A computational study of nodal-based tetrahedral element behavior. Page: 3 of 50
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Printed September, 2010
A Computational Study of Nodal-Based Tetrahedral
Arne S. Gullerud
Computational Structural Mechanics and Applications
Sandia National Laboratories
P.O. Box 5800
Albuquerque, NM 87185-1185
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 f eld for the nodal-based tetrahedrons provide good quality
results, the pressure f eld 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 f eld, 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 tet elements as they currently stand need to be used with caution to ensure that their
numerical def ciencies do not adversely affect critical values of interest.
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Gullerud, Arne S. A computational study of nodal-based tetrahedral element behavior., report, September 1, 2010; United States. (https://digital.library.unt.edu/ark:/67531/metadc835712/m1/3/: accessed April 19, 2019), University of North Texas Libraries, Digital Library, https://digital.library.unt.edu; crediting UNT Libraries Government Documents Department.