Finite Difference Lattice Boltzmann Method for Incompressible Navier-Stokes Equation Using Acceleration Modification
An improved finite difference lattice Boltzmann method (FDLBM) is developed to simulate incompressible flows. The basic idea is to decrease the density fluctuation which might lead to compressible error in the flows with high pressure gradient or high speed motion. The equation of state is modified...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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The Japan Society of Mechanical Engineers
2007-01-01
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| Series: | Journal of Fluid Science and Technology |
| Subjects: | |
| Online Access: | https://www.jstage.jst.go.jp/article/jfst/2/1/2_1_35/_pdf/-char/en |
| _version_ | 1819364536894881792 |
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| author | Long WU Michihisa TSUTAHARA Shinsuke TAJIRI |
| author_facet | Long WU Michihisa TSUTAHARA Shinsuke TAJIRI |
| author_sort | Long WU |
| collection | DOAJ |
| description | An improved finite difference lattice Boltzmann method (FDLBM) is developed to simulate incompressible flows. The basic idea is to decrease the density fluctuation which might lead to compressible error in the flows with high pressure gradient or high speed motion. The equation of state is modified by including the attractive and repulsive forces between particles to adjust the compressibility of fluid. This effect is incorporated by applying acceleration modification which is deduced based on macroscopic dynamics. Using this method the sound speed of the fluid can be also controlled easily. Numerical simulations of steady Poiseuille flow and unsteady Womersley flow were adopted to validate our model. The results show that the proposed model is much more efficient than the conventional LBGK method when solving the incompressible flows with high pressure gradient. |
| first_indexed | 2024-12-24T23:00:30Z |
| format | Article |
| id | doaj.art-80d3f55c4a674ed4be77aa2b00610e85 |
| institution | Directory Open Access Journal |
| issn | 1880-5558 |
| language | English |
| last_indexed | 2024-12-24T23:00:30Z |
| publishDate | 2007-01-01 |
| publisher | The Japan Society of Mechanical Engineers |
| record_format | Article |
| series | Journal of Fluid Science and Technology |
| spelling | doaj.art-80d3f55c4a674ed4be77aa2b00610e852022-12-21T16:35:09ZengThe Japan Society of Mechanical EngineersJournal of Fluid Science and Technology1880-55582007-01-0121354410.1299/jfst.2.35jfstFinite Difference Lattice Boltzmann Method for Incompressible Navier-Stokes Equation Using Acceleration ModificationLong WU0Michihisa TSUTAHARA1Shinsuke TAJIRI2Graduate School of Science and Technology, Kobe UniversityGraduate School of Science and Technology, Kobe UniversityGraduate School of Science and Technology, Kobe UniversityAn improved finite difference lattice Boltzmann method (FDLBM) is developed to simulate incompressible flows. The basic idea is to decrease the density fluctuation which might lead to compressible error in the flows with high pressure gradient or high speed motion. The equation of state is modified by including the attractive and repulsive forces between particles to adjust the compressibility of fluid. This effect is incorporated by applying acceleration modification which is deduced based on macroscopic dynamics. Using this method the sound speed of the fluid can be also controlled easily. Numerical simulations of steady Poiseuille flow and unsteady Womersley flow were adopted to validate our model. The results show that the proposed model is much more efficient than the conventional LBGK method when solving the incompressible flows with high pressure gradient.https://www.jstage.jst.go.jp/article/jfst/2/1/2_1_35/_pdf/-char/enfinite difference lattice boltzmann methodincompressible flowspoiseuille flowwomersley flowacceleration modification |
| spellingShingle | Long WU Michihisa TSUTAHARA Shinsuke TAJIRI Finite Difference Lattice Boltzmann Method for Incompressible Navier-Stokes Equation Using Acceleration Modification Journal of Fluid Science and Technology finite difference lattice boltzmann method incompressible flows poiseuille flow womersley flow acceleration modification |
| title | Finite Difference Lattice Boltzmann Method for Incompressible Navier-Stokes Equation Using Acceleration Modification |
| title_full | Finite Difference Lattice Boltzmann Method for Incompressible Navier-Stokes Equation Using Acceleration Modification |
| title_fullStr | Finite Difference Lattice Boltzmann Method for Incompressible Navier-Stokes Equation Using Acceleration Modification |
| title_full_unstemmed | Finite Difference Lattice Boltzmann Method for Incompressible Navier-Stokes Equation Using Acceleration Modification |
| title_short | Finite Difference Lattice Boltzmann Method for Incompressible Navier-Stokes Equation Using Acceleration Modification |
| title_sort | finite difference lattice boltzmann method for incompressible navier stokes equation using acceleration modification |
| topic | finite difference lattice boltzmann method incompressible flows poiseuille flow womersley flow acceleration modification |
| url | https://www.jstage.jst.go.jp/article/jfst/2/1/2_1_35/_pdf/-char/en |
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