An implicit DG solver for incompressible two‐phase flows with an artificial compressibility formulation
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Wiley Open Access
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| Natura: | Artículo Open Access |
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Wiley
2024
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| _version_ | 1867016272375447552 |
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| author | Giuseppe Orlando |
| author_facet | Giuseppe Orlando Giuseppe Orlando |
| collection | Wiley Open Access |
| contents | An implicit DG solver for incompressible two‐phase flows with an artificial compressibility formulation Giuseppe Orlando International Journal for Numerical Methods in Fluids SummaryWe propose an implicit discontinuous Galerkin (DG) discretization for incompressible two‐phase flows using an artificial compressibility formulation. The conservative level set (CLS) method is employed in combination with a reinitialization procedure to capture the moving interface. A projection method based on the L‐stable TR‐BDF2 method is adopted for the time discretization of the Navier‐Stokes equations and of the level set method. Adaptive mesh refinement (AMR) is employed to enhance the resolution in correspondence of the interface between the two fluids. The effectiveness of the proposed approach is shown in a number of classical benchmarks. A specific analysis on the influence of different choices of the mixture viscosity is also carried out. 10.1002/fld.5328 http://onlinelibrary.wiley.com/termsAndConditions#vor |
| doi_str_mv | 10.1002/fld.5328 |
| format | Artículo Open Access |
| id | wiley_oa_10_1002_fld_5328 |
| institution | Wiley Open Access |
| license_str_mv | http://onlinelibrary.wiley.com/termsAndConditions#vor |
| publishDate | 2024 |
| publisher | Wiley |
| record_format | wiley_oa |
| spellingShingle | An implicit DG solver for incompressible two‐phase flows with an artificial compressibility formulation Giuseppe Orlando International Journal for Numerical Methods in Fluids An implicit DG solver for incompressible two‐phase flows with an artificial compressibility formulation Giuseppe Orlando International Journal for Numerical Methods in Fluids SummaryWe propose an implicit discontinuous Galerkin (DG) discretization for incompressible two‐phase flows using an artificial compressibility formulation. The conservative level set (CLS) method is employed in combination with a reinitialization procedure to capture the moving interface. A projection method based on the L‐stable TR‐BDF2 method is adopted for the time discretization of the Navier‐Stokes equations and of the level set method. Adaptive mesh refinement (AMR) is employed to enhance the resolution in correspondence of the interface between the two fluids. The effectiveness of the proposed approach is shown in a number of classical benchmarks. A specific analysis on the influence of different choices of the mixture viscosity is also carried out. 10.1002/fld.5328 http://onlinelibrary.wiley.com/termsAndConditions#vor |
| title | An implicit DG solver for incompressible two‐phase flows with an artificial compressibility formulation |
| topic | International Journal for Numerical Methods in Fluids |
| url | https://onlinelibrary.wiley.com/doi/10.1002/fld.5328 |