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Chebyshev Pseudospectral Solution of Advection-Diffusion Equations with Mapped Finite Difference Preconditioning

✍ Scribed by A. Pinelli; C. Benocci; M. Deville

Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
381 KB
Volume
112
Category
Article
ISSN
0021-9991

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✦ Synopsis

A new Chebyshev pseudo-spectral algorithm with finite difference preconditioning is proposed for the solution of advection-diffusion equations. A mapping technique is introduced which allows good convergence for any Peclet number both for one-dimensional and two-dimensional problems. Numerical results show that first-order Lagrange polynomials are the optimal mapping procedure for the one-dimensional problem and second-order Lagrange polynomials, for the two-dimensional one. (c) 1994 Academic Press, Inc.

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