On the parallelization of the acoustic wave equation with absorbing boundary conditions

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Many practical problems involve wave propagation through atmosphere, oceans, or terrestrial crust. Modeling and analysis of these problems is usually done in (semi)infinite domains, but numerical calculations obviously impose restriction to finite domains. To mimic the actual behavior in the (semi)infinite medium, artificial absorbing boundary conditions are imposed at the boundaries, whereby waves can only exit, but not enter the finite computational domain. Efficient absorbing boundary conditions are difficult to analyze and costly to run. In particular, it is of interest to assess whether the wave equation with (approximate or exact) absorbing boundary conditions admits a suitable diagonalization. This would ... continued below

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24 p.

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White, C.T.; Protopopescu, V.A. & Barhen, J. July 1, 1998.

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This report is part of the collection entitled: Office of Scientific & Technical Information Technical Reports and was provided by UNT Libraries Government Documents Department to Digital Library, a digital repository hosted by the UNT Libraries. It has been viewed 17 times , with 5 in the last month . More information about this report can be viewed below.

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  • White, C.T. California Inst. of Tech., Pasadena, CA (United States). Dept. of Mathematics
  • Protopopescu, V.A.
  • Barhen, J. Oak Ridge National Lab., TN (United States). Center for Engineering Systems Advanced Research

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  • Oak Ridge National Laboratory
    Publisher Info: Oak Ridge National Lab., Center for Engineering Systems Advanced Research, TN (United States)
    Place of Publication: Tennessee

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Description

Many practical problems involve wave propagation through atmosphere, oceans, or terrestrial crust. Modeling and analysis of these problems is usually done in (semi)infinite domains, but numerical calculations obviously impose restriction to finite domains. To mimic the actual behavior in the (semi)infinite medium, artificial absorbing boundary conditions are imposed at the boundaries, whereby waves can only exit, but not enter the finite computational domain. Efficient absorbing boundary conditions are difficult to analyze and costly to run. In particular, it is of interest to assess whether the wave equation with (approximate or exact) absorbing boundary conditions admits a suitable diagonalization. This would open the possibility for parallelizing many important numerical codes used in applications. In this paper the authors propose a set of stable, local, absorbing boundary conditions for the discrete acoustic wave equation. They show that the acoustic wave equation with absorbing boundary conditions cannot be exactly diagonalized.

Physical Description

24 p.

Notes

OSTI as DE99000322

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  • Other Information: PBD: Jul 1998

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  • Other: DE99000322
  • Report No.: ORNL/TM--13373
  • Grant Number: AC05-96OR22464
  • DOI: 10.2172/290829 | External Link
  • Office of Scientific & Technical Information Report Number: 290829
  • Archival Resource Key: ark:/67531/metadc676553

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Office of Scientific & Technical Information Technical Reports

Reports, articles and other documents harvested from the Office of Scientific and Technical Information.

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  • July 1, 1998

Added to The UNT Digital Library

  • July 25, 2015, 2:20 a.m.

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  • Nov. 3, 2016, 6:46 p.m.

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White, C.T.; Protopopescu, V.A. & Barhen, J. On the parallelization of the acoustic wave equation with absorbing boundary conditions, report, July 1, 1998; Tennessee. (digital.library.unt.edu/ark:/67531/metadc676553/: accessed December 15, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.