Moving surface mesh-incorporated particle method for numerical simulation of a liquid droplet

In this study, a new particle method for simulating the dynamics of a liquid droplet in a two-dimensional space has been developed. The proposed method incorporates a moving surface mesh to represent a deformable free-surface boundary. The domain enclosed by the surface mesh is defined as a liquid v...

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Bibliographic Details
Published in:Journal of computational physics 2020-05, Vol.409, p.109349, Article 109349
Main Authors: Matsunaga, Takuya, Koshizuka, Seiichi, Hosaka, Tomoyuki, Ishii, Eiji
Format: Article
Language:English
Subjects:
Computational fluid dynamics
Computational physics
Computer graphics
Computer simulation
Deformation
Differential equations
Domains
Droplet dynamics
Droplets
Finite element method
Fluid flow
Formability
Free surfaces
Hydrostatic pressure
Incompressible flow
Least squares MPS method
Meshfree particle method
Moving surface mesh
Operators (mathematics)
Patch tests
Surface tension
Vapor phases
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Summary:In this study, a new particle method for simulating the dynamics of a liquid droplet in a two-dimensional space has been developed. The proposed method incorporates a moving surface mesh to represent a deformable free-surface boundary. The domain enclosed by the surface mesh is defined as a liquid volume (droplet), and the outer region is a gas phase with constant pressure. Fluid particles are seeded inside the liquid domain, and also, discrete nodes along the surface mesh are defined as additional computational points. The incompressible flow is solved based on the LSMPS (least squares moving particle semi-implicit) method, where all differential operators are discretized by means of consistent schemes. The stress balance equations are solved along free surfaces, where the surface tension force is directly evaluated by the geometry of the surface mesh at each surface node. As numerical tests, various problems including a hydrostatic pressure problem, circular and square patch tests, droplet oscillations and static droplets suspended by solid walls have been simulated. As a result, the proposed method shows excellent agreement with the reference solutions, even under large free-surface deformations, which verifies the validity of the current developments.
ISSN:0021-9991
1090-2716
DOI:10.1016/j.jcp.2020.109349