Consistent mass and momentum transport for simulating incompressible interfacial flows with large density ratios using the level set method

2012 ◽  
Vol 63 ◽  
pp. 70-81 ◽  
Author(s):  
Mehdi Raessi ◽  
Heinz Pitsch
Keyword(s):  
Level Set Method ◽  
Level Set ◽  
Momentum Transport ◽  
Interfacial Flows ◽  
Large Density ◽  
Density Ratios

Efficient two-phase mass-conserving level set method for simulation of incompressible turbulent free surface flows with large density ratio

2016 ◽  
Vol 136 ◽  
pp. 212-227 ◽  
Author(s):  
J.M. Cubos-Ramírez ◽  
J. Ramírez-Cruz ◽  
M. Salinas-Vázquez ◽  
W. Vicente-Rodríguez ◽  
E. Martinez-Espinosa ◽  
...  
Keyword(s):  
Free Surface ◽  
Level Set Method ◽  
Level Set ◽  
Density Ratio ◽  
Free Surface Flows ◽  
Two Phase ◽  
Surface Flows ◽  
Large Density ◽  
Large Density Ratio

Numerical study of incompressible interfacial flows by an one-step level set method

2020 ◽  
Vol 78 (11) ◽  
pp. 636-655
Author(s):  
RuiDong An ◽  
ChingHao Yu ◽  
Yan-Ting Lin ◽  
Pao-Hsiung Chiu
Keyword(s):  
Level Set Method ◽  
Level Set ◽  
Numerical Study ◽  
Interfacial Flows ◽  
One Step

scholarly journals A level-set method for interfacial flows with surfactant

2006 ◽  
Vol 212 (2) ◽  
pp. 590-616 ◽  
Author(s):  
Jian-Jun Xu ◽  
Zhilin Li ◽  
John Lowengrub ◽  
Hongkai Zhao
Keyword(s):  
Level Set Method ◽  
Level Set ◽  
Interfacial Flows

A Coupled Immersed Interface and Level Set Method for Three-Dimensional Interfacial Flows with Insoluble Surfactant

2014 ◽  
Vol 15 (2) ◽  
pp. 451-469 ◽  
Author(s):  
Jian-Jun Xu ◽  
Yunqing Huang ◽  
Ming-Chih Lai ◽  
Zhilin Li
Keyword(s):  
Level Set Method ◽  
Level Set ◽  
Stokes Equations ◽  
Small Neighborhood ◽  
Physical Parameters ◽  
Interfacial Flows ◽  
Immersed Interface Method ◽  
Immersed Interface ◽  
Poisson Solver ◽  
Insoluble Surfactant

AbstractIn this paper, a numerical method is presented for simulating the 3D interfacial flows with insoluble surfactant. The numerical scheme consists of a 3D immersed interface method (IIM) for solving Stokes equations with jumps across the interface and a 3D level-set method for solving the surfactant convection-diffusion equation along a moving and deforming interface. The 3D IIM Poisson solver modifies the one in the literature by assuming that the jump conditions of the solution and the flux are implicitly given at the grid points in a small neighborhood of the interface. This assumption is convenient in conjunction with the level-set techniques. It allows standard Lagrangian interpolation for quantities at the projection points on the interface. The interface jump relations are re-derived accordingly. A novel rotational procedure is given to generate smooth local coordinate systems and make effective interpolation. Numerical examples demonstrate that the IIM Poisson solver and the Stokes solver achieve second-order accuracy. A 3D drop with insoluble surfactant under shear flow is investigated numerically by studying the influences of different physical parameters on the drop deformation.

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