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Numerical simulation of 2D and 3D sloshing waves in a regularly and randomly excited container

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Abstract

In this paper, various aspects of the 2D and 3D nonlinear liquid sloshing problems in vertically excited containers have been studied numerically along with the help of a modified σ-transformation. Based on this new numerical algorithm, a numerical study on a regularly and randomly excited container in vertical direction was conducted utilizing four different cases: The first case was performed utilizing a 2D container with regular excitations. The next case examined a regularly excited 3D container with two different initial conditions for the liquid free surface, and finally, 3D container with random excitation in the vertical direction. A grid independence study was performed along with a series of validation tests. An iteration error estimation method was used to stop the iterative solver (used for solving the discretized governing equations in the computational domain) upon reaching steady state of results at each time step. In the present case, this method was found to produce quite accurate results and to be more time efficient as compared to other conventional stopping procedures for iterative solvers. The results were validated with benchmark results. The wave elevation time history, phase plane diagram and surface plots represent the wave nonlinearity during its motion.

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Authors and Affiliations

  1. Structural and Seismic Engineering Section, Reactor Safety Division, Bhaba Atomic Research Centre, Trombay, Mumbai, 400085, India

    M. Eswaran

  2. Department of Mechanical Engineering, National University of Singapore, Singapore, 119077, Singapore

    Akashdeep S. Virk

  3. Department of Mechanical Engineering, Indian Institute of Technology Guwahati, Guwahati, 781039, India

    Ujjwal K. Saha

Authors
  1. M. Eswaran
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  2. Akashdeep S. Virk
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  3. Ujjwal K. Saha
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Corresponding author

Correspondence to Ujjwal K. Saha.

Additional information

Eswaran M received his PhD in Mechanical Engineering from Indian Institute of Technology Guwahati, India in 2011. Currently, he is working as a Research Associate in Bhaba Atomic Research Centre, Trombay, Mumbai, India under KSKRA Fellowship Scheme. His areas of research interest include slosh dynamics, fluid-structure interactions, computational and experimental fluid dynamics.

Akashdeep S. Virk received his Bachelor of Technology in Mechanical Engineering from Indian Institute of Technology Guwahati, India in 2010. Currently, he is a research intern in the Department of Mechanical Engineering, National University of Singapore, Singapore. His areas of research interest include slosh dynamics, computational and experimental fluid dynamics.

U. K. Saha received his PhD in Aerospace Engineering from Indian Institute of Technology Bombay, India in 1996. Currently, he is a professor in the Department of Mechanical Engineering, Indian Institute of Technology Guwahati. His broad areas of research include internal combustion engines, wind energy, compressor aerodynamics, propulsion and slosh dynamics. He is currently often invited as a reviewer of many international journals and conferences. He has supervised several R&D and consultancy projects. He is an ASME member.

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Eswaran, M., Virk, A.S. & Saha, U.K. Numerical simulation of 2D and 3D sloshing waves in a regularly and randomly excited container. J. Marine. Sci. Appl. 12, 298–314 (2013). https://doi.org/10.1007/s11804-013-1194-x

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  • DOI: https://doi.org/10.1007/s11804-013-1194-x

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