Improved three-dimensional bubble dynamics model based on boundary element method
Improved three-dimensional bubble dynamics model based on boundary element method
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DOI：
10.1016/j.jcp.2015.03.049
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发表时间：
2015-08
期刊：
影响因子：
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通讯作者：
A. Zhang;Y. Liu
中科院分区：
文献类型：
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作者：
A. Zhang;Y. Liu
采用了一些新的理论和数值方法，改进了基于边界元法的三维气泡动力学模型。首先，在不可压缩势假设下建立了三维气泡动力学的数值模型，并将传统的轴对称模型中参考点涡环诱导势的计算方法推广到三维模型中任意位置。然后，为了均匀化边界的网格密度，受弹性网格技术的启发，提出了一种新的密度势法。该方法与基于边交换的拓扑优化方法相结合，可以有效地解决大变形问题。通过对一个基准案例的仿真验证和比较，改进后的模型具有较好的精度和稳定性。特别是，更多的环形气泡演化的详细特征被捕获，这是符合轴对称模型。最后，利用本文提出的改进的三维数值模型对不同情况下的气泡动力学进行了模拟，结果表明改进的三维数值模型同样具有较好的鲁棒性。
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.