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Numerical simulation of wave pattern with variational multiscale method
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Xiaogang Liu1, Ruichao Ren2, Zhen Wang1, Xiaojian Hui1, Peijun Zhang1
Haiyang Xuebao | 2020, 42(11) : 34 - 38
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Haiyang Xuebao | 2020, 42(11): 34-38
• Article •
Numerical simulation of wave pattern with variational multiscale method
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Xiaogang Liu1, Ruichao Ren2, Zhen Wang1, Xiaojian Hui1, Peijun Zhang1
Affiliations
  • 1 School of Science, Xijing University, Xi’an 710123, China
  • 2 School of Mathematics, Northwest University, Xi’an 710127, China
Published: 2020-11-25 doi: 10.3969/j.issn.0253-4193.2020.11.004
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For the wave model, we combine the variational multiscale method with the free surface captured technology, and decompose various physical quantities of the wave model into “coarse” scale and “fine” scale following the variational multiscale method, and introduce the stabilization structure to eliminate numerical pseudo oscillation. Finally, the total variational multiscale equation of coupling “coarse” scale and “fine” scale is solved to simulate the water wave oscillating freely in a cycle and wave propagation. The numerical results show that the numerical results is accurate, and the method eliminates the spurious oscillations, and simulate correctly the phenomenon of periodic changes of water waves oscillating freely and wave propagation.

wave model  /  variational multiscale  /  stabilized methods  /  free surface
Xiaogang Liu, Ruichao Ren, Zhen Wang, Xiaojian Hui, Peijun Zhang. Numerical simulation of wave pattern with variational multiscale method[J]. Haiyang Xuebao, 2020 , 42 (11) : 34 -38 . DOI: 10.3969/j.issn.0253-4193.2020.11.004
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Year 2020 volume 42 Issue 11
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Article Info
doi: 10.3969/j.issn.0253-4193.2020.11.004
  • Receive Date：2018-10-09
  • Online Date：2026-03-27
  • Published：2020-11-25
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History
  • Received：2018-10-09
  • Revised：2019-09-05
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Affiliations
    1 School of Science, Xijing University, Xi’an 710123, China
    2 School of Mathematics, Northwest University, Xi’an 710127, China
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小菇属 Mycena 11 5.26
光柄菇属 Pluteus 5 2.39
红菇属 Russula 17 8.13
栓菌属 Trametes 5 2.39
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