Accurate prediction of complex free surface flow around a high speed craft using a single-phase level set method

In this paper, we develop a new computational framework to investigate the sloshing free surface flow of Newtonian and non-Newtonian fluids in the rectangular tanks. We simulate the flow via a two-phase model and employ the fixed unstructured mesh in the computation to avoid the mesh distortion and reconstruction. As for the solution of Navier–Stokes equation, we utilize the SUPG finite element method based on the splitting scheme. The same order interpolation functions are then used for velocity and pressure. Moreover, the moving interface is captured via the concise level set method. We take advantage of the implicit discontinuous Galerkin method to handle the solution of level set and its reinitialization equations. A mass correction technique is also added to ensure the mass conservation property. The dam break-free surface flow is simulated firstly to demonstrate the validity of our mathematical model. In addition, the sloshing Newtonian fluid in the tank with flat and rough bottoms is considered to illustrate the feasibility and robustness of our computational scheme. Finally, the development of free surface for non-Newtonian fluid is also studied in the two tanks, and the influence of power-law index on the sloshing fluid flow is analyzed.

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An unsteady single-phase level set method for viscous free surface flows

International Journal for Numerical Methods in Fluids ◽

10.1002/fld.1279 ◽

2006 ◽

Vol 53 (2) ◽

pp. 229-256 ◽

Cited By ~ 102

Author(s):

P. M. Carrica ◽

R. V. Wilson ◽

F. Stern

Keyword(s):

Free Surface ◽

Level Set Method ◽

Level Set ◽

Single Phase ◽

Free Surface Flows ◽

Surface Flows

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Level set-based topology optimization for free surface flow using MPS method

The Proceedings of OPTIS ◽

10.1299/jsmeoptis.2018.13.106 ◽

2018 ◽

Vol 2018.13 (0) ◽

pp. 106

Author(s):

Yusuke Sasaki ◽

Takayuki Yamada ◽

Kazuhiro Izui ◽

Shinji Nishiwaki

Keyword(s):

Free Surface ◽

Topology Optimization ◽

Level Set ◽

Free Surface Flow ◽

Surface Flow ◽

Mps Method

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Simulation of Wave-Body Interaction Using a Single-Phase Level Set Function in the SWENSE Method

Volume 7: CFD and VIV ◽

10.1115/omae2013-11097 ◽

2013 ◽

Author(s):

Gabriel Reliquet ◽

Aurélien Drouet ◽

Pierre-Emmanuel Guillerm ◽

Erwan Jacquin ◽

Lionel Gentaz ◽

...

Keyword(s):

Free Surface ◽

Level Set Method ◽

Level Set ◽

Single Phase ◽

Stokes Equations ◽

Flow Theory ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Level Set Function ◽

Set Function

The purpose of this paper is to present combination of the SWENSE (Spectral Wave Explicit Navier-Stokes Equations – [1]) method — an original method to treat fully nonlinear wave-body interactions — and a free surface RANSE (Reynolds Averaged Navier-Stokes Equations) solver using a single-phase Level Set method to capture the interface. The idea is to be able to simulate wave-body interactions under viscous flow theory with strong deformations of the interface (wave breaking in the vicinity of the body, green water on ship decks…), while keeping the advantages of the SWENSE scheme. The SWENSE approach is based on a physical decomposition by combining incident waves described by a nonlinear spectral scheme based on potential flow theory and an adapted Navier-Stokes solver where only the diffracted part of the flow is solved, incident flow parameters seen as forcing terms. In the single-phase Level Set method [2, 3], the air phase is neglected. Thus, only the liquid phase is solved considering a fluid with uniform properties. The location of the free surface is determined by a Level Set function initialised as the signed distance. The accuracy of simulation depends essentially on the pressure scheme used to impose free surface dynamic boundary condition. Comparisons of numerical results with experimental and numerical data for US navy combatant DTMB 5415 in calm water and in head waves are presented.

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