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A new numerical strategy for the resolution of high-Péclet advection–diffusion problems
- Source :
-
Computer Methods in Applied Mechanics & Engineering . Oct2012, Vol. 241-244, p302-310. 9p. - Publication Year :
- 2012
-
Abstract
- Abstract: This paper introduces a discontinuous method for the efficient determination of an approximate numerical solution of the two-dimensional advection–diffusion equation. Using the VTCR methodology (see ), this method involves free-space solutions of the governing partial differential equation. For the advection–diffusion equation with constant coefficients, the free-space solutions are exponential functions with a sharp gradient. The continuity of the solution across element boundaries is enforced weakly through a dedicated variational formulation. Preliminary results for a certain type of benchmark problem suggest that this approach is a promising numerical tool for handling such problems. [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 00457825
- Volume :
- 241-244
- Database :
- Academic Search Index
- Journal :
- Computer Methods in Applied Mechanics & Engineering
- Publication Type :
- Academic Journal
- Accession number :
- 79186167
- Full Text :
- https://doi.org/10.1016/j.cma.2012.06.014