Comparison of Galerkin and control volume finite element for advection-diffusion problems.
The control volume finite element method (CVFEM) was developed to combine the local numerical conservation property of control volume methods with the unstructured grid and generality of finite element methods (FEMs). Most implementations of CVFEM include mass-lumping and upwinding techniques typical of control volume schemes. In this work we compare, via numerical error analysis, CVFEM and FEM utilizing consistent and lumped mass implementations, and stabilized Petrov-Galerkin streamline upwind schemes in the context of advection-diffusion processes. For this type of problem, we find no apparent advantage to the local numerical conservation aspect of CVFEM as compared to FEM. The stabilized schemes improve accuracy and degree of positivity on coarse grids, and also reduce iteration counts for advection-dominated problems.
- Research Organization:
- Sandia National Laboratories
- Sponsoring Organization:
- USDOE
- DOE Contract Number:
- AC04-94AL85000
- OSTI ID:
- 989379
- Report Number(s):
- SAND2005-1662J
- Journal Information:
- Proposed for publication in International Journal for Numerical Methods in Fluids., Journal Name: Proposed for publication in International Journal for Numerical Methods in Fluids. Journal Issue: 3 Vol. 50; ISSN 0271-2091; ISSN IJNFDW
- Country of Publication:
- United States
- Language:
- English
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