期刊
JOURNAL OF COMPUTATIONAL PHYSICS
卷 228, 期 16, 页码 5838-5866出版社
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jcp.2009.04.042
关键词
Adaptive mesh refinement; Surface-tension; Navier-Stokes equations; Height-Function; Parasitic currents; Volume-Of-Fluid; Octree
资金
- New Zealand Foundation for Research, Science and Technology [C01X0204]
A method combining an adaptive quad/octree spatial discretisation, geometrical Volume-Of-Fluid interface representation, balanced-force continuum-surface-force surface-tension formulation and height-function curvature estimation is presented. The extension of these methods to the quad/octree discretisation allows adaptive variable resolution along the interface and is described in detail. The method is shown to recover exact equilibrium (to machine accuracy) between surface-tension and pressure gradient in the case of a stationary droplet, irrespective of viscosity and spatial resolution. Accurate solutions are obtained for the classical test case of capillary wave oscillations. An application to the capillary breakup of a jet of water in air further illustrates the accuracy and efficiency of the method. The source code of the implementation is freely available as part of the Gerris flow solver. (C) 2009 Elsevier Inc. All rights reserved.
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