A computational study of nodal-based tetrahedral element behavior.

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This report explores the behavior of nodal-based tetrahedral elements on six sample problems, and compares their solution to that of a corresponding hexahedral mesh. The problems demonstrate that while certain aspects of the solution field for the nodal-based tetrahedrons provide good quality results, the pressure field tends to be of poor quality. Results appear to be strongly affected by the connectivity of the tetrahedral elements. Simulations that rely on the pressure field, such as those which use material models that are dependent on the pressure (e.g. equation-of-state models), can generate erroneous results. Remeshing can also be strongly affected by these ... continued below

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50 p.

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Gullerud, Arne S. September 1, 2010.

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Description

This report explores the behavior of nodal-based tetrahedral elements on six sample problems, and compares their solution to that of a corresponding hexahedral mesh. The problems demonstrate that while certain aspects of the solution field for the nodal-based tetrahedrons provide good quality results, the pressure field tends to be of poor quality. Results appear to be strongly affected by the connectivity of the tetrahedral elements. Simulations that rely on the pressure field, such as those which use material models that are dependent on the pressure (e.g. equation-of-state models), can generate erroneous results. Remeshing can also be strongly affected by these issues. The nodal-based test elements as they currently stand need to be used with caution to ensure that their numerical deficiencies do not adversely affect critical values of interest.

Physical Description

50 p.

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  • Report No.: SAND2010-6309
  • Grant Number: AC04-94AL85000
  • DOI: 10.2172/1007319 | External Link
  • Office of Scientific & Technical Information Report Number: 1007319
  • Archival Resource Key: ark:/67531/metadc835712

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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.

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.

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Creation Date

  • September 1, 2010

Added to The UNT Digital Library

  • May 19, 2016, 3:16 p.m.

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  • Nov. 23, 2016, 11:16 a.m.

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Gullerud, Arne S. A computational study of nodal-based tetrahedral element behavior., report, September 1, 2010; United States. (digital.library.unt.edu/ark:/67531/metadc835712/: accessed December 17, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.