Fully nonlinear analysis of second-order sloshing resonance in a three-dimensional tank. (15th August 2015)

• Record Type: Journal Article
• Authors: Zhang, Chongwei; Li, Yajie; Meng, Qicheng
• Is Part Of: Computers & fluids. Volume 116(2015)
• Page Start: 88
• Page End: 104
• Publication Date: 2015-08-15
• Subjects: Sloshing -- Second-order resonance -- Boundary element method -- Fully nonlinear waves -- Three-dimensional tank; Fluid dynamics -- Data processing -- Periodicals; 532.050285
• DOI: 10.1016/j.compfluid.2015.04.016
• Languages: English
• ISSNs: 0045-7930

Abstract

Highlights: A 3D paralleled boundary element method is developed for sloshing simulations. Fully-nonlinear potential theory is used to study second-order resonance in rectangular tanks. Second-order resonance effect grows with time. Amplifying the excitation amplitude can speed up occurrence of 2nd-order resonance. Second-order resonance may be triggered by interaction of 3D orthogonal plane waves. Abstract: The 3D boundary element method (BEM) based on the potential flow theory is developed to study the second-order resonance problems in rectangular sloshing tanks. Fully-nonlinear free-surface boundary conditions are considered. A local surface fitting method is used to calculate tangential derivatives. A shared-memory parallel procedure based on OpenMP is adopted for the efficiency improvement. Both 2D and 3D sloshing cases are studied. It is found that the second-order resonance may occur due to the interaction among natural frequencies and excitations frequencies. The second-order resonance becomes obvious after a sufficient long time length. After increasing the excitation amplitude, the second-order resonance emerges much earlier. For 3D situations, the second-order resonance in rectangular tanks with either equal or unequal length and width sides are investigated. The second-order resonances due to the interaction of two orthogonal plane waves in length and width directions are observed.