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An adaptive variational procedure for a two-phase model with variable density and viscosity
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| Zeitschriftentitel: | Journal of Physics: Conference Series |
|---|---|
| Personen und Körperschaften: | |
| In: | Journal of Physics: Conference Series, 1064, 2018, 1, S. 012075 |
| Format: | E-Article |
| Sprache: | Unbestimmt |
| veröffentlicht: |
IOP Publishing
|
| Schlagwörter: |
| author_facet |
Yang, Min Yang, Min |
|---|---|
| author |
Yang, Min |
| spellingShingle |
Yang, Min Journal of Physics: Conference Series An adaptive variational procedure for a two-phase model with variable density and viscosity General Physics and Astronomy |
| author_sort |
yang, min |
| spelling |
Yang, Min 1742-6588 1742-6596 IOP Publishing General Physics and Astronomy http://dx.doi.org/10.1088/1742-6596/1064/1/012075 <jats:title>Abstract</jats:title> <jats:p>In this paper we present an adaptive variational procedure to solve a two-phase field model with variable density, viscosity. The model is a couple system that consists of incompressible Navier-Stokes equations and Allen-Cahn equation. In the scheme the projection method based on pressure is used to deal with the Navier-Stokes equations and stabilization approach is used for the Allen-Cahn equation. By some subtle explicit-implicit treatments, the proposed scheme is energy stable. In particular the adaptive refinement/coarsening is carried out by evaluating the residual error indicators on the error estimates of the Allen-Cahn equation. Some numerical examples are performed to show the accuracy and efficiency.</jats:p> An adaptive variational procedure for a two-phase model with variable density and viscosity Journal of Physics: Conference Series |
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Journal of Physics: Conference Series |
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| title |
An adaptive variational procedure for a two-phase model with variable density and viscosity |
| title_unstemmed |
An adaptive variational procedure for a two-phase model with variable density and viscosity |
| title_full |
An adaptive variational procedure for a two-phase model with variable density and viscosity |
| title_fullStr |
An adaptive variational procedure for a two-phase model with variable density and viscosity |
| title_full_unstemmed |
An adaptive variational procedure for a two-phase model with variable density and viscosity |
| title_short |
An adaptive variational procedure for a two-phase model with variable density and viscosity |
| title_sort |
an adaptive variational procedure for a two-phase model with variable density and viscosity |
| topic |
General Physics and Astronomy |
| url |
http://dx.doi.org/10.1088/1742-6596/1064/1/012075 |
| publishDate |
2018 |
| physical |
012075 |
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<jats:title>Abstract</jats:title>
<jats:p>In this paper we present an adaptive variational procedure to solve a two-phase field model with variable density, viscosity. The model is a couple system that consists of incompressible Navier-Stokes equations and Allen-Cahn equation. In the scheme the projection method based on pressure is used to deal with the Navier-Stokes equations and stabilization approach is used for the Allen-Cahn equation. By some subtle explicit-implicit treatments, the proposed scheme is energy stable. In particular the adaptive refinement/coarsening is carried out by evaluating the residual error indicators on the error estimates of the Allen-Cahn equation. Some numerical examples are performed to show the accuracy and efficiency.</jats:p> |
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| description | <jats:title>Abstract</jats:title> <jats:p>In this paper we present an adaptive variational procedure to solve a two-phase field model with variable density, viscosity. The model is a couple system that consists of incompressible Navier-Stokes equations and Allen-Cahn equation. In the scheme the projection method based on pressure is used to deal with the Navier-Stokes equations and stabilization approach is used for the Allen-Cahn equation. By some subtle explicit-implicit treatments, the proposed scheme is energy stable. In particular the adaptive refinement/coarsening is carried out by evaluating the residual error indicators on the error estimates of the Allen-Cahn equation. Some numerical examples are performed to show the accuracy and efficiency.</jats:p> |
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| imprint_str_mv | IOP Publishing, 2018 |
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| spelling | Yang, Min 1742-6588 1742-6596 IOP Publishing General Physics and Astronomy http://dx.doi.org/10.1088/1742-6596/1064/1/012075 <jats:title>Abstract</jats:title> <jats:p>In this paper we present an adaptive variational procedure to solve a two-phase field model with variable density, viscosity. The model is a couple system that consists of incompressible Navier-Stokes equations and Allen-Cahn equation. In the scheme the projection method based on pressure is used to deal with the Navier-Stokes equations and stabilization approach is used for the Allen-Cahn equation. By some subtle explicit-implicit treatments, the proposed scheme is energy stable. In particular the adaptive refinement/coarsening is carried out by evaluating the residual error indicators on the error estimates of the Allen-Cahn equation. Some numerical examples are performed to show the accuracy and efficiency.</jats:p> An adaptive variational procedure for a two-phase model with variable density and viscosity Journal of Physics: Conference Series |
| spellingShingle | Yang, Min, Journal of Physics: Conference Series, An adaptive variational procedure for a two-phase model with variable density and viscosity, General Physics and Astronomy |
| title | An adaptive variational procedure for a two-phase model with variable density and viscosity |
| title_full | An adaptive variational procedure for a two-phase model with variable density and viscosity |
| title_fullStr | An adaptive variational procedure for a two-phase model with variable density and viscosity |
| title_full_unstemmed | An adaptive variational procedure for a two-phase model with variable density and viscosity |
| title_short | An adaptive variational procedure for a two-phase model with variable density and viscosity |
| title_sort | an adaptive variational procedure for a two-phase model with variable density and viscosity |
| title_unstemmed | An adaptive variational procedure for a two-phase model with variable density and viscosity |
| topic | General Physics and Astronomy |
| url | http://dx.doi.org/10.1088/1742-6596/1064/1/012075 |