Abstract
We present a new surface tension force formulation for a diffuse-interface model, which is derived for incompressible, immiscible Navier-Stokes equations separated by free interfaces. The classical infinitely thin boundary of separation between the two immiscible fluids is replaced by a transition region of small but finite width, across which the composition of the one of two fluids changes continuously. Various versions of diffuse-interface methods have been used successfully for the numerical simulations of two phase fluid flows. These methods are robust, efficient, and capable of computing interface singularities such as merging and pinching off. But prior studies used modified surface tension force formulations, therefore it is not straightforward to calculate pressure field because pressure includes the gradient terms resulting from the modified surface tension term. The new formulation allows us to calculate the pressure field directly from the governing equations. Computational results showing the accuracy and effectiveness of the method are given for a drop deformation and Rayleigh capillary instability.
| Original language | English |
|---|---|
| Pages (from-to) | 784-804 |
| Number of pages | 21 |
| Journal | Journal of Computational Physics |
| Volume | 204 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - 2005 Apr 10 |
| Externally published | Yes |
Fingerprint
Keywords
- Continuum surface tension
- Diffuse-interface
- Phase field
ASJC Scopus subject areas
- Computer Science Applications
- Physics and Astronomy(all)
Cite this
A continuous surface tension force formulation for diffuse-interface models. / Kim, Junseok.
In: Journal of Computational Physics, Vol. 204, No. 2, 10.04.2005, p. 784-804.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - A continuous surface tension force formulation for diffuse-interface models
AU - Kim, Junseok
PY - 2005/4/10
Y1 - 2005/4/10
N2 - We present a new surface tension force formulation for a diffuse-interface model, which is derived for incompressible, immiscible Navier-Stokes equations separated by free interfaces. The classical infinitely thin boundary of separation between the two immiscible fluids is replaced by a transition region of small but finite width, across which the composition of the one of two fluids changes continuously. Various versions of diffuse-interface methods have been used successfully for the numerical simulations of two phase fluid flows. These methods are robust, efficient, and capable of computing interface singularities such as merging and pinching off. But prior studies used modified surface tension force formulations, therefore it is not straightforward to calculate pressure field because pressure includes the gradient terms resulting from the modified surface tension term. The new formulation allows us to calculate the pressure field directly from the governing equations. Computational results showing the accuracy and effectiveness of the method are given for a drop deformation and Rayleigh capillary instability.
AB - We present a new surface tension force formulation for a diffuse-interface model, which is derived for incompressible, immiscible Navier-Stokes equations separated by free interfaces. The classical infinitely thin boundary of separation between the two immiscible fluids is replaced by a transition region of small but finite width, across which the composition of the one of two fluids changes continuously. Various versions of diffuse-interface methods have been used successfully for the numerical simulations of two phase fluid flows. These methods are robust, efficient, and capable of computing interface singularities such as merging and pinching off. But prior studies used modified surface tension force formulations, therefore it is not straightforward to calculate pressure field because pressure includes the gradient terms resulting from the modified surface tension term. The new formulation allows us to calculate the pressure field directly from the governing equations. Computational results showing the accuracy and effectiveness of the method are given for a drop deformation and Rayleigh capillary instability.
KW - Continuum surface tension
KW - Diffuse-interface
KW - Phase field
UR - http://www.scopus.com/inward/record.url?scp=15944426108&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=15944426108&partnerID=8YFLogxK
U2 - 10.1016/j.jcp.2004.10.032
DO - 10.1016/j.jcp.2004.10.032
M3 - Article
VL - 204
SP - 784
EP - 804
JO - Journal of Computational Physics
JF - Journal of Computational Physics
SN - 0021-9991
IS - 2
ER -