Chebyshev Pseudospectral Solution of Advection-diffusion Equations With Mapped Finite-difference Preconditioning

Pinelli, A.;Benocci, C.;Deville, M.
(1994) Journal of Computational Physics — Vol. 112, n° 1, p. 1-11 (1994)

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Authors
  • Pinelli, A.
    Author
  • Benocci, C.
    Author
  • Deville, M.
    Author
Abstract
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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Pinelli, A., Benocci, C., & Deville, M. (1994). Chebyshev Pseudospectral Solution of Advection-diffusion Equations With Mapped Finite-difference Preconditioning. Journal of Computational Physics, 112(1), 1-11. https://doi.org/10.1006/jcph.1994.1077 (Original work published 1994)