Characteristic Boundary Conditions for the Two-Step Taylor-Galerkin FEM

Journal Article · Sun Jan 01 04:00:00 EST 2006 · Computer Methods in Applied Mechanics and Engineering

DOI:https://doi.org/10.1016/j.cma.2005.02.017· OSTI ID:912235

Martineau, Richard C; Berry, Ray A

A general framework for implementing numerical boundary conditions, based upon the rigorous application of characteristic theory, has been developed for the two-step Taylor–Galerkin FEM scheme. The method consists of solving the compatibility equations for the temporal change in characteristic variables using the first step of the two-step Taylor–Galerkin FEM. This application of characteristic boundary conditions is consistent with the spatial and temporal discretization of the two-step Taylor–Galerkin FEM. It is ideal for domains discretized with linear unstructured finite elements as time and space extrapolation from interior elements is not required. Boundary conditions are constructed from the characteristic solution for solid wall and symmetry boundaries, flow exits, and flow inlets. Two simulations are shown highlighting the performance of these boundary conditions.

• Research Organization: Idaho National Laboratory (INL)
• Sponsoring Organization: USDOE
• DOE Contract Number: AC07-99ID13727
• OSTI ID: 912235
• Report Number(s): INEEL/JOU-03-01230
• Journal Information: Computer Methods in Applied Mechanics and Engineering, Journal Name: Computer Methods in Applied Mechanics and Engineering Journal Issue: 7-8 Vol. 195; ISSN 0045-7825; ISSN CMMECC
• Country of Publication: United States
• Language: English

Related Subjects

99 GENERAL AND MISCELLANEOUS
BOUNDARY CONDITIONS
COMPATIBILITY
Characteristic boundary conditions
Compatibility equations
Compressible flow
EXTRAPOLATION
Linear unstructured finite elements
PERFORMANCE
SYMMETRY
Two-step Taylor–Galerkin