High-resolution scheme based on the undetermined coefficient method and its application
The upwind scheme exhibits spurious oscillations in resolving the convectively dominated problems. In this paper, a high-resolution scheme for advection equation was developed by using the undetermined coefficient method to reduce the numerical diffusion. The new scheme is applied to a rectangular...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Eastern Macedonia and Thrace Institute of Technology
2013-07-01
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| Series: | Journal of Engineering Science and Technology Review |
| Subjects: | |
| Online Access: | http://www.jestr.org/downloads/Volume6Issue1/fulltext246113.pdf |
| Summary: | The upwind scheme exhibits spurious oscillations in resolving the convectively dominated problems. In this paper, a
high-resolution scheme for advection equation was developed by using the undetermined coefficient method to reduce
the numerical diffusion. The new scheme is applied to a rectangular wave and a Gaussian wave. The results show that the
new scheme agrees well with the exact solution for pure convection of a Gauss wave and the rectangular wave. The new
scheme has better accuracy than the conventional upwind scheme. |
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| ISSN: | 1791-2377 1791-2377 |