Numerical Solution of the Steady Convection-diffusion Equation with Dominant Convection | Zendy

L. A. Krukier | Zendy; O.A. Pichugina | Zendy; Б. Л. Крукиер | Zendy

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Numerical Solution of the Steady Convection-diffusion Equation with Dominant Convection

Author(s) -

L. A. Krukier,

O.A. Pichugina,

Б. Л. Крукиер

Publication year - 2013

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.2013.05.379

Subject(s) - preconditioner , convection–diffusion equation , generalized minimal residual method , péclet number , skew , computer science , diffusion , convection , linear system , diffusion equation , mathematics , mechanics , mathematical analysis , physics , thermodynamics , telecommunications , economy , economics , service (business)

teady convection-diffusion equation in 2-D domain is considered. Central finite-difference approximation has been taken to obtain a large sparse nonsymmetric linear system with positive real matrix. New class of product triangular skew-symmetric iterative methods for solution of such system is presented and considered. Using this method as preconditioner for GMRES and BiCG has been made. Results of numerical experiments for two-dimensional convection-diffusion equation for different big Peclet numbers and velocity coefficients have been presented

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