NDLI: Interface error analysis for numerical wave propagation

Content Provider	Springer Nature Link
Author	Vdovina, Tetyana Symes, William W.
Copyright Year	2009
Abstract	The numerical error associated with finite-difference simulation of wave propagation in discontinuous media consists of two components. The first component is a higher-order error that leads to grid dispersion; it can be controlled by higher-order methods. The second component results from misalignment between numerical grids and material interfaces. We provide an explicit estimate of the interface misalignment error for the second order in time and space staggered finite-difference scheme applied to the acoustic wave equation. Our analysis, confirmed by numerical experiments, demonstrates that the interface error results in a first-order time shift proportional to the distance between the interface and computational grids. A 2D experiment shows that the interface error cannot be suppressed by higher-order methods and indicates that our 1D analysis gives a good prediction about the behavior of the numerical solution in higher dimensions.
Ending Page	371
Page Count	9
Starting Page	363
File Format	PDF
ISSN	14200597
e-ISSN	15731499
Journal	Computational Geosciences
Issue Number	3
Volume Number	13
Language	English
Publisher	Springer Netherlands
Publisher Date	2009-02-21
Publisher Place	Dordrecht
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Wave equation Geotechnical Engineering Computational methods Hydrogeology Seismology Finite-difference methods Mathematical Modeling and Industrial Mathematics Finite difference methods Soil Science & Conservation
Content Type	Text
Resource Type	Article
Subject	Computers in Earth Sciences Computational Theory and Mathematics Computer Science Applications Computational Mathematics

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