New Scheme of Finite Difference Heterogeneous Multiscale Method to Solve Saturated Flow in Porous Media
A new finite difference scheme, the development of the finite difference heterogeneous multiscale method (FDHMM), is constructed for simulating saturated water flow in random porous media. In the discretization framework of FDHMM, we follow some ideas from the multiscale finite element method and co...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/575298 |
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| _version_ | 1832561735994703872 |
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| author | Fulai Chen Li Ren |
| author_facet | Fulai Chen Li Ren |
| author_sort | Fulai Chen |
| collection | DOAJ |
| description | A new finite difference scheme, the development of the finite difference heterogeneous multiscale method (FDHMM), is constructed for simulating saturated water flow in random porous media. In the discretization framework of FDHMM, we follow some ideas from the multiscale finite element method and construct basic microscopic elliptic models. Tests on a variety of numerical experiments show that, in the case that only about a half of the information of the whole microstructure is used, the constructed scheme gives better accuracy at a much lower computational time than FDHMM for the problem of aquifer response to sudden change in reservoir level and gives comparable accuracy at a much lower computational time than FDHMM for the weak drawdown problem. |
| format | Article |
| id | doaj-art-d30e0f4bde97401abb08673e3959edf5 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-d30e0f4bde97401abb08673e3959edf52025-02-03T01:24:24ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/575298575298New Scheme of Finite Difference Heterogeneous Multiscale Method to Solve Saturated Flow in Porous MediaFulai Chen0Li Ren1Department of Mathematics, Xiangnan University, Chenzhou 423000, ChinaDepartment of Soil and Water Sciences, China Agricultural University and Key Laboratory of Plant-Soil Interactions, MOE, Beijing 100094, ChinaA new finite difference scheme, the development of the finite difference heterogeneous multiscale method (FDHMM), is constructed for simulating saturated water flow in random porous media. In the discretization framework of FDHMM, we follow some ideas from the multiscale finite element method and construct basic microscopic elliptic models. Tests on a variety of numerical experiments show that, in the case that only about a half of the information of the whole microstructure is used, the constructed scheme gives better accuracy at a much lower computational time than FDHMM for the problem of aquifer response to sudden change in reservoir level and gives comparable accuracy at a much lower computational time than FDHMM for the weak drawdown problem.http://dx.doi.org/10.1155/2014/575298 |
| spellingShingle | Fulai Chen Li Ren New Scheme of Finite Difference Heterogeneous Multiscale Method to Solve Saturated Flow in Porous Media Abstract and Applied Analysis |
| title | New Scheme of Finite Difference Heterogeneous Multiscale Method to Solve Saturated Flow in Porous Media |
| title_full | New Scheme of Finite Difference Heterogeneous Multiscale Method to Solve Saturated Flow in Porous Media |
| title_fullStr | New Scheme of Finite Difference Heterogeneous Multiscale Method to Solve Saturated Flow in Porous Media |
| title_full_unstemmed | New Scheme of Finite Difference Heterogeneous Multiscale Method to Solve Saturated Flow in Porous Media |
| title_short | New Scheme of Finite Difference Heterogeneous Multiscale Method to Solve Saturated Flow in Porous Media |
| title_sort | new scheme of finite difference heterogeneous multiscale method to solve saturated flow in porous media |
| url | http://dx.doi.org/10.1155/2014/575298 |
| work_keys_str_mv | AT fulaichen newschemeoffinitedifferenceheterogeneousmultiscalemethodtosolvesaturatedflowinporousmedia AT liren newschemeoffinitedifferenceheterogeneousmultiscalemethodtosolvesaturatedflowinporousmedia |