Author(s)

Z. Rek

Abstract

The scope of the paper is determination of velocity at the gas-liquid interface by Boundary Element Method using potential flow. Velocity on the bubble boundary has to be known in order to update the interface position. When evaluating integrals with their source point at the boundary caution must be exercised due to the hyper-singularity of the kernel. They are evaluated by moving the source point from boundary into domain. After that the integrals are evaluated analytically, and finally the source point is moved back to the boundary using a limiting process. As an example the simulation of a rising air bubble in a watter-filled pipe is given. 1 Introduction The Boundary Element Method*

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