An optimized finite-difference scheme for wave propagation problemsTwo fully-discrete finite-difference schemes for wave propagation problems are presented, a maximum-order scheme and an optimized (or spectral-like) scheme. Both combine a seven-point spatial operator and an explicit six-stage time-march method. The maximum-order operator is fifth-order in space and is sixth-order in time for a linear problem with periodic boundary conditions. The phase and amplitude errors of the schemes obtained using Fourier analysis are given and compared with a second-order and a fourth-order method. Numerical experiments are presented which demonstrate the usefulness of the schemes for a range of problems. For some problems, the optimized scheme leads to a reduction in global error compared to the maximum-order scheme with no additional computational expense.
Document ID
19930039369
Acquisition Source
Legacy CDMS
Document Type
Conference Paper
Authors
Zingg, D. W. (Toronto Univ. Canada)
Lomax, H. (NASA Ames Research Center Moffett Field, CA, United States)
Jurgens, H. (Toronto Univ. Canada)
Date Acquired
August 16, 2013
Publication Date
January 1, 1993
Subject Category
Numerical Analysis
Report/Patent Number
AIAA PAPER 93-0459
Meeting Information
Meeting: AIAA, Aerospace Sciences Meeting and Exhibit