A conservative characteristic finite volume element method for solution of the advection–diffusion equation
✍ Scribed by Hongxing Rui
- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 492 KB
- Volume
- 197
- Category
- Article
- ISSN
- 0045-7825
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📜 SIMILAR VOLUMES
In this paper, a note on the finite element method for the space-fractional advection diffusion equation with non-homogeneous initial-boundary condition is given, where the fractional derivative is in the sense of Caputo. The error estimate is derived, and the numerical results presented support the
## Abstract This paper presents a stabilized mixed finite element method for the first‐order form of advection–diffusion equation. The new method is based on an additive split of the flux‐field into coarse‐ and fine‐scale components that systematically lead to coarse and fine‐scale variational form
Characteristic methods generally generate accurate numerical solutions and greatly reduce grid orientation effects for transient advection-diffusion equations. Nevertheless, they raise additional numerical difficulties. For instance, the accuracy of the numerical solutions and the property of local
We present a fully conservative, high-resolution, finite volume algorithm for advection-diffusion equations in irregular geometries. The algorithm uses a Cartesian grid in which some cells are cut by the embedded boundary. A novel feature is the use of a "capacity function" to model the fact that so