An optimized finite-difference scheme for wave propagation problems
Conference
·
OSTI ID:6176663
- 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--
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
42 ENGINEERING
420400 -- Engineering-- Heat Transfer & Fluid Flow
661300* -- Other Aspects of Physical Science-- (1992-)
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
99 GENERAL AND MISCELLANEOUS
990200 -- Mathematics & Computers
ALGORITHMS
BOUNDARY CONDITIONS
CALCULATION METHODS
COMPUTERIZED SIMULATION
ELECTROMAGNETIC RADIATION
FINITE DIFFERENCE METHOD
FOURIER ANALYSIS
ITERATIVE METHODS
MATHEMATICAL LOGIC
NUMERICAL SOLUTION
OPTIMIZATION
RADIATIONS
SIMULATION
SOUND WAVES
WAVE PROPAGATION
420400 -- Engineering-- Heat Transfer & Fluid Flow
661300* -- Other Aspects of Physical Science-- (1992-)
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
99 GENERAL AND MISCELLANEOUS
990200 -- Mathematics & Computers
ALGORITHMS
BOUNDARY CONDITIONS
CALCULATION METHODS
COMPUTERIZED SIMULATION
ELECTROMAGNETIC RADIATION
FINITE DIFFERENCE METHOD
FOURIER ANALYSIS
ITERATIVE METHODS
MATHEMATICAL LOGIC
NUMERICAL SOLUTION
OPTIMIZATION
RADIATIONS
SIMULATION
SOUND WAVES
WAVE PROPAGATION