A computational study of nodal-based tetrahedral element behavior.

Gullerud, Arne S.

Sandia National Laboratories

关键词: Shape;    Computerized Simulation;    Mesh Generation;    97 Mathematical Methods And Computing;    Mathematical Solutions;   

DOI  :  10.2172/1007319
RP-ID  :  SAND2010-6309
RP-ID  :  AC04-94AL85000
RP-ID  :  1007319

美国|英语

来源: UNT Digital Library

【 摘 要 】

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.