Linearization in ASM1 model for the solution of pollutants transport equations.

Linearization in ASM1 model for the solution of pollutants transport equations.

Authors

  • Neyva Maria Lopes Romeiro Universidade Estadual de Londrina
  • Rigoberto Gregorio Sanabria Castro Universidade Estadual do Norte Fluminense
  • Sandra Mara Cardoso Malta Laboratório Nacional de Computação Científica

DOI:

https://doi.org/10.5433/1679-0375.2008v29n1p45

Keywords:

Non linear model, Finite element method, ASM1.

Abstract

It is proposed to reduce the complexity existing in non-linear BIOMOC and ASM1 models using Taylor’s frst-order series expansion in the terms whose reactive processes are non-linear. One of the advantages of linear models is the conservation of non-linear model variables. However, the main characteristic of this methodology refers to the computational time obtained in the numeral simulations, which is much shorter than that concerning the non-linear model results. Numerical results are presented, showing the effciency, precision and solidity of the proposed technique in well-known cases in the literature, using the semi-discrete method of finite elements.

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Author Biographies

Neyva Maria Lopes Romeiro, Universidade Estadual de Londrina

Professora Doutora do Departamento de Matemática da Universidade Estadual de Londrina.

Rigoberto Gregorio Sanabria Castro, Universidade Estadual do Norte Fluminense

Professor Doutor da Universidade Estadual do Norte Fluminense, Campos dos Goytacazes.

Sandra Mara Cardoso Malta, Laboratório Nacional de Computação Científica

Professora Doutora do Laboratório Nacional de Computação Científica, Petrópolis – RJ – Brasil.

Published

2008-07-15

How to Cite

Romeiro, N. M. L., Castro, R. G. S., & Malta, S. M. C. (2008). Linearization in ASM1 model for the solution of pollutants transport equations. Semina: Ciências Exatas E Tecnológicas, 29(1), 45–56. https://doi.org/10.5433/1679-0375.2008v29n1p45

Issue

Section

Original Article

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