Improved three-dimensional bubble dynamics model based on boundary element method

Some new theoretical and numerical techniques are adopted in an improved 3D bubble dynamics model based on Boundary Element Method. Firstly, a numerical model under the incompressible potential assumption is established for 3D bubble dynamics, and the traditional technique for the vortex ring induce...

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Bibliographic Details
Published in:Journal of computational physics 2015-08, Vol.294, p.208-223
Main Authors: Zhang, A.M., Liu, Y.L.
Format: Article
Language:English
Subjects:
Axisymmetric
Boundary element method
Bubble dynamics
Bubbles
Computer simulation
Density
Density potential method
Finite element method
Mathematical models
Surface mesh optimization
Three dimensional models
Toroidal bubble
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Summary:Some new theoretical and numerical techniques are adopted in an improved 3D bubble dynamics model based on Boundary Element Method. Firstly, a numerical model under the incompressible potential assumption is established for 3D bubble dynamics, and the traditional technique for the vortex ring induced potential at the reference point in axisymmetric model is extended to arbitrary location in 3D model. Then, to homogenize the boundaries' mesh density, new Density Potential Method is put forward inspired by the Elastic Mesh Technique. It's combined together with the topology optimization based on edge swapping procedure to maintain a desirable mesh for the large deformation problem. Through the verification and the comparison by simulating a benchmark case, the improved model demonstrates good accuracy and stability. Particularly, more toroidal bubble evolution detailed features are captured which are in accordance with the axisymmetric model. Finally, bubble dynamics under different circumstances are simulated with the improved 3D numerical model presented in this paper, which shows that the improved model is also robust.
ISSN:0021-9991
1090-2716
DOI:10.1016/j.jcp.2015.03.049