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http://hdl.handle.net/1783.1/2618
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| Title: | The numerical study of roll-waves in inclined open channels and solitary wave run-up |
| Authors: | Xu, Kun
Que, Yin-Tik |
| Keywords: | Gas-kinetic scheme
Shallow water equations
Roll wave
Solitary wave |
| Issue Date: | 2006 |
| Citation: | International journal for numerical methods in fluids, v. 50, no. 9, 2006, p. 1003-1027 |
| Abstract: | In this paper, we introduce a finite-volume kinetic BGK scheme and its applications to the study of roll and solitary waves. The current scheme is based on the numerical solution of the gas-kinetic Bhatnagar-Gross-Krook model in the flux evaluation across each cell interface. An intrinsic connection between the BGK model and time-dependent, non-linear, non-homogeneous shallow-water equations enables us to solve shallow-water equations automatically with our kinetic scheme. The analytical solution, experimental measurements, and numerical calculations for problems associated with roll-waves down an inclined open channel and solitary waves incident on a sloped beach, are also presented. |
| Rights: | This is a preprint article published in International Journal for Numerical Methods in Fluids © 2006 Wiley. The original article is posted on the journal's web site at http://www.interscience.wiley.com |
| URI: | http://hdl.handle.net/1783.1/2618 |
| Appears in Collections: | MATH Journal/Magazine Articles
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| bgk.pdf | pre-published version | 670Kb | Adobe PDF | View/Open |
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