Comparative study of different formulations and solution methods for two phase flow in saturated porous media.

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Title: Comparative study of different formulations and solution methods for two phase flow in saturated porous media.
Authors: Mathew, Mini1, Kumar, M. S. Mohan2 msmk@civil.iisc.ernet.in
Source: Water Science & Technology. 2010, Vol. 62 Issue 11, p2678-2693. 16p.
Subjects: Comparative studies, Computer simulation, Porous materials, Surface chemistry, Simulation methods & models
Abstract: Six models (Simulators) are formulated and developed with all possible combinations of pressure and saturation of the phases as primary variables. A comparative study between six simulators with two numerical methods, conventional simultaneous and modified sequential methods are carried out. The results of the numerical models are compared with the laboratory experimental results to study the accuracy of the model especially in heterogeneous porous media. From the study it is observed that the simulator using pressure and saturation of the wetting fluid (PW, SW formulation) is the best among the models tested. Many simulators with nonwetting phase as one of the primary variables did not converge when used along with simultaneous method. Based on simulator 1 (PW, SW formulation), a comparison of different solution methods such as simultaneous method, modified sequential and adaptive solution modified sequential method are carried out on 4 test problems including heterogeneous and randomly heterogeneous problems. It is found that the modified sequential and adaptive solution modified sequential methods could save the memory by half and as also the CPU time required by these methods is very less when compared with that using simultaneous method. It is also found that the simulator with PNW and PW as the primary variable which had problem of convergence using the simultaneous method, converged using both the modified sequential method and also using adaptive solution modified sequential method. The present study indicates that pressure and saturation formulation along with adaptive solution modified sequential method is the best among the different simulators and methods tested. [ABSTRACT FROM AUTHOR]
Copyright of Water Science & Technology is the property of IWA Publishing and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: Comparative study of different formulations and solution methods for two phase flow in saturated porous media.
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  Data: <searchLink fieldCode="AR" term="%22Mathew%2C+Mini%22">Mathew, Mini</searchLink><relatesTo>1</relatesTo><br /><searchLink fieldCode="AR" term="%22Kumar%2C+M%2E+S%2E+Mohan%22">Kumar, M. S. Mohan</searchLink><relatesTo>2</relatesTo><i> msmk@civil.iisc.ernet.in</i>
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  Data: <searchLink fieldCode="JN" term="%22Water+Science+%26+Technology%22">Water Science & Technology</searchLink>. 2010, Vol. 62 Issue 11, p2678-2693. 16p.
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  Data: <searchLink fieldCode="DE" term="%22Comparative+studies%22">Comparative studies</searchLink><br /><searchLink fieldCode="DE" term="%22Computer+simulation%22">Computer simulation</searchLink><br /><searchLink fieldCode="DE" term="%22Porous+materials%22">Porous materials</searchLink><br /><searchLink fieldCode="DE" term="%22Surface+chemistry%22">Surface chemistry</searchLink><br /><searchLink fieldCode="DE" term="%22Simulation+methods+%26+models%22">Simulation methods & models</searchLink>
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  Label: Abstract
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  Data: Six models (Simulators) are formulated and developed with all possible combinations of pressure and saturation of the phases as primary variables. A comparative study between six simulators with two numerical methods, conventional simultaneous and modified sequential methods are carried out. The results of the numerical models are compared with the laboratory experimental results to study the accuracy of the model especially in heterogeneous porous media. From the study it is observed that the simulator using pressure and saturation of the wetting fluid (PW, SW formulation) is the best among the models tested. Many simulators with nonwetting phase as one of the primary variables did not converge when used along with simultaneous method. Based on simulator 1 (PW, SW formulation), a comparison of different solution methods such as simultaneous method, modified sequential and adaptive solution modified sequential method are carried out on 4 test problems including heterogeneous and randomly heterogeneous problems. It is found that the modified sequential and adaptive solution modified sequential methods could save the memory by half and as also the CPU time required by these methods is very less when compared with that using simultaneous method. It is also found that the simulator with PNW and PW as the primary variable which had problem of convergence using the simultaneous method, converged using both the modified sequential method and also using adaptive solution modified sequential method. The present study indicates that pressure and saturation formulation along with adaptive solution modified sequential method is the best among the different simulators and methods tested. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Water Science & Technology is the property of IWA Publishing and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.2166/wst.2010.309
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      – Code: eng
        Text: English
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        PageCount: 16
        StartPage: 2678
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      – SubjectFull: Comparative studies
        Type: general
      – SubjectFull: Computer simulation
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      – SubjectFull: Porous materials
        Type: general
      – SubjectFull: Surface chemistry
        Type: general
      – SubjectFull: Simulation methods & models
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      – TitleFull: Comparative study of different formulations and solution methods for two phase flow in saturated porous media.
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              Text: 2010
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