Vater, S. and Klein, R. and Knio, O.M. (2011) Scaleselective time integration for LongWave Linear Acoustics. In: Finite Volumes for Complex Applications VI  Problems & Perspectives, 6.6.10.6. 2011, Prague, Czech Republic.

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Official URL: http://dx.doi.org/10.1007/9783642206719_81
Abstract
In this note, we present a new method for the numerical integration of one dimensional linear acoustics with long time steps. It is based on a scalewise decomposition of the data using standard multigrid ideas and a scaledependent blending of basic time integrators with different principal features. This enables us to accurately compute balanced solutions with slowly varying shortwave source terms. At the same time, the method effectively filters freely propagating compressible shortwave modes. The selection of the basic time integrators is guided by their discretedispersion relation. Furthermore, the ability of the schemes to reproduce balanced solutions is shortly investigated. The method is meant to be used in semiimplicit finite volume methods for weakly compressible flows.
Item Type:  Conference or Workshop Item (Paper) 

Subjects:  Mathematical and Computer Sciences > Mathematics > Applied Mathematics 
Divisions:  Department of Mathematics and Computer Science > Institute of Mathematics > Geophysical Fluid Dynamics Group 
ID Code:  1033 
Deposited By:  Ulrike Eickers 
Deposited On:  09 Feb 2011 15:56 
Last Modified:  03 Mar 2017 14:41 
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