Parsimonious staggered grid finite-differencing of the wave equation

Journal Article · Wed Jan 31 23:00:00 EST 1990 · Geophysical Research Letters (American Geophysical Union); (USA)

DOI:https://doi.org/10.1029/GL017i002p00155· OSTI ID:6280926

Luo, Yi; Schuster, G ^[1]

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1. Univ. of Utah, Salt Lake City (USA)

A parsimonious staggered grid differencing scheme is presented which requires less storage than the conventional staggered grid method. For three dimensional elastic wave propagation, this scheme only stores displacement components, not stress, and so requires 66% of the memory needed by the standard staggered grid method. The storage requirement is the same as the 2-2 differencing scheme used by Kelly et al. (1976) for the second-order wave equation. Its advantage is that it is stable and accurate for media with fluid-elastic contacts and for a wide range of Poisson ratios. A disadvantage is that its computer programming is more involved.

• OSTI ID: 6280926
• Journal Information: Geophysical Research Letters (American Geophysical Union); (USA), Journal Name: Geophysical Research Letters (American Geophysical Union); (USA) Vol. 17:2; ISSN 0094-8276; ISSN GPRLA
• Country of Publication: United States
• Language: English

Related Subjects

640410* -- Fluid Physics-- General Fluid Dynamics
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
99 GENERAL AND MISCELLANEOUS
990200 -- Mathematics & Computers
ALGORITHMS
DIFFERENTIAL EQUATIONS
ELASTICITY
EQUATIONS
FINITE DIFFERENCE METHOD
FLUIDS
GEOLOGY
ITERATIVE METHODS
MATHEMATICAL LOGIC
MECHANICAL PROPERTIES
MEMORY DEVICES
MESH GENERATION
NUMERICAL SOLUTION
PARTIAL DIFFERENTIAL EQUATIONS
PERFORMANCE
PROGRAMMING
TENSILE PROPERTIES
THREE-DIMENSIONAL CALCULATIONS
WAVE EQUATIONS
WAVE PROPAGATION