Reference : On destabilizing implicit factors in discrete advection-diffusion equations
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Physics
Engineering, computing & technology : Computer science
http://hdl.handle.net/2268/9271
On destabilizing implicit factors in discrete advection-diffusion equations
English
Beckers, Jean-Marie mailto [Université de Liège - ULiège > Département d'astrophys., géophysique et océanographie (AGO) > Océanographie physique >]
1994
Journal of Computational Physics
Academic Press
111
2
260-265
Yes (verified by ORBi)
International
0021-9991
[en] In the present paper, we find necessary and sufficient stability conditions for a simple one-time step finite difference discretization of an N-dimensional advection-diffusion equation. Furthermore, it is shown that when the implicit factors differ in each direction, a strange behavior occurs: By increasing one implicit factor in only one direction, a stable scheme can become unstable. It is thus suggested to use a single implicit direction (for efficient computing), or the same implicit factor in each direction. (C) 1994 Academic Press, Inc.
http://hdl.handle.net/2268/9271
10.1006/jcph.1994.1061

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