RT Journal Article
T1 An efficient iterative solution method for the Chebyshev collocation of advection-dominated transport problems
A1 Pinelli, Alfredo
A1 Couzy, W.
A1 Deville, M. O.
A1 Benocci, C.
AB A new Chebyshev collocation algorithm is proposed for the iterative solution of advection-diffusion problems. The main features of the method lie in the original way in which a finite-difference preconditioner is built and in the fact that the solution is collocated on a set of nodes matching the standard Gauss-Lobatto-Chebyshev set only in the case of pure diffusion problems. The key point of the algorithm is the capability of the preconditioner to represent the high-frequency modes when dealing with advection-dominated problems. The basic idea is developed for a one-dimensional case and is extended to two-dimensional problems. A series of numerical experiments is carried out to demonstrate the efficiency of the algorithm. The proposed algorithm can also be used in the context of the incompressible Navier-Stokes equations.
PB Society for Industrial and Applied Mathematics
SN 1064-8275
YR 1996
FD 1996
LK https://hdl.handle.net/20.500.14352/58576
UL https://hdl.handle.net/20.500.14352/58576
LA eng
NO SPPS (Services du Premier Ministre, Programmation de la Politique Scientifique)
DS Docta Complutense
RD 18 abr 2025