A hybrid Lagrangian–Eulerian particle-level set method for numerical simulations of two-fluid turbulent flows

2008 ◽  
Vol 56 (12) ◽  
pp. 2271-2300 ◽  
Author(s):  
Zhaorui Li ◽  
Farhad A. Jaberi ◽  
Tom I-P. Shih
Keyword(s):  
Numerical Simulations ◽  
Turbulent Flows ◽  
Level Set Method ◽  
Level Set ◽  
Particle Level ◽  
Particle Level Set Method ◽  
Two Fluid

NUMERICAL SIMULATION OF RAYLEIGH–TAYLOR INSTABILITY BASED ON AN IMPROVED PARTICLE LEVEL SET METHOD

2014 ◽  
Vol 11 (04) ◽  
pp. 1350094 ◽  
Author(s):  
HUI TIAN ◽  
GUOJUN LI ◽  
XIONGWEN ZHANG
Keyword(s):  
Level Set Method ◽  
Level Set ◽  
Stokes Equations ◽  
Density Ratio ◽  
Immiscible Fluids ◽  
Taylor Instability ◽  
Wide Range ◽  
Particle Level ◽  
Rayleigh Taylor Instability ◽  
Particle Level Set Method

An improved particle correction procedure for particle level set method is proposed and applied to the simulation of Rayleigh–Taylor instability (RTI) of the incompressible two-phase immiscible fluids. In the proposed method, an improved particle correction method is developed to deal with all the relative positions between escaped particles and cell corners, which can reduce the disturbance arising in the distance function correction process due to the non-normal direction movement of escaped particles. The improved method is validated through accurately capturing the moving interface of the Zalesak's disk. Furthermore, coupled with the projection method for solving the Navier–Stokes equations, the time-dependent evolution of the RTI interface over a wide range of Reynolds numbers, Atwood numbers and Weber numbers are numerically investigated. A good agreement between the present results and the existing analytical solutions is obtained and the accuracy of the proposed method is further verified. Moreover, the effects of control parameters including viscosity, density ratio, and surface tension coefficient on the evolution of RTI are analyzed in detail, and a critical Weber number for the development of RTI is found.

scholarly journals A fast and accurate semi-Lagrangian particle level set method

2005 ◽  
Vol 83 (6-7) ◽  
pp. 479-490 ◽  
Author(s):  
Douglas Enright ◽  
Frank Losasso ◽  
Ronald Fedkiw
Keyword(s):  
Level Set Method ◽  
Level Set ◽  
Lagrangian Particle ◽  
Particle Level ◽  
Particle Level Set Method

scholarly journals A Hybrid Particle Level Set Method for Two-Phase Flow

PAMM ◽  
2004 ◽  
Vol 4 (1) ◽  
pp. 506-507 ◽  
Author(s):  
Daniel Gaudlitz ◽  
Nikolaus A. Adams
Keyword(s):  
Level Set Method ◽  
Level Set ◽  
Two Phase Flow ◽  
Phase Flow ◽  
Two Phase ◽  
Hybrid Particle ◽  
Particle Level ◽  
Particle Level Set Method

The Hybrid Particle-Level-Set Method Applied to Two-Phase Flows

2006 ◽  
Author(s):  
Daniel Gaudlitz ◽  
Nikolaus A. Adams
Keyword(s):  
Surface Tension ◽  
Level Set Method ◽  
Level Set ◽  
Mass Conservation ◽  
Two Phase Flows ◽  
Two Phase ◽  
Hybrid Particle ◽  
Particle Level ◽  
Tension Term ◽  
Particle Level Set Method

The hybrid particle-level-set method was proposed by Enright et al. (2002) for improving the efficiency and accuracy of the original level-set method. In this paper, we examine the discretization of the surface-tension term and of the reinitialization procedure with respect to their effect on the mass-conservation properties of the overall method. We apply the hybrid particle-level-set method for the computation of two-phase flows and assess its performance with different parameter choices in comparison with the original level-set method.

Numerical Simulations of Shock-Bubble Interactions Using an Improved Ghost Fluid Method

2005 ◽  
Author(s):  
Hiroyuki Takahira ◽  
Shinya Yuasa
Keyword(s):  
Level Set Method ◽  
Level Set ◽  
Mass Conservation ◽  
Ghost Fluid Method ◽  
Hybrid Particle ◽  
Bubble Interactions ◽  
Level Set Function ◽  
Particle Level ◽  
Set Function ◽  
Particle Level Set Method

The present work is concerned with numerical simulations for the shock-bubble interactions using the Ghost Fluid Method (GFM) in which the interface is captured with level set methods. The GFM is applied to the interactions between an air shock wave and a cylindrical or spherical helium bubble to investigate the numerical diffusion in the reinitialization procedure of the level set function. It is shown that the interface is not captured accurately using the GFM without the reinitialization of the level set function. The numerical diffusion in the reinitialization procedure affects the formation of a re-entrant jet and vortex structures after a shock wave impacts the bubble. It is also shown that the results with the hybrid particle level set method agree with the experiments by Haas and Sturtevant. The hybrid particle level set method is superior in the mass conservation. Also, we have improved the GFM by correcting velocities, pressure and density at boundary nodes using the Riemann solutions to avoid numerical oscillations near the gas-liquid interface. We have succeeded in capturing the sharp interface for the shock-air bubble interaction in water by using the improved GFM coupling with the hybrid particle level set method. Mass conservation in the hybrid particle level set method is better than that in the standard level set method with high order discretization scheme.

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