Open AccessSpecial iterative methods for solution of the steady Convection-Diffusion-Reaction equation with dominant convection
Author(s) -
L. A. Krukier,
T.S. Martinova,
Б. Л. Крукиер,
O.A. Pichugina
Publication year - 2015
Publication title -
procedia computer science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.334
H-Index - 76
ISSN - 1877-0509
DOI - 10.1016/j.procs.2015.05.304
Subject(s) - iterative method , convection–diffusion equation , convergence (economics) , péclet number , coefficient matrix , variable (mathematics) , reaction–diffusion system , diffusion , mathematics , mathematical analysis , mechanics , physics , mathematical optimization , thermodynamics , eigenvalues and eigenvectors , quantum mechanics , economics , economic growth
Iterative methods based on skew-symmetric splitting of initial matrix, arising from central finite-difference approximation of steady convection-diffusion-reaction (CDR) equation in 2-D domain are considered. The property of obtained large sparse nonsymmetric linear system Au=f is investigated. A new class of triangular and product triangular skew-symmetric iterative methods is presented. Sufficient conditions of convergence for iterative methods of solution CDR with variable coefficient of reaction and dominant convection are obtained.The results of numerical experiments for the solution of a two-dimensional CDR equation are presented. The uniform grid, central differences for the first derivatives, natural ordering of points, Peclet numbers Pe=103, 104, 105, variable coefficient of reaction and different velocity coefficients have been used
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