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

A Lagrangian particle level set method

2005 ◽  
Vol 210 (1) ◽  
pp. 342-367 ◽  
Author(s):  
Simone E. Hieber ◽  
Petros Koumoutsakos
Keyword(s):  
Level Set Method ◽  
Level Set ◽  
Lagrangian Particle ◽  
Particle Level ◽  
Particle Level Set Method

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 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.

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