A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2019; you can also visit the original URL.
The file type is application/pdf.
Filters
ANALYSIS OF DISPERSION ERRORS IN ACOUSTIC WAVE SIMULATIONS
2018
Revista de Engenharia Térmica
Preserved Fulltext
Four different space discretization schemes are tested, namely, a second order finite-differences, a fourth order finitedifferences, a fourth order finite-differences compact scheme and a sixth order finite-differences ...
The results confirm that high order accuracy schemes can be more efficient for simulation of acoustic waves, especially the waves with high frequency. ...
The discretization error was analyzed and tested for different space discretization schemes, namely, a second order finite-differences, a fourth order finite-differences, a fourth order finite-differences ...
doi:10.5380/reterm.v5i1.61663
fatcat:dmyjy7ywqbhure6k7vxn5gkbne
Low-Dissipation and Low-Dispersion Runge–Kutta Schemes for Computational Acoustics
1996
Journal of Computational Physics
Preserved Fulltext
A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2003; you can also visit the original URL.
The file type is application/pdf.
are the classical third-and fourth-order Rungeand dispersion errors. ...
The used in wave propagation problems using high-order spaproposed LDDRK schemes are remarkably more efficient than the classical Runge-Kutta schemes for acoustic computations. ...
In [12] , an Adams-Bashforth-For simplicity of discussion, we consider the convective type multistep time integration scheme was optimized wave equation for acoustic calculations. ...
doi:10.1006/jcph.1996.0052
fatcat:szf345uspjcx5ljh45zf7sr75e
Fourth‐order finite‐differenceP-SVseismograms
1988
Geophysics
Preserved Fulltext
A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2020; you can also visit the original URL.
The file type is application/pdf.
Fourth-order Finite-difference P-W seismograms 1427 ...
I describe the properties of a fourth-order accurate space, second-order accurate time two-dimensional P-Sk' finite-difference scheme based on the Madariaga-Virieux staggered-grid formulation. ...
ACKNOWLEDGMENTS I would like to thank the Chevron Oil Field Research Laboratory for supporting development of the finite-difference scheme. ...
doi:10.1190/1.1442422
fatcat:lfuuruhntrdopaqdmxilai4bvq
An optimized staggered variable-grid finite-difference scheme and its application in cross-well acoustic survey
2008
Science Bulletin
Preserved Fulltext
A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2021; you can also visit the original URL.
The file type is application/pdf.
In this paper, an optimized staggered variable-grid finite-difference (FD) method is developed in velocity-stress elastic wave equations. ...
On the basis of the dispersion-relation-preserving (DRP), a fourth-order finite-difference operator on non-uniform grids is constructed. The proposed algorithm is a continuous variable-grid method. ...
In order to improve computation efficiency of the FD scheme, based on the local parameters, the most efficient grid layout can be obtained by assembling grids with different spacing that cover different ...
doi:10.1007/s11434-008-0042-x
fatcat:jcmsmkmwojbxbp2ufton7hvoaa
Second-order Scalar Wave Field Modeling with First-order Perfectly Matched Layer
2018
Solid Earth Discussions
Preserved Fulltext
A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2018; you can also visit the original URL.
The file type is application/pdf.
finite-difference algorithm based on the second-order wave equation. ...
The finite-difference algorithm in the form of a second-order wave equation is one of the commonly used forward numerical algorithms. ...
Numeric modeling of Eq. (1) is expressed as follows.
20 2. 1 201 Conventional-grid finite-difference scheme21The discretization of the acoustic wave equation (1) with a 2M-order finite-difference scheme ...
doi:10.5194/se-2018-48
fatcat:usfyldlwzvfa7e7maxu6qd6jja
Time Domain Room Acoustic Solver with Fourth-Order Explicit FEM Using Modified Time Integration
2020
Applied Sciences
Preserved Fulltext
A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2020; you can also visit the original URL.
The file type is application/pdf.
Earlier, the authors proposed an efficient room acoustic solver using explicit TD-FEM having fourth-order accuracy in both space and time using low-order discretization techniques. ...
This paper presents a proposal of a time domain room acoustic solver using novel fourth-order accurate explicit time domain finite element method (TD-FEM), with demonstration of its applicability for practical ...
This conventional dispersion-reduced explicit TD-FEM is computationally efficient by virtue of its use of linear elements and low-order finite difference approximation in time. ...
doi:10.3390/app10113750
fatcat:xmpikgrn2vbffpio3qdnieddca
ON SIMULATING ACOUSTIC-SHOCK WAVES INTERACTION
2001
International Conference on Aerospace Sciences and Aviation Technology
Preserved Fulltext
A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2022; you can also visit the original URL.
The file type is application/pdf.
Computations are performed using 3-point fourth-order compact implicit McCormick-type scheme to approximate the spatial derivatives and the two steps 5-6 alternating 2-N storage Low-Dispersion and -Dissipation ...
Runge-Kutta (LDDRK) method as a time marching scheme. ...
5-6, 2-N storage Low-Dispersion and -Dissipation Runge-Kutta method (LDDRK) as a time marching scheme. ...
doi:10.21608/asat.2001.59778
fatcat:z7cv3kh4rbb3bkai3d3mnoeqp4
Elimination of numerical dispersion in finite‐difference modeling and migration by flux‐corrected transport
1995
Geophysics
Preserved Fulltext
A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2019; you can also visit the original URL.
The file type is application/pdf.
However, conventional finite-difference methods for solving the acousticwave equation suffer from numerical dispersion when too few samples per wavelength are used. ...
