
Registro 2 de 4 en EI COMPENDEX (19971998/12)
TI: Linearized Theta methods. Part II: reactiondiffusion equations
AU: GarciaLopezCM;
RamosJI
SO: ComputerMethodsinAppliedMechanicsandEngineering.
v 137 n 34 Nov 15 1996, p 357378.
IS: 00457825
AB: Secondorder accurate in space, partiallylinearized, triangular
and diagonal Theta methods for reactiondiffusion equations, which employ
either a standard or a delta formulation, are developed and applied to
both the study of a system of onedimensional, reactiondiffusion equations
with algebraic nonlinear reaction terms and the propagation of a onedimensional,
confined, laminar flame. These methods require the solution of tridiagonal
matrices for each dependent variable, and either uncouple or sequentially
couple the dependent variables at each time step depending on whether they
are diagonally or triangularlylinearized techniques, respectively. Partiallylinearized,
diagonal methods yield larger errors than partiallylinearized, triangular
techniques, and the accuracy of the latter depends on the time step, standard
or delta formulation, implicitness parameter and the order in which the
equations are solved. Fully and partiallylinearized, operatorsplitting
methods for reactiondiffusion equations are also developed; the latter
provide explicit expressions for the solution of the reaction operator.
(Author abstract) 11 Refs.
PY: 1996
LA: English
AN: EIX97093481678
FTXT:
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