NDLI: Accurate finite difference methods for time-harmonic wave propagation

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Accurate finite difference methods for time-harmonic wave propagation

Content Provider	NASA Technical Reports Server (NTRS)
Author	Turkel, Eli Harari, Isaac
Copyright Year	1994
Description	Finite difference methods for solving problems of time-harmonic acoustics are developed and analyzed. Multidimensional inhomogeneous problems with variable, possibly discontinuous, coefficients are considered, accounting for the effects of employing nonuniform grids. A weighted-average representation is less sensitive to transition in wave resolution (due to variable wave numbers or nonuniform grids) than the standard pointwise representation. Further enhancement in method performance is obtained by basing the stencils on generalizations of Pade approximation, or generalized definitions of the derivative, reducing spurious dispersion, anisotropy and reflection, and by improving the representation of source terms. The resulting schemes have fourth-order accurate local truncation error on uniform grids and third order in the nonuniform case. Guidelines for discretization pertaining to grid orientation and resolution are presented.
File Size	1268802
Page Count	46
File Format	PDF
Alternate Webpage(s)	http://archive.org/details/NASA_NTRS_Archive_19940025704
Archival Resource Key	ark:/13960/t4cp21r45
Language	English
Publisher Date	1994-03-01
Access Restriction	Open
Subject Keyword	Numerical Analysis Helmholtz Vorticity Equation Harmonics Boundary Value Problems Wave Propagation Error Analysis Pade Approximation Anisotropy Finite Difference Theory Truncation Errors Acoustics Computational Grids Ntrs Nasa Technical Reports Server (ntrs) Nasa Technical Reports Server Aerodynamics Aircraft Aerospace Engineering Aerospace Aeronautic Space Science
Content Type	Text
Resource Type	Technical Report

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