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<p>This paper presents a numerical investigation of nonlinear sloshing in a prismatic tank. A three-dimensional, two-phase flow model based on Cartesian grid is developed to simulate the phenomenon. The model solves incompressible Navier-Stokes equations, utilizing the fractional step method for velocity-pressure decoupling. The finite difference method discretizes spatial derivatives, with specific schemes implemented to enhance model robustness. Model validation involves simulating benchmark cases, and comparing wave profiles and pressure results with published experimental data and numerical findings. The model demonstrates robustness and accuracy in simulating violent sloshing. The validated model examines sloshing in a partially filled prismatic tank under combined surge and roll excitations. The study employs eight frequencies encompassing the natural frequencies of tank roll and surge motions. Roll motion excitation is fixed at 2°, while surge motion considers three excitation amplitudes (0.0 m, 0.01 m, and 0.02 m). Analysis reveals the effects of surge amplitude and excitation frequency on wave patterns, amplitudes, and pressure peaks. Results indicate the presence of multi-component waves, including transverse, diagonal, and longitudinal waves. Furthermore, the findings demonstrate a reduction in the natural frequency for surge motion through pressure peak analysis.</p>

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Numerical Simulation of Nonlinear Sloshing in a Prismatic Tank Under Combined Surge and Roll Excitations

  • 期刊论文

  • 发表日期：

    2025年12月27日

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  • Yun-xing Zhang,
  • Yi-fan Zhang

摘要

This paper presents a numerical investigation of nonlinear sloshing in a prismatic tank. A three-dimensional, two-phase flow model based on Cartesian grid is developed to simulate the phenomenon. The model solves incompressible Navier-Stokes equations, utilizing the fractional step method for velocity-pressure decoupling. The finite difference method discretizes spatial derivatives, with specific schemes implemented to enhance model robustness. Model validation involves simulating benchmark cases, and comparing wave profiles and pressure results with published experimental data and numerical findings. The model demonstrates robustness and accuracy in simulating violent sloshing. The validated model examines sloshing in a partially filled prismatic tank under combined surge and roll excitations. The study employs eight frequencies encompassing the natural frequencies of tank roll and surge motions. Roll motion excitation is fixed at 2°, while surge motion considers three excitation amplitudes (0.0 m, 0.01 m, and 0.02 m). Analysis reveals the effects of surge amplitude and excitation frequency on wave patterns, amplitudes, and pressure peaks. Results indicate the presence of multi-component waves, including transverse, diagonal, and longitudinal waves. Furthermore, the findings demonstrate a reduction in the natural frequency for surge motion through pressure peak analysis.