Simulations Of Pressure Pulse-bubble Interaction Using The Boundary Element Method

The Boundary Element Method (BEM) is used to simulate the interaction of a bubble with a pressure pulse which resembles a shock wave. The main advantage of this model lies in its enormous speed-up in calculation as compared with other existing methods. The pulse in question is in the form of a step-...

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Bibliographic Details
Published in:WIT Transactions on Engineering Sciences 2005-01, Vol.50
Main Authors: Hung, K C, Fong, S W, Klaseboer, E, Turangan, C K, Khoo, B C, Liu, T G
Format: Article
Language:English
Subjects:
ALE (numerical method)
Boundary element method
Bubbles
Collapse
Compressibility effects
Computer simulation
Dynamic response
Mathematical analysis
Shock waves
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Summary:The Boundary Element Method (BEM) is used to simulate the interaction of a bubble with a pressure pulse which resembles a shock wave. The main advantage of this model lies in its enormous speed-up in calculation as compared with other existing methods. The pulse in question is in the form of a step-pulse function with variable width and is incorporated into the Bernoulli equation. Its interaction with a bubble induces the formation of a high-speed jet that accelerates in the pulse direction. Since the dynamic response of the bubble is assumed to be mainly inertia-controlled, the compressibility effect of the surrounding water is neglected. The validation of this methodology comes from the reasonable agreement of the results with those from other established numerical simulations; namely, the Arbitrary Lagrangian Eulerian (ALE) method, the Free Lagrange Method (FLM), and experiments. Detailed comparisons in terms of bubble-shape transformation, collapse times, and jet velocities are discussed.
ISSN:1746-4471
1743-3533
DOI:10.2495/MPF050091