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PERFORMANCE OF A REAL CODED GENETIC ALGORITHM FOR THE CALIBRATION OF SCALAR CONSERVATION LAWS

Published online by Cambridge University Press:  01 July 2016

S. BERRES Open the ORCID record for S. BERRES [Opens in a new window] ,
A. CORONEL Open the ORCID record for A. CORONEL [Opens in a new window] ,
R. LAGOS Open the ORCID record for R. LAGOS [Opens in a new window]  and
M. SEPÚLVEDA Open the ORCID record for M. SEPÚLVEDA [Opens in a new window]
S. BERRES*
Affiliation:
Departamento de Ciencias Matemáticas y Físicas, Facultad de Ingeniería, Universidad Católica de Temuco, Temuco, Chile email sberres@uct.cl
A. CORONEL
Affiliation:
GMA, Departamento de Ciencias Básicas, Facultad de Ciencias, Universidad del Bío-Bío, Campus Fernando May, Chillán, Chile email acoronel@ubiobio.cl
R. LAGOS
Affiliation:
Departamento de Matemática y Física, Facultad de Ciencias, Universidad de Magallanes, Punta Arenas, Chile email richard.lagos@umag.cl
M. SEPÚLVEDA
Affiliation:
CI$^{2}$MA and DIM, Universidad de Concepción, Concepción, Chile email mauricio@ing-mat.udec.cl
*
✉sberres@uct.cl
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Abstract

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This paper deals with the flux identification problem for scalar conservation laws. The problem is formulated as an optimization problem, where the objective function compares the solution of the direct problem with observed profiles at a fixed time. A finite volume scheme solves the direct problem and a continuous genetic algorithm solves the inverse problem. The numerical method is tested with synthetic experimental data. Simulation parameters are recovered approximately. The tested heuristic optimization technique turns out to be more robust than classical optimization techniques.

Keywords

real coded genetic algorithmparameter identificationscalar conservation lawsflux identificationsedimentation

MSC classification

Primary: 90C59: Approximation methods and heuristics
Secondary: 90C30: Nonlinear programming
Type
Research Article
Information
The ANZIAM Journal , Volume 58 , Issue 1 , July 2016 , pp. 51 - 77
Copyright
© 2016 Australian Mathematical Society 

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