Repository: Freie Universität Berlin, Math Department

Scale-selective time integration for Long-Wave Linear Acoustics

Vater, S. and Klein, R. and Knio, O.M. (2011) Scale-selective time integration for Long-Wave Linear Acoustics. In: Finite Volumes for Complex Applications VI - Problems & Perspectives, 6.6.-10.6. 2011, Prague, Czech Republic.


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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 scale-wise decomposition of the data using standard multigrid ideas and a scale-dependent blending of basic time integrators with different principal features. This enables us to accurately compute balanced solutions with slowly varying short-wave source terms. At the same time, the method effectively filters freely propagating compressible short-wave modes. The selection of the basic time integrators is guided by their discrete-dispersion relation. Furthermore, the ability of the schemes to reproduce balanced solutions is shortly investigated. The method is meant to be used in semi-implicit 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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