Numerical Analysis of Sloshing and Wave Breaking in a Small Vessel by CIP-LSM

Abstract

For the prediction of sloshing in the propellant tank of a rocket vehicle, the preliminary investigation was conducted. The flow field in the propellant tank during the ballistic flight of the vehicle was experimentally reproduced with the sub-scale model. The lateral acceleration as large as about 0.8 G was provided with a mechanical exciter and the deformation of the liquid surface in the small vessel was visualized with a high-speed camera. The sloshing phenomena were also simulated with the CFD code, called CIP-LSM. The important features of surface deformation and wave breaking were successfully reproduced in the computation.

Pressure‐based unified solver for gas‐liquid two‐phase flows where compressible and incompressible flows coexist

“…We proposed a pressure‐based unified solver for gas‐liquid two‐phase flows where compressible and incompressible flows coexist. Unlike the original thermo–CIP‐CUP method proposed by Himeno and Watanabe, we split the advection term of the governing equations into a conservation part and into the rest. The splitting of advection term has two advantages.…”

“…The CIP‐CUP method solves the pressure equation derived from the nonconservation form of the governing equations to stabilize the calculations of the high density ratio between a gas and a liquid, unlike conventional pressure‐based unified solvers for single‐phase flows, such as that done in the works of Harlow and Amsden and Issa . The CIP‐CUP method was modified by Himeno as the thermo–CIP‐CUP method for thermofluid analyses . The pressure‐based unified solvers based on the CIP‐CUP method such as the thermo–CIP‐CUP method have been applied to various flows, for example, sloshing of liquid fuel in spacecraft and injection of liquid fuel in diesel engines .…”

“…4 The CIP-CUP method was modified by Himeno as the thermo-CIP-CUP method for thermofluid analyses. [5][6][7] The pressure-based unified solvers based on the CIP-CUP method such as the thermo-CIP-CUP method have been applied to various flows, for example, sloshing of liquid fuel in spacecraft 8 and injection of liquid fuel in diesel engines. 9 However, these methods have not sufficiently shown its effectiveness for large-eddy simulation (LES) of turbulence and supersonic flows and have not been applied for unstructured grids composed of arbitrary polyhedra because it discretizes the advection term of the nonconservation form using a semi-Lagrangian scheme such as the cubic interpolated propagation (CIP) method.…”

Direct Numerical Simulation of Turbulent Channel Flow with Deformed Bubbles

“…In this study, to refine the calculation of the surface tension acted on the bubbles, a kind of the level-set function (:) 7) estimated by using the VOF function, was used for the calculation of the surface tension forces, as following, 8) …”

A pressure-based method for solving low Mach number two-phase flows with surface tension

“…For calculating the pressure equation, we use the inner iteration performed by the linear equation solver. In accordance with the scheme of Himeno et al (2004), the density ρ m is obtained from Eq. (30) to stabilize the computation by constantly imposing the EOS on the intermediate solutions.…”