A Pressure-Based Fully-Coupled Flow Algorithm for the Control Volume Finite Element Method
A pressure-based fully-coupled flow algorithm is developed for the control volume finite element method (CVFEM), which covers speeds up to the transonic regime. The CVFEM is used because it presents a number of advantages as compared to the popular cell-centered finite volume method (CCFVM), while r...
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-05-01
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| Series: | Applied Sciences |
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| Online Access: | https://www.mdpi.com/2076-3417/12/9/4633 |
| _version_ | 1797505546578821120 |
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| author | Luca Mangani Mhamad Mahdi Alloush Raphael Lindegger Lucian Hanimann Marwan Darwish |
| author_facet | Luca Mangani Mhamad Mahdi Alloush Raphael Lindegger Lucian Hanimann Marwan Darwish |
| author_sort | Luca Mangani |
| collection | DOAJ |
| description | A pressure-based fully-coupled flow algorithm is developed for the control volume finite element method (CVFEM), which covers speeds up to the transonic regime. The CVFEM is used because it presents a number of advantages as compared to the popular cell-centered finite volume method (CCFVM), while retaining the properties of the finite volume method (FVM) in terms of flux conservation and numerical integration simplicity. The implementation presents a novel weak formulation of Dirichlet boundary conditions to resolve the disadvantages emerging from the strong formulation, by mimicking the methods followed in the CCFVM. Derivation and implementation details are presented, and a number of test cases are used to evaluate the accuracy and performance of this approach. |
| first_indexed | 2024-03-10T04:20:08Z |
| format | Article |
| id | doaj.art-90914096706f40cea4623406a59f6582 |
| institution | Directory Open Access Journal |
| issn | 2076-3417 |
| language | English |
| last_indexed | 2024-03-10T04:20:08Z |
| publishDate | 2022-05-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Applied Sciences |
| spelling | doaj.art-90914096706f40cea4623406a59f65822023-11-23T07:51:49ZengMDPI AGApplied Sciences2076-34172022-05-01129463310.3390/app12094633A Pressure-Based Fully-Coupled Flow Algorithm for the Control Volume Finite Element MethodLuca Mangani0Mhamad Mahdi Alloush1Raphael Lindegger2Lucian Hanimann3Marwan Darwish4Competence Center Fluid Mechanics and Numerical Methods, Lucerne School of Engineering and Architecture, Lucerne University of Applied Sciences and Arts, Technikumstrasse 21, CH-6048 Lucerne, SwitzerlandCompetence Center Fluid Mechanics and Numerical Methods, Lucerne School of Engineering and Architecture, Lucerne University of Applied Sciences and Arts, Technikumstrasse 21, CH-6048 Lucerne, SwitzerlandCompetence Center Fluid Mechanics and Numerical Methods, Lucerne School of Engineering and Architecture, Lucerne University of Applied Sciences and Arts, Technikumstrasse 21, CH-6048 Lucerne, SwitzerlandCompetence Center Fluid Mechanics and Numerical Methods, Lucerne School of Engineering and Architecture, Lucerne University of Applied Sciences and Arts, Technikumstrasse 21, CH-6048 Lucerne, SwitzerlandDepartment of Mechanical Engineering, Maroun Semaan Faculty of Engineering and Architecture, American University of Beirut, Riad El-Solh, Beirut 1107 2020, LebanonA pressure-based fully-coupled flow algorithm is developed for the control volume finite element method (CVFEM), which covers speeds up to the transonic regime. The CVFEM is used because it presents a number of advantages as compared to the popular cell-centered finite volume method (CCFVM), while retaining the properties of the finite volume method (FVM) in terms of flux conservation and numerical integration simplicity. The implementation presents a novel weak formulation of Dirichlet boundary conditions to resolve the disadvantages emerging from the strong formulation, by mimicking the methods followed in the CCFVM. Derivation and implementation details are presented, and a number of test cases are used to evaluate the accuracy and performance of this approach.https://www.mdpi.com/2076-3417/12/9/4633CFDCVFEMcoupled algorithm |
| spellingShingle | Luca Mangani Mhamad Mahdi Alloush Raphael Lindegger Lucian Hanimann Marwan Darwish A Pressure-Based Fully-Coupled Flow Algorithm for the Control Volume Finite Element Method Applied Sciences CFD CVFEM coupled algorithm |
| title | A Pressure-Based Fully-Coupled Flow Algorithm for the Control Volume Finite Element Method |
| title_full | A Pressure-Based Fully-Coupled Flow Algorithm for the Control Volume Finite Element Method |
| title_fullStr | A Pressure-Based Fully-Coupled Flow Algorithm for the Control Volume Finite Element Method |
| title_full_unstemmed | A Pressure-Based Fully-Coupled Flow Algorithm for the Control Volume Finite Element Method |
| title_short | A Pressure-Based Fully-Coupled Flow Algorithm for the Control Volume Finite Element Method |
| title_sort | pressure based fully coupled flow algorithm for the control volume finite element method |
| topic | CFD CVFEM coupled algorithm |
| url | https://www.mdpi.com/2076-3417/12/9/4633 |
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