A Numerical Scheme Based on an Immersed Boundary Method for Compressible Turbulent Flows with Shocks: Application to Two-Dimensional Flows around Cylinders
A computational code adopting immersed boundary methods for compressible gas-particle multiphase turbulent flows is developed and validated through two-dimensional numerical experiments. The turbulent flow region is modeled by a second-order pseudo skew-symmetric form with minimum dissipation, while...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
|
| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/252478 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832566422398566400 |
|---|---|
| author | Shun Takahashi Taku Nonomura Kota Fukuda |
| author_facet | Shun Takahashi Taku Nonomura Kota Fukuda |
| author_sort | Shun Takahashi |
| collection | DOAJ |
| description | A computational code adopting immersed boundary methods for compressible gas-particle multiphase turbulent flows is developed and validated through two-dimensional numerical experiments. The turbulent flow region is modeled by a second-order pseudo skew-symmetric form with minimum dissipation, while the monotone upstream-centered scheme for conservation laws (MUSCL) scheme is employed in the shock region. The present scheme is applied to the flow around a two-dimensional cylinder under various freestream Mach numbers. Compared with the original MUSCL scheme, the minimum dissipation enabled by the pseudo skew-symmetric form significantly improves the resolution of the vortex generated in the wake while retaining the shock capturing ability. In addition, the resulting aerodynamic force is significantly improved. Also, the present scheme is successfully applied to moving two-cylinder problems. |
| format | Article |
| id | doaj-art-982780836ef84d9987ae5efd9bdac556 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-982780836ef84d9987ae5efd9bdac5562025-02-03T01:04:15ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/252478252478A Numerical Scheme Based on an Immersed Boundary Method for Compressible Turbulent Flows with Shocks: Application to Two-Dimensional Flows around CylindersShun Takahashi0Taku Nonomura1Kota Fukuda2Department of Prime Mover Engineering, Tokai University, Hiratsuka, Kanagawa 259-1292, JapanDepartment of Space Flight Systems, Institute of Space and Astronautical Science, Japan Aerospace Exploration Agency, Sagamihara, Kanagawa 252-5210, JapanDepartment of Aeronautics and Astronautics, Tokai University, Hiratsuka, Kanagawa 259-1292, JapanA computational code adopting immersed boundary methods for compressible gas-particle multiphase turbulent flows is developed and validated through two-dimensional numerical experiments. The turbulent flow region is modeled by a second-order pseudo skew-symmetric form with minimum dissipation, while the monotone upstream-centered scheme for conservation laws (MUSCL) scheme is employed in the shock region. The present scheme is applied to the flow around a two-dimensional cylinder under various freestream Mach numbers. Compared with the original MUSCL scheme, the minimum dissipation enabled by the pseudo skew-symmetric form significantly improves the resolution of the vortex generated in the wake while retaining the shock capturing ability. In addition, the resulting aerodynamic force is significantly improved. Also, the present scheme is successfully applied to moving two-cylinder problems.http://dx.doi.org/10.1155/2014/252478 |
| spellingShingle | Shun Takahashi Taku Nonomura Kota Fukuda A Numerical Scheme Based on an Immersed Boundary Method for Compressible Turbulent Flows with Shocks: Application to Two-Dimensional Flows around Cylinders Journal of Applied Mathematics |
| title | A Numerical Scheme Based on an Immersed Boundary Method for Compressible Turbulent Flows with Shocks: Application to Two-Dimensional Flows around Cylinders |
| title_full | A Numerical Scheme Based on an Immersed Boundary Method for Compressible Turbulent Flows with Shocks: Application to Two-Dimensional Flows around Cylinders |
| title_fullStr | A Numerical Scheme Based on an Immersed Boundary Method for Compressible Turbulent Flows with Shocks: Application to Two-Dimensional Flows around Cylinders |
| title_full_unstemmed | A Numerical Scheme Based on an Immersed Boundary Method for Compressible Turbulent Flows with Shocks: Application to Two-Dimensional Flows around Cylinders |
| title_short | A Numerical Scheme Based on an Immersed Boundary Method for Compressible Turbulent Flows with Shocks: Application to Two-Dimensional Flows around Cylinders |
| title_sort | numerical scheme based on an immersed boundary method for compressible turbulent flows with shocks application to two dimensional flows around cylinders |
| url | http://dx.doi.org/10.1155/2014/252478 |
| work_keys_str_mv | AT shuntakahashi anumericalschemebasedonanimmersedboundarymethodforcompressibleturbulentflowswithshocksapplicationtotwodimensionalflowsaroundcylinders AT takunonomura anumericalschemebasedonanimmersedboundarymethodforcompressibleturbulentflowswithshocksapplicationtotwodimensionalflowsaroundcylinders AT kotafukuda anumericalschemebasedonanimmersedboundarymethodforcompressibleturbulentflowswithshocksapplicationtotwodimensionalflowsaroundcylinders AT shuntakahashi numericalschemebasedonanimmersedboundarymethodforcompressibleturbulentflowswithshocksapplicationtotwodimensionalflowsaroundcylinders AT takunonomura numericalschemebasedonanimmersedboundarymethodforcompressibleturbulentflowswithshocksapplicationtotwodimensionalflowsaroundcylinders AT kotafukuda numericalschemebasedonanimmersedboundarymethodforcompressibleturbulentflowswithshocksapplicationtotwodimensionalflowsaroundcylinders |