doi: 10.1016/S0045-7825(97)00119-9

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==Abstract==

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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.

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