slaved" dynamics of shortwave solution components induced by slow forcing, it eliminates freely propagating compressible shortwave modes, which are underresolved in time. Scalewise decomposition of the data based on geometric multigrid ideas enables a scaledependent blending of time integrators with different principal features. To guide the selection of these integrators, the discretedispersion relations of some standard secondorder schemes are analyzed, and their response to high wave number low frequency source terms are discussed. The performance of the new method is illustrated on a test case with "multiscale" initial data and a problem with a slowly varying high wave number source term.
Item Type:  Article 

Subjects:  Mathematical and Computer Sciences > Mathematics > Applied Mathematics 
Divisions:  Department of Mathematics and Computer Science > Institute of Mathematics > Geophysical Fluid Dynamics Group 
ID Code:  1032 
Deposited By:  Ulrike Eickers 
Deposited On:  09 Feb 2011 15:31 
Last Modified:  03 Mar 2017 14:41 
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