Flat Solitary Waves due to a Submerged Body Moving in a Stratified Fluid
WEI Gang1,2, SU Xiao-Bing1, LU Dong-Qiang2, YOU Yun-Xiang3, DAI Shi-Qiang2
1Faculty of Science, PLA University of Science and Engineering, Nanjing 2111012Shanghai Institute of Applied Mathematics and Mechanics, ShanghaiUniversity, Shanghai 2000723School of Naval Architecture, Ocean and Civil Engineering, Shanghai Jiao Tong University, Shanghai 200030
Flat Solitary Waves due to a Submerged Body Moving in a Stratified Fluid
WEI Gang1,2, SU Xiao-Bing1;LU Dong-Qiang2;YOU Yun-Xiang3;DAI Shi-Qiang2
1Faculty of Science, PLA University of Science and Engineering, Nanjing 2111012Shanghai Institute of Applied Mathematics and Mechanics, ShanghaiUniversity, Shanghai 2000723School of Naval Architecture, Ocean and Civil Engineering, Shanghai Jiao Tong University, Shanghai 200030
摘要A theoretical model for interaction of a submerged moving body with the conjugate flow in a three-layer fluid is proposed to depict the internal flat solitary wave, which is observed in experiments conducted by the present authors. A set of coupled nonlinear algebraic equations is derived for the interfacial displacements. The numerical results indicate that (a) the conjugate flow due to a two-dimensional body moving at the bottom possesses an apparent behaviour with two convex interfaces; (b) the solution satisfying the existence criterion is always unique near the relatively stable state of system. Theoretical analysis is qualitatively consistent with the experimental results obtained.
Abstract：A theoretical model for interaction of a submerged moving body with the conjugate flow in a three-layer fluid is proposed to depict the internal flat solitary wave, which is observed in experiments conducted by the present authors. A set of coupled nonlinear algebraic equations is derived for the interfacial displacements. The numerical results indicate that (a) the conjugate flow due to a two-dimensional body moving at the bottom possesses an apparent behaviour with two convex interfaces; (b) the solution satisfying the existence criterion is always unique near the relatively stable state of system. Theoretical analysis is qualitatively consistent with the experimental results obtained.
WEI Gang;SU Xiao-Bing;LU Dong-Qiang;YOU Yun-Xiang;DAI Shi-Qiang. Flat Solitary Waves due to a Submerged Body Moving in a Stratified Fluid[J]. 中国物理快报, 2008, 25(6): 2128-2131.
WEI Gang, SU Xiao-Bing, LU Dong-Qiang, YOU Yun-Xiang, DAI Shi-Qiang. Flat Solitary Waves due to a Submerged Body Moving in a Stratified Fluid. Chin. Phys. Lett., 2008, 25(6): 2128-2131.
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2008, Vol. 25 
