CHEBYSHEV PSEUDOSPECTRAL SOLUTION OF ADVECTION-DIFFUSION EQUATIONS WITH MAPPED FINITE-DIFFERENCE PRECONDITIONING

Authors
PINELLI A BENOCCI C DEVILLE M
Citation
A. Pinelli et al., CHEBYSHEV PSEUDOSPECTRAL SOLUTION OF ADVECTION-DIFFUSION EQUATIONS WITH MAPPED FINITE-DIFFERENCE PRECONDITIONING, Journal of computational physics, 112(1), 1994, pp. 1-11
Citations number
8
Categorie Soggetti
Mathematical Method, Physical Science","Computer Science Interdisciplinary Applications","Physycs, Mathematical
Journal title
Journal of computational physics → ACNP
ISSN journal
00219991
Volume
112
Issue
1
Year of publication
1994
Pages
1 - 11
Database
ISI
SICI code
0021-9991(1994)112:1<1:CPSOAE>2.0.ZU;2-I
Abstract
A new Chebyshev pseudo-spectral algorithm with finite difference preco nditioning is proposed for the solution of advection-diffusion equatio ns. A mapping technique is introduced which allows good convergence fo r any Peclet number both for one-dimensional and two-dimensional probl ems. Numerical results show that first-order Lagrange polynomials are the optimal mapping procedure for the one-dimensional problem and seco nd-order Lagrange polynomials, for the two-dimensional one. (C) 1994 A cademic Press, Inc.