Diffusive mesh relaxation in ALE finite element numerical simulations

Technical Report · Sat Jun 01 04:00:00 EDT 1996

DOI:https://doi.org/10.2172/278399· OSTI ID:278399

Dube, E I

The theory for a diffusive mesh relaxation algorithm is developed for use in three-dimensional Arbitary Lagrange/Eulerian (ALE) finite element simulation techniques. This mesh relaxer is derived by a variational principle for an unstructured 3D grid using finite elements, and incorporates hourglass controls in the numerical implementation. The diffusive coefficients are based on the geometric properties of the existing mesh, and are chosen so as to allow for a smooth grid that retains the general shape of the original mesh. The diffusive mesh relaxation algorithm is then applied to an ALE code system, and results from several test cases are discussed.

• Research Organization: Lawrence Livermore National Lab., CA (United States)
• Sponsoring Organization: USDOE, Washington, DC (United States)
• DOE Contract Number: W-7405-ENG-48
• OSTI ID: 278399
• Report Number(s): UCRL-LR--124403; ON: DE96013433
• Country of Publication: United States
• Language: English

Related Subjects

36 MATERIALS SCIENCE
99 GENERAL AND MISCELLANEOUS
ALGORITHMS
COMPUTER CALCULATIONS
EXTRUSION
FINITE ELEMENT METHOD
LAGRANGIAN FUNCTION
MATERIALS WORKING
MESH GENERATION
PARTIAL DIFFERENTIAL EQUATIONS