Linearization in ASM1 model for the solution of pollutants transport equations
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 character...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Universidade Estadual de Londrina
2008-08-01
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| Series: | Semina: Ciências Exatas e Tecnológicas |
| Subjects: | |
| Online Access: | http://www.uel.br/revistas/uel/index.php/semexatas/article/view/2973 |
| _version_ | 1818043480520261632 |
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| author | Neyva Maria Lopes Romeiro Rigoberto Gregorio Sanabria Castro Sandra Mara Cardoso Malta |
| author_facet | Neyva Maria Lopes Romeiro Rigoberto Gregorio Sanabria Castro Sandra Mara Cardoso Malta |
| author_sort | Neyva Maria Lopes Romeiro |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-12-10T09:02:53Z |
| format | Article |
| id | doaj.art-3b8cb0f570264bfb9ed1e4a4d28cb39f |
| institution | Directory Open Access Journal |
| issn | 1676-5451 1679-0375 |
| language | English |
| last_indexed | 2024-12-10T09:02:53Z |
| publishDate | 2008-08-01 |
| publisher | Universidade Estadual de Londrina |
| record_format | Article |
| series | Semina: Ciências Exatas e Tecnológicas |
| spelling | doaj.art-3b8cb0f570264bfb9ed1e4a4d28cb39f2022-12-22T01:55:13ZengUniversidade Estadual de LondrinaSemina: Ciências Exatas e Tecnológicas1676-54511679-03752008-08-012914556Linearization in ASM1 model for the solution of pollutants transport equationsNeyva Maria Lopes RomeiroRigoberto Gregorio Sanabria CastroSandra Mara Cardoso MaltaIt 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.http://www.uel.br/revistas/uel/index.php/semexatas/article/view/2973Non linear modelFinite element methodASM1 |
| spellingShingle | Neyva Maria Lopes Romeiro Rigoberto Gregorio Sanabria Castro Sandra Mara Cardoso Malta Linearization in ASM1 model for the solution of pollutants transport equations Semina: Ciências Exatas e Tecnológicas Non linear model Finite element method ASM1 |
| title | Linearization in ASM1 model for the solution of pollutants transport equations |
| title_full | Linearization in ASM1 model for the solution of pollutants transport equations |
| title_fullStr | Linearization in ASM1 model for the solution of pollutants transport equations |
| title_full_unstemmed | Linearization in ASM1 model for the solution of pollutants transport equations |
| title_short | Linearization in ASM1 model for the solution of pollutants transport equations |
| title_sort | linearization in asm1 model for the solution of pollutants transport equations |
| topic | Non linear model Finite element method ASM1 |
| url | http://www.uel.br/revistas/uel/index.php/semexatas/article/view/2973 |
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