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A new finite volume method for the solution of convection-diffusion equations: analysis of stability and convergence

✍ Scribed by Cordero, E. ;De Biase, L. ;Pennati, V.

Publisher
John Wiley and Sons
Year
1997
Tongue
English
Weight
246 KB
Volume
13
Category
Article
ISSN
1069-8299

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✦ Synopsis

A new high order FV method is presented for the solution of convection±diusion equations, based on a 4-point approximation of the diusive term and on the de®nition of a quadratic pro®le for the approximation of the convective term, in which coecients are obtained by imposing conditions on the truncation error. The method works on unequal volumes (ratios of consecutive volume sizes in the interval [1/3,3]). The properties of this method are analysed formally. Numerical examples are given.

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