An optimized finite-difference scheme for wave propagation problems

Conference · Fri Jan 01 00:00:00 EST 1993

OSTI ID:6176663

Zingg, D W; Lomax, H; Jurgens, H ^[1]

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1. Toronto Univ. (Canada) NASA, Ames Research Center, Moffett Field, CA (United States)

Two 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. 16 refs.

• Research Organization: National Aeronautics and Space Administration, Moffett Field, CA (United States). Ames Research Center
• OSTI ID: 6176663
• Report Number(s): AIAA-Paper-93-0459; CONF-930108-
• Resource Relation: Conference: 31. American Institute of Astronautics and Aeronautics (AIAA) aerospace sciences meeting, Reno, NV (United States), 11-14 Jan 1993
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
42 ENGINEERING
99 GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE
FINITE DIFFERENCE METHOD
ALGORITHMS
NUMERICAL SOLUTION
OPTIMIZATION
WAVE PROPAGATION
COMPUTERIZED SIMULATION
BOUNDARY CONDITIONS
ELECTROMAGNETIC RADIATION
FOURIER ANALYSIS
SOUND WAVES
CALCULATION METHODS
ITERATIVE METHODS
MATHEMATICAL LOGIC
RADIATIONS
SIMULATION
661300* - Other Aspects of Physical Science- (1992-)
420400 - Engineering- Heat Transfer & Fluid Flow
990200 - Mathematics & Computers