ABSTRACT Finite-difference acoustic-wave modeling and reverse-time depth migration based on the full wave equation are general approaches that can take into account arbitary variatious in velocity and ...
This wave equation for inhomogencous media can be approximated by an explicit, conventional finite-difference scheme. ...
doi:10.1190/1.1443915
fatcat:krtakpuwifgfxgqbbrdvf6ragu
An efficient Helmholtz solver for acoustic transversely isotropic media
2017
Geophysics
Preserved Fulltext
A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2018; you can also visit the original URL.
The file type is application/pdf.
Since only one equation is required to obtain a 69 numerical solution, the new proposed scheme is more efficient than conventional schemes 70 that solve a system of second-order differential equations. ...
Finally, we iteratively solve the 18 simpler lower-order elliptical wave equation for a modified source function that includes 19 the non-elliptical terms represented in the Fourier domain. ...
of second-order differential equations, and 32 proposed a computationally efficient scheme. ...
doi:10.1190/geo2017-0618.1
fatcat:j7x43v5tuvcxfhsndo2tgjfnt4
Numerical analysis of the lattice Boltzmann method for simulation of linear acoustic waves
2017
Physical review. E
Preserved Fulltext
A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2020; you can also visit the original URL.
The file type is application/pdf.
Note that this fulltext copy is not of the "primary" version of this work. The version it corresponds to is:
2017 pre-print arXiv:1704.03172v1 fatcat:cumblzesxjc4xcdliylkac225y
Our results show that the LB scheme performance is comparable to the classical second-order finite-difference schemes. ...
Given its efficiency for parallel computation, the LB method can be a cost effective tool for the simulation of linear acoustic waves in complex geometries and multiphase media. ...
Blanch for useful conversations. We thank the anonymous reviewers for their valuable comments and suggestions. ...
doi:10.1103/physreve.95.043306
pmid:28505847
fatcat:bgsyectnmzc7dlqfu7birp4d2m
An Efficiently Parallelized High-Order Aeroacoustics Solver Using a Characteristic-Based Multi-Block Interface Treatment and Optimized Compact Finite Differencing
2017
Aerospace (Basel)
Preserved Fulltext
A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2019; you can also visit the original URL.
The file type is application/pdf.
This paper presents the development of a fourth-order finite difference computational aeroacoustics solver. ...
Both explicit and implicit finite difference spatial discretization schemes are widely used [3] [4] [5] . ...
Specifically, a fourth-order pentadiagonal type of central compact finite-difference scheme in space and fourth-order explicit temporal differencing are used to minimise the dissipation and dispersion ...
doi:10.3390/aerospace4020029
fatcat:wcivlqnw5rcvrfdgtbv7lpthhy
A modified Lax-Wendroff correction for wave propagation in media described by Zener elements
1997
Geophysical Journal International
Preserved Fulltext
A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2021; you can also visit the original URL.
The file type is application/pdf.
S U M M A R Y A modified Lax-Wendroff correction for wave propagation in attenuating and dispersive media described by Zener elements is presented. ...
The technique may be applied to a wide variety of hyperbolic problems. Here, the concept is illustrated for wave propagation in visco-acoustic media. ...
Bergmann for valuable discussions and support. ETH-Geophysics Contr. No. 928. This research was partially supported by FOA grant E6011. ...
doi:10.1111/j.1365-246x.1997.tb01229.x
fatcat:lip3u2z3sffxdbbq53dtjtk6yi
Numerical anisotropy in finite differencing
2015
Advances in Difference Equations
Preserved Fulltext
A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2017; you can also visit the original URL.
The file type is application/pdf.
Other Versions
Then, several important studies that were focused on optimizations of finite difference schemes with the objective of reducing the numerical anisotropy are discussed. ...
A commonly used term for the aforementioned multidimensional discretization error is the numerical anisotropy or isotropy error. ...
Acknowledgements The author would like to thank Ray Hixon, Abdollah Afjeh, Vasanth Allampalli, Shivaji Medida, Daniel Ingraham, and Carmen Sescu for constructive support and encouragement. ...
doi:10.1186/s13662-014-0343-0
fatcat:57a5athkbfegfc26objvixgjdm
Grid dispersion and stability criteria of some common finite-element methods for acoustic and elastic wave equations
2007
Geophysics
Preserved Fulltext
A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2012; you can also visit the original URL.
The file type is application/pdf.
New results can be compared with grid-dispersion results of some classical finite-difference methods ͑FDM͒ used for acoustic or elastic wave propagation. ...
The staggered-grid FDM is an efficient scheme, but the dispersion is angle dependent with larger values along the grid axes. ...
This work was done while Jonas De Basabe was supported by a Ph.D. fellowship from the Mexican National Council for Science and Technology ͑CONACYT͒. ...
doi:10.1190/1.2785046
fatcat:mtyc4opxofe4pku3fygkoygv3a
Second-order scalar wave field modeling with a first-order perfectly matched layer
2018
Solid Earth
Preserved Fulltext
A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2019; you can also visit the original URL.
The file type is application/pdf.
finite-difference algorithm based on the second-order wave equation. ...
The finite-difference algorithm in the form of a second-order wave equation is one of the commonly used forward numerical algorithms. ...
High-order finite-difference schemes are able to control this numerical dispersion using a larger grid spacing compared with low-order schemes (Tan and Huang, 2014) . ...
doi:10.5194/se-9-1277-2018
fatcat:o3juuf4osvghtcaqwndqpdzqae
« Previous
Showing results 1 — 15 out of 4,568 results