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Modeling and computation of the shape of a compressed axisymmetric gas bubble
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A. Caboussat
Published/Copyright:
June 25, 2008
Abstract
A mathematical model for the accurate computation of the shape of a three-dimensional axisymmetric gas bubble compressed between two horizontal plates is presented. An explicit form of the interface is given by the equation of minimal surfaces, based on an approximation of slow displacements. Conservation of the volume is guaranteed by the introduction of a multiplier. Contact angles are taken into account. The shape of the bubble is numerically solved with a quasi-Newton method that presents fast convergence properties. Numerical results are presented for various compression rates and contact angles.
Received: 2007-10-22
Published Online: 2008-06-25
Published in Print: 2008-June
© de Gruyter 2008
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- Nonoverlapping domain decomposition with cross points for orthogonal spline collocation
- Modeling and computation of the shape of a compressed axisymmetric gas bubble
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Keywords for this article
gas bubble;
slow compression;
minimal surfaces;
contact angles;
quasi-Newton methods
Articles in the same Issue
- Nonoverlapping domain decomposition with cross points for orthogonal spline collocation
- Modeling and computation of the shape of a compressed axisymmetric gas bubble
- Numerical method for elliptic multiscale problems
- Simultaneous pseudo-time stepping for 3D aerodynamic shape optimization
