Article citationsMore>>

Fehlberg, E. (1969) Low-Order Classical Runge-Kutta Formulas with Step Size Control and Their Application to Some Heat Transfer Problems. NASA Technical Report 315.

has been cited by the following article:

• TITLE: Full Dynamic Model for Liquid Sloshing Simulation in Cylindrical Tank Shape

  AUTHORS: Omar Noui, Mohamed Bouazara, Marc J. Richard

  KEYWORDS: Fluid-Structure Interaction, Equivalent Mechanical Model, Liquid Discretization, Spring-Mass Model, Spring-Mass Network, Liquid Simulation

  JOURNAL NAME: World Journal of Mechanics, Vol.14 No.4, April 30, 2024

  ABSTRACT: This study presents a comprehensive full dynamic model designed for simulating liquid sloshing behavior within cylindrical tank structures. The model employs a discretization approach, representing the liquid as a network of interconnected spring-damper-mass systems. Key aspects include the adaptation of liquid discretization techniques to cylindrical lateral cross-sections and the calculation of stiffness and damping coefficients. External forces, simulating various vehicle maneuvers, are also integrated into the model. The resulting system of equations is solved using Maple Software with the Runge-Kutta-Fehlberg method. This model enables accurate prediction of liquid displacement and pressure forces, offering valuable insights for tank design and fluid dynamics applications. Ongoing refinement aims to broaden its applicability across different liquid types and tank geometries.