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Development of a mixed control volume – Finite element method for the advection–diffusion equation with spectral convergence
- Source :
-
Computers & Fluids . Jan2011, Vol. 40 Issue 1, p269-279. 11p. - Publication Year :
- 2011
-
Abstract
- Abstract: In this paper we attack the problem of devising a finite volume method for computational fluid dynamics and related phenomena which can deal with complex geometries while attaining high-orders of accuracy and spectral convergence at a reasonable computational cost. As a first step towards this end, we propose a control volume finite element method for the solution of the advection–diffusion equation. The numerical method and its implementation are carefully tested in the paper where h- and p-convergence are checked by comparing numerical results against analytical solutions in several relevant test-cases. The numerical efficiency of a selected set of operations implemented is estimated by operation counts, ill-conditioning of coefficient matrices is avoided by using an appropriate distribution of interpolation points and control-volume edges. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00457930
- Volume :
- 40
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Computers & Fluids
- Publication Type :
- Periodical
- Accession number :
- 55384708
- Full Text :
- https://doi.org/10.1016/j.compfluid.2010.09.026