Discretization Techniques of Height Function Method for Greater Increased Accuracy of Mass Conservation
A height function method has been used to solve the shape of free surfaces in incompressible viscous flows for hydrodynamics. Three proposed discretization techniques for the height function method are developed with particular attention to the law of mass conservation. The concept of the proposed t...
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| Format: | Article |
| Language: | English |
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Walailak University
2014-01-01
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| Series: | Walailak Journal of Science and Technology |
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| Online Access: | http://wjst.wu.ac.th/index.php/wjst/article/view/752 |
| _version_ | 1818597059049029632 |
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| author | Boonchai LERTNUWAT |
| author_facet | Boonchai LERTNUWAT |
| author_sort | Boonchai LERTNUWAT |
| collection | DOAJ |
| description | A height function method has been used to solve the shape of free surfaces in incompressible viscous flows for hydrodynamics. Three proposed discretization techniques for the height function method are developed with particular attention to the law of mass conservation. The concept of the proposed techniques is to place a control volume on the most appropriate location in any staggered grid system. First, the proposed techniques and the conventional technique are verified with a simple problem whose exact solution is known. Then, all numerical techniques are examined with a more complicated problem to investigate their accuracy. The simulated results of the proposed techniques are compared to those of conventional technique. Finally, it is concluded that (1) the proposed techniques will give better results than the conventional technique if the grid resolution is sufficiently fine, (2) the first proposed technique gives poorer results than the other proposed techniques, and (3) the second proposed technique gives better results than the third proposed technique, but the third proposed technique is easier to apply due to its explicit form of the equation.
doi:10.14456/WJST.2015.14 |
| first_indexed | 2024-12-16T11:41:47Z |
| format | Article |
| id | doaj.art-e1adabd598f8464baa3c6d423e5c0840 |
| institution | Directory Open Access Journal |
| issn | 1686-3933 2228-835X |
| language | English |
| last_indexed | 2024-12-16T11:41:47Z |
| publishDate | 2014-01-01 |
| publisher | Walailak University |
| record_format | Article |
| series | Walailak Journal of Science and Technology |
| spelling | doaj.art-e1adabd598f8464baa3c6d423e5c08402022-12-21T22:32:56ZengWalailak UniversityWalailak Journal of Science and Technology1686-39332228-835X2014-01-0112210.2004/wjst.v12i1.752442Discretization Techniques of Height Function Method for Greater Increased Accuracy of Mass ConservationBoonchai LERTNUWAT0Department of Mechanical Engineering, Chulalongkorn University, Bangkok 10330A height function method has been used to solve the shape of free surfaces in incompressible viscous flows for hydrodynamics. Three proposed discretization techniques for the height function method are developed with particular attention to the law of mass conservation. The concept of the proposed techniques is to place a control volume on the most appropriate location in any staggered grid system. First, the proposed techniques and the conventional technique are verified with a simple problem whose exact solution is known. Then, all numerical techniques are examined with a more complicated problem to investigate their accuracy. The simulated results of the proposed techniques are compared to those of conventional technique. Finally, it is concluded that (1) the proposed techniques will give better results than the conventional technique if the grid resolution is sufficiently fine, (2) the first proposed technique gives poorer results than the other proposed techniques, and (3) the second proposed technique gives better results than the third proposed technique, but the third proposed technique is easier to apply due to its explicit form of the equation. doi:10.14456/WJST.2015.14http://wjst.wu.ac.th/index.php/wjst/article/view/752Finite volume methodfree surfaceheight function methodhydrodynamictwo-phase flow |
| spellingShingle | Boonchai LERTNUWAT Discretization Techniques of Height Function Method for Greater Increased Accuracy of Mass Conservation Walailak Journal of Science and Technology Finite volume method free surface height function method hydrodynamic two-phase flow |
| title | Discretization Techniques of Height Function Method for Greater Increased Accuracy of Mass Conservation |
| title_full | Discretization Techniques of Height Function Method for Greater Increased Accuracy of Mass Conservation |
| title_fullStr | Discretization Techniques of Height Function Method for Greater Increased Accuracy of Mass Conservation |
| title_full_unstemmed | Discretization Techniques of Height Function Method for Greater Increased Accuracy of Mass Conservation |
| title_short | Discretization Techniques of Height Function Method for Greater Increased Accuracy of Mass Conservation |
| title_sort | discretization techniques of height function method for greater increased accuracy of mass conservation |
| topic | Finite volume method free surface height function method hydrodynamic two-phase flow |
| url | http://wjst.wu.ac.th/index.php/wjst/article/view/752 |
| work_keys_str_mv | AT boonchailertnuwat discretizationtechniquesofheightfunctionmethodforgreaterincreasedaccuracyofmassconservation |