Scale-selective Time Integration for Long-Wave Linear Acoustics


Conference Paper

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. © Springer-Verlag Berlin Heidelberg 2011.

Full Text

Duke Authors

Cited Authors

  • Vater, S; Klein, R; Knio, OM

Published Date

  • January 1, 2011

Published In

Volume / Issue

  • 4 /

Start / End Page

  • 771 - 779

Electronic International Standard Serial Number (EISSN)

  • 2190-5622

International Standard Serial Number (ISSN)

  • 2190-5614

Digital Object Identifier (DOI)

  • 10.1007/978-3-642-20671-9_81

Citation Source

  • Scopus