An adaptive gridless methodology in one dimension

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Description

Gridless numerical analysis offers great potential for accurately solving for flow about complex geometries or moving boundary problems. Because gridless methods do not require point connection, the mesh cannot twist or distort. The gridless method utilizes a Taylor series about each point to obtain the unknown derivative terms from the current field variable estimates. The governing equation is then numerically integrated to determine the field variables for the next iteration. Effects of point spacing and Taylor series order on accuracy are studied, and they follow similar trends of traditional numerical techniques. Introducing adaption by point movement using a spring analogy ... continued below

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86 p.

Creation Information

Snyder, N.T. & Hailey, C.E. September 1, 1996.

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  • Sandia National Laboratories
    Publisher Info: Sandia National Labs., Albuquerque, NM (United States)
    Place of Publication: Albuquerque, New Mexico

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Description

Gridless numerical analysis offers great potential for accurately solving for flow about complex geometries or moving boundary problems. Because gridless methods do not require point connection, the mesh cannot twist or distort. The gridless method utilizes a Taylor series about each point to obtain the unknown derivative terms from the current field variable estimates. The governing equation is then numerically integrated to determine the field variables for the next iteration. Effects of point spacing and Taylor series order on accuracy are studied, and they follow similar trends of traditional numerical techniques. Introducing adaption by point movement using a spring analogy allows the solution method to track a moving boundary. The adaptive gridless method models linear, nonlinear, steady, and transient problems. Comparison with known analytic solutions is given for these examples. Although point movement adaption does not provide a significant increase in accuracy, it helps capture important features and provides an improved solution.

Physical Description

86 p.

Notes

OSTI as DE97000830

Source

  • Other Information: PBD: Sep 1996

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  • Other: DE97000830
  • Report No.: SAND--96-2343
  • Grant Number: AC04-94AL85000
  • DOI: 10.2172/399949 | External Link
  • Office of Scientific & Technical Information Report Number: 399949
  • Archival Resource Key: ark:/67531/metadc687031

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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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  • September 1, 1996

Added to The UNT Digital Library

  • July 25, 2015, 2:20 a.m.

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  • April 12, 2016, 9:34 p.m.

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Snyder, N.T. & Hailey, C.E. An adaptive gridless methodology in one dimension, report, September 1, 1996; Albuquerque, New Mexico. (digital.library.unt.edu/ark:/67531/metadc687031/: accessed January 16, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.