FRACTIONAL STEP METHODS FOR SPECTRAL APPROXIMATION OF ADVECTION-DIFFUSION EQUATIONS

Authors
GERVASIO P
Citation
P. Gervasio, FRACTIONAL STEP METHODS FOR SPECTRAL APPROXIMATION OF ADVECTION-DIFFUSION EQUATIONS, Mathematical models and methods in applied sciences, 6(7), 1996, pp. 1027-1050
Citations number
10
Categorie Soggetti
Mathematical Method, Physical Science",Mathematics
Journal title
Mathematical models and methods in applied sciences → ACNP
ISSN journal
02182025
Volume
6
Issue
7
Year of publication
1996
Pages
1027 - 1050
Database
ISI
SICI code
0218-2025(1996)6:7<1027:FSMFSA>2.0.ZU;2-C
Abstract
Several classical fractional step schemes are proposed for the spectra l approximation of advection-diffusion equation in two-dimensional geo metries. Suitable boundary conditions are studied in order to preserve the accuracy of the schemes at each step. An example is given for the application of the fractional step schemes to solve problems with lar ge Peclet number.