Numerical Simulation of Free Surface Wave Elevations of Point Sources With the Same Source Intensity and Immersion Depth in Uniform Flow

DOU Yilin; LUO Zhiqiang

doi:10.21656/1000-0887.400219

Volume 41 Issue 9

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DOU Yilin, LUO Zhiqiang. Numerical Simulation of Free Surface Wave Elevations of Point Sources With the Same Source Intensity and Immersion Depth in Uniform Flow[J]. Applied Mathematics and Mechanics, 2020, 41(9): 1026-1035. doi: 10.21656/1000-0887.400219

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Numerical Simulation of Free Surface Wave Elevations of Point Sources With the Same Source Intensity and Immersion Depth in Uniform Flow

doi: 10.21656/1000-0887.400219

DOU Yilin¹,
LUO Zhiqiang²

¹Department of Mathematics, Kunming University of Science and Technology,Kunming 650500, P.R.China;²School of Media Engineering, Communication University of Zhejiang,Hangzhou 310000, P.R.China

Funds: The National Natural Science Foundation of China(11561037)

Received Date: 2019-07-18
Rev Recd Date: 2020-01-30
Publish Date: 2020-09-01

Abstract

Abstract

Based on the desingularization numerical method of dissipative Green’s function, the regular wave integral was extended to derive the multi-point source dissipative free surface wave. The variation regularity of free surface wave elevations, profiles and contour lines was simulated numerically with multi-point sources under different arrangements. The proposed numerical method was verified to be correct and effective. The numerical results show that, with double point sources arranged longitudinally, the wave crests and troughs of the 2 sources will superpose mutually when the added point source is located near the wave crest of the single point source; the wave crests and troughs of the 2 sources will interfere mutually when the added point source is located near the wave trough of the single point source, and the wave amplitude will decrease rapidly and oscillate slowly up and down the horizontal line of the free surface. With multi-point sources arranged longitudinally, the wave elevation will undergo the similar periodic changes when the point sources are located at different positions. With multi-point sources arranged transversely, the wave surface changes obviously, and the free surface wave diffuses backward in the form of transverse wave.
- Green’s function with dissipation,
- multi-point source,
- free surface wave elevation,
- periodicity

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References

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