An embedded boundary method for the wave equation with discontinuous coefficients

Thumbnail image of item number 1 in: 'An embedded boundary method for the wave equation with discontinuous coefficients'.
Thumbnail image of item number 2 in: 'An embedded boundary method for the wave equation with discontinuous coefficients'.
Thumbnail image of item number 3 in: 'An embedded boundary method for the wave equation with discontinuous coefficients'.
Thumbnail image of item number 4 in: 'An embedded boundary method for the wave equation with discontinuous coefficients'.
Showing 1-4 of 25 pages in this article.

PDF Version Also Available for Download.

Description

A second order accurate embedded boundary method for the two-dimensional wave equation with discontinuous wave propagation speed is described. The wave equation is discretized on a Cartesian grid with constant grid size and the interface (across which the wave speed is discontinuous) is allowed to intersect the mesh in an arbitrary fashion. By using ghost points on either side of the interface, previous embedded boundary techniques for the Neumann and Dirichlet problems are generalized to satisfy the jump conditions across the interface to second order accuracy. The resulting discretization of the jump conditions has the desirable property that each ghost ... continued below

Physical Description

PDF-file: 25 pages; size: 1.3 Mbytes

Creation Information

Kreiss, H O & Petersson, N A September 26, 2005.

Context

This article 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. More information about this article can be viewed below.

Who

People and organizations associated with either the creation of this article or its content.

Authors

Sponsor

Publisher

Provided By

UNT Libraries Government Documents Department

Serving as both a federal and a state depository library, the UNT Libraries Government Documents Department maintains millions of items in a variety of formats. The department is a member of the FDLP Content Partnerships Program and an Affiliated Archive of the National Archives.

About | Browse this Partner

Contact Us

Corrections Questions

What

Descriptive information to help identify this article. Follow the links below to find similar items on the Digital Library.

Description

A second order accurate embedded boundary method for the two-dimensional wave equation with discontinuous wave propagation speed is described. The wave equation is discretized on a Cartesian grid with constant grid size and the interface (across which the wave speed is discontinuous) is allowed to intersect the mesh in an arbitrary fashion. By using ghost points on either side of the interface, previous embedded boundary techniques for the Neumann and Dirichlet problems are generalized to satisfy the jump conditions across the interface to second order accuracy. The resulting discretization of the jump conditions has the desirable property that each ghost point can be updated independently of all other ghost points, resulting in a fully explicit time-integration method. Numerical examples are given where the method is used to study electro-magnetic scattering of a plane wave by a dielectric cylinder. The numerical solutions are evaluated against the analytical solution due to Mie, and point-wise second order accuracy is confirmed.

Physical Description

PDF-file: 25 pages; size: 1.3 Mbytes

Source

  • Journal Name: SIAM Journal of Scientific Computing, vol. 28, n/a, December 5, 2006, pp. 2054-2074

Language

Item Type

Identifier

Unique identifying numbers for this article in the Digital Library or other systems.

  • Report No.: UCRL-JRNL-215702
  • Grant Number: W-7405-ENG-48
  • Office of Scientific & Technical Information Report Number: 899432
  • Archival Resource Key: ark:/67531/metadc881768

Collections

This article is part of the following collection of related materials.

Office of Scientific & Technical Information Technical Reports

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

Office of Scientific and Technical Information (OSTI) is the Department of Energy (DOE) office that collects, preserves, and disseminates DOE-sponsored research and development (R&D) results that are the outcomes of R&D projects or other funded activities at DOE labs and facilities nationwide and grantees at universities and other institutions.

About | Browse this Collection

What responsibilities do I have when using this article?

Digital Files

When

Dates and time periods associated with this article.

Creation Date

  • September 26, 2005

Added to The UNT Digital Library

  • Sept. 22, 2016, 2:13 a.m.

Description Last Updated

  • Nov. 23, 2016, 6:16 p.m.

Usage Statistics

When was this article last used?

Yesterday: 0
Past 30 days: 1
Total Uses: 10
More Statistics

Interact With This Article

Here are some suggestions for what to do next.

Start Reading

Thumbnail image of item number 1 in: 'An embedded boundary method for the wave equation with discontinuous coefficients'.
Thumbnail image of item number 2 in: 'An embedded boundary method for the wave equation with discontinuous coefficients'.
Thumbnail image of item number 3 in: 'An embedded boundary method for the wave equation with discontinuous coefficients'.
Thumbnail image of item number 4 in: 'An embedded boundary method for the wave equation with discontinuous coefficients'.

PDF Version Also Available for Download.

Citations, Rights, Re-Use

International Image Interoperability Framework

IIF Logo

We support the IIIF Presentation API

Links for Robots

Helpful links in machine-readable formats.

Archival Resource Key (ARK)

International Image Interoperability Framework (IIIF)

Metadata Formats

Images

URLs

Stats

Kreiss, H O & Petersson, N A. An embedded boundary method for the wave equation with discontinuous coefficients, article, September 26, 2005; Livermore, California. (digital.library.unt.edu/ark:/67531/metadc881768/: accessed February 22, 2019), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.