A scale-selective multilevel method for long-wave linear acoustics


Journal Article

A new method for the numerical integration of the equations for one-dimensional linear acoustics with large time steps is presented. While it is capable of computing the "slaved" dynamics of short-wave solution components induced by slow forcing, it eliminates freely propagating compressible short-wave modes, which are under-resolved in time. Scale-wise decomposition of the data based on geometric multigrid ideas enables a scale-dependent blending of time integrators with different principal features. To guide the selection of these integrators, the discrete-dispersion relations of some standard second-order 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. © 2011 Versita Warsaw and Springer-Verlag Wien.

Full Text

Duke Authors

Cited Authors

  • Vater, S; Klein, R; Knio, OM

Published Date

  • December 1, 2011

Published In

Volume / Issue

  • 59 / 6

Start / End Page

  • 1076 - 1108

Electronic International Standard Serial Number (EISSN)

  • 1895-7455

International Standard Serial Number (ISSN)

  • 1895-6572

Digital Object Identifier (DOI)

  • 10.2478/s11600-011-0037-x

Citation Source

  • Scopus