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==Abstract== | ==Abstract== | ||
| − | The concept of the so called “artificial or balancing diffusion” used to stabilize the | + | The concept of the so called “artificial or balancing diffusion” used to stabilize the numerical solution of advective–diffusive transport and fluid flow problems is revised in this paper. It is shown that the standard forms of the balancing diffusion terms, usually chosen in a heuristic manner, can be naturally found by introducing higher order approximations in the derivation of the governing differential equations via standard conservation (or equilibrium) principles. This allows us to reinterprete many stabilization algorithms and concepts used in every day practice by numerical analysts and also provides an expression for computing the stabilization parameter. |
| − | numerical solution of advective–diffusive transport and fluid flow problems is revised | + | |
| − | in this paper. It is shown that the standard forms of the balancing diffusion terms, | + | <pdf>Media:Draft_Samper_270881696_5757_PII_S0045.pdf</pdf> |
| − | usually chosen in a heuristic manner, can be naturally found by introducing higher | + | |
| − | order approximations in the derivation of the governing differential equations via | + | |
| − | standard conservation (or equilibrium) principles. This allows us to reinterprete many | + | |
| − | stabilization algorithms and concepts used in every day practice by numerical analysts | + | |
| − | and also provides an expression for computing the stabilization parameter. | + | |
Latest revision as of 16:51, 10 December 2018
Published in Comput. Methods Appl. Mech. Engrg., Vol. 151 (1-2), pp. 233-265, 1998
doi: 10.1016/S0045-7825(97)00119-9
Abstract
The concept of the so called “artificial or balancing diffusion” used to stabilize the numerical solution of advective–diffusive transport and fluid flow problems is revised in this paper. It is shown that the standard forms of the balancing diffusion terms, usually chosen in a heuristic manner, can be naturally found by introducing higher order approximations in the derivation of the governing differential equations via standard conservation (or equilibrium) principles. This allows us to reinterprete many stabilization algorithms and concepts used in every day practice by numerical analysts and also provides an expression for computing the stabilization parameter.
Document information
Published on 01/01/1998
DOI: 10.1016/S0045-7825(97)00119-9
Licence: CC BY-NC-SA license