Mathematical modelling of water filtration
The aim of this project is to develop a mathematical formulation called finite volume method which can provide stabilized numerical results for convection-diffusion problems. The finite volume method is studied and applied to investigate the problem of water filtration through a membrane. The values...
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Format: | Final Year Project |
Language: | English |
Published: |
2015
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Online Access: | http://hdl.handle.net/10356/63988 |
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Institution: | Nanyang Technological University |
Language: | English |
Summary: | The aim of this project is to develop a mathematical formulation called finite volume method which can provide stabilized numerical results for convection-diffusion problems. The finite volume method is studied and applied to investigate the problem of water filtration through a membrane. The values of concentration are obtained by using the explicit scheme method which is based on the finite volume method. To demonstrate the applicability of the method, an unsteady convection-diffusion problem is performed in the one-dimensional semi-infinite domain. The numerical results will then solve using MATLAB software program. |
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