This paper introduces a second kind boundary integral equation which can be used to model the motion of a single gas or vapour bubble in a liquid. In the special case of a sphere, the eigenvalues of the underlying integral operator are used to show that the new second kind formulation has much more desirable spectral properties than the more usual first kind integral equation formulation which has often been used in practice. Further, the numerical results presented in this paper show that the new scheme yields reasonably accurate results even with a coarse mesh.
|Number of pages||8|
|Journal||Engineering Analysis with Boundary Elements|
|Publication status||Published - Jun 2003|
- Boundary integral method
- Numerical methods
- Fluid mechanics