A Review of Preconditioning and Artificial Compressibility Dual-Time Navier–Stokes Solvers for Multiphase Flows
This review paper aims to summarize recent advancements in time-marching schemes for solving Navier–Stokes (NS) equations in multiphase flow simulations. The focus is on dual-time stepping, local preconditioning, and artificial compressibility methods. These methods have proven to be effective in ac...
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-03-01
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| Series: | Fluids |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2311-5521/8/3/100 |
| _version_ | 1797611732027310080 |
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| author | Van-Tu Nguyen Warn-Gyu Park |
| author_facet | Van-Tu Nguyen Warn-Gyu Park |
| author_sort | Van-Tu Nguyen |
| collection | DOAJ |
| description | This review paper aims to summarize recent advancements in time-marching schemes for solving Navier–Stokes (NS) equations in multiphase flow simulations. The focus is on dual-time stepping, local preconditioning, and artificial compressibility methods. These methods have proven to be effective in achieving high time accuracy in simulations, as well as converting the incompressible NS equations into a hyperbolic form that can be solved using compact schemes, thereby accelerating the solution convergence and allowing for the simulation of compressible flows at all Mach numbers. The literature on these methods continues to grow, providing a deeper understanding of the underlying physical processes and supporting technological advancements. This paper also highlights the imposition of dual-time stepping on both incompressible and compressible NS equations. This paper provides an updated overview of advanced methods for the CFD community to continue developing methods and select the most suitable two-phase flow solver for their respective applications. |
| first_indexed | 2024-03-11T06:32:55Z |
| format | Article |
| id | doaj.art-558cfb21c66a4bebae9e5acda1f9ff2b |
| institution | Directory Open Access Journal |
| issn | 2311-5521 |
| language | English |
| last_indexed | 2024-03-11T06:32:55Z |
| publishDate | 2023-03-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Fluids |
| spelling | doaj.art-558cfb21c66a4bebae9e5acda1f9ff2b2023-11-17T11:04:53ZengMDPI AGFluids2311-55212023-03-018310010.3390/fluids8030100A Review of Preconditioning and Artificial Compressibility Dual-Time Navier–Stokes Solvers for Multiphase FlowsVan-Tu Nguyen0Warn-Gyu Park1School of Mechanical Engineering, Pusan National University, Busan 46241, Republic of KoreaSchool of Mechanical Engineering, Pusan National University, Busan 46241, Republic of KoreaThis review paper aims to summarize recent advancements in time-marching schemes for solving Navier–Stokes (NS) equations in multiphase flow simulations. The focus is on dual-time stepping, local preconditioning, and artificial compressibility methods. These methods have proven to be effective in achieving high time accuracy in simulations, as well as converting the incompressible NS equations into a hyperbolic form that can be solved using compact schemes, thereby accelerating the solution convergence and allowing for the simulation of compressible flows at all Mach numbers. The literature on these methods continues to grow, providing a deeper understanding of the underlying physical processes and supporting technological advancements. This paper also highlights the imposition of dual-time stepping on both incompressible and compressible NS equations. This paper provides an updated overview of advanced methods for the CFD community to continue developing methods and select the most suitable two-phase flow solver for their respective applications.https://www.mdpi.com/2311-5521/8/3/100Navier–Stokesmultiphase flowspreconditioningartificial compressibilitydual-time methodscurvilinear coordinates |
| spellingShingle | Van-Tu Nguyen Warn-Gyu Park A Review of Preconditioning and Artificial Compressibility Dual-Time Navier–Stokes Solvers for Multiphase Flows Fluids Navier–Stokes multiphase flows preconditioning artificial compressibility dual-time methods curvilinear coordinates |
| title | A Review of Preconditioning and Artificial Compressibility Dual-Time Navier–Stokes Solvers for Multiphase Flows |
| title_full | A Review of Preconditioning and Artificial Compressibility Dual-Time Navier–Stokes Solvers for Multiphase Flows |
| title_fullStr | A Review of Preconditioning and Artificial Compressibility Dual-Time Navier–Stokes Solvers for Multiphase Flows |
| title_full_unstemmed | A Review of Preconditioning and Artificial Compressibility Dual-Time Navier–Stokes Solvers for Multiphase Flows |
| title_short | A Review of Preconditioning and Artificial Compressibility Dual-Time Navier–Stokes Solvers for Multiphase Flows |
| title_sort | review of preconditioning and artificial compressibility dual time navier stokes solvers for multiphase flows |
| topic | Navier–Stokes multiphase flows preconditioning artificial compressibility dual-time methods curvilinear coordinates |
| url | https://www.mdpi.com/2311-5521/8/3/100 |
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