CIFASIS 20631
CENTRO INTERNACIONAL FRANCO ARGENTINO DE CIENCIAS DE LA INFORMACION Y DE SISTEMAS
Unidad Ejecutora - UE
artículos
Título:
Time Discretization versus State Quantization in the Simulation of a 1D Advection-Diffusion-Reaction Equation
Autor/es:
FEDERICO BERGERO; JOAQUÍN FERNÁNDEZ; ERNESTO KOFMAN; MARGARITA PORTAPILA
Revista:
SIMULATION-TRANSACTIONS OF THE SOCIETY FOR MODELING AND SIMULATION INTERNATIONAL
Editorial:
SAGE PUBLICATIONS LTD
Referencias:
Lugar: London; Año: 2015 vol. 92 p. 47 - 61
ISSN:
0037-5497
Resumen:
In this article, we study the effects of replacing the time discretiza-tion by the quantization of the state variables on a one dimensionalAdvection-Diffusion-Reaction (ADR) problem. For that purpose the1D ADR equation is first discretized in space using a regular grid, toobtain a set of time dependent ordinary differential equations (ODEs).Then we compare the simulation performance using classic discretetime algorithms and using Quantized State Systems (QSS) methods.The performance analysis is done for different sets of diffusion andreaction parameters and also changing the space discretization refine-ment.This analysis shows that, in advection-reaction dominated situa-tions, the second order linearly implicit QSS method outperforms allthe conventional algorithms (DOPRI, Radau and DASSL) in more thanone order of magnitude.
