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http://dx.doi.org/10.3744/SNAK.2021.58.5.271

Simulation of a Pulsating Air Pocket in a Sloshing Tank Using Unified Conservation Laws and HCIB Method  

Shin, Sangmook (Department of Naval Architecture and Marine Systems Engineering, Pukyong National University)
Publication Information
Journal of the Society of Naval Architects of Korea / v.58, no.5, 2021 , pp. 271-280 More about this Journal
Abstract
The code developed using a pressure-based method for unified conservation laws of incompressible/compressible fluids is expanded to handle moving or deforming body boundaries using the hybrid Cartesian/immersed boundary method. An instantaneous pressure field is calculated from a pressure Poisson equation for the whole fluid domain, including the compressible gas region. The polytropic gas is assumed for the compressible fluid so that the energy equation is decoupled. Immersed boundary nodes are identified based on edges crossing body boundaries. The velocity vector is reconstructed at the immersed boundary node using an interpolation along the assigned local normal line. The developed code is validated by comparing the time histories of pressure and wave elevation for sloshing in a rectangular and a membrane-type tank. The validated code is applied to simulate air cushion effects in a rectangular tank under sway motion. Time variations of pressure fields are analyzed in detail as the air pocket pulsates. It is shown that the contraction and expansion of the air pocket dominate the pressure loads on the wall of the tank. The present results are in good agreement with other experimental and computational results for the amplitude and the decay of the pressure oscillations measured at the pressure gauges.
Keywords
Incompressible free surface flow; Compressible entrapped air pocket; Hybrid Cartesian/Immersed Boundary method; Pulsating pressure; Sloshing;
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