Lattice Boltzmann framework for multiphase flows by Eulerian-Eulerian Navier-Stokes equations
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
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2024
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| _version_ | 1866910091693785088 |
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| author | Piredda, Matteo Maria Asinari, Pietro |
| author_facet | Piredda, Matteo Maria Asinari, Pietro |
| contents | Although Lattice Boltzmann Method (LBM) is relatively straightforward, it demands a well-crafted framework to handle the complex partial differential equations involved in multiphase flow simulations. For the first time to our knowledge, this work proposes a novel LBM framework to solve Eulerian-Eulerian multiphase flow equations, without any finite difference correction, including very large density ratios and also a realistic relation for the drag coefficient. The proposed methodology and all reported LBM formulas can be applied to any dimension. This opens a promising venue for simulating multiphase flows on large High Performance Computing (HPC) facilities and on novel parallel hardware. This LBM framework consists of six coupled LBM schemes - running on the same lattice - ensuring an efficient implementation in large codes with minimum effort. The preliminary numeral results agree in an excellent way with the a reference numerical solution obtained by a traditional finite difference solver. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_10399 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Lattice Boltzmann framework for multiphase flows by Eulerian-Eulerian Navier-Stokes equations Piredda, Matteo Maria Asinari, Pietro Numerical Analysis Fluid Dynamics Although Lattice Boltzmann Method (LBM) is relatively straightforward, it demands a well-crafted framework to handle the complex partial differential equations involved in multiphase flow simulations. For the first time to our knowledge, this work proposes a novel LBM framework to solve Eulerian-Eulerian multiphase flow equations, without any finite difference correction, including very large density ratios and also a realistic relation for the drag coefficient. The proposed methodology and all reported LBM formulas can be applied to any dimension. This opens a promising venue for simulating multiphase flows on large High Performance Computing (HPC) facilities and on novel parallel hardware. This LBM framework consists of six coupled LBM schemes - running on the same lattice - ensuring an efficient implementation in large codes with minimum effort. The preliminary numeral results agree in an excellent way with the a reference numerical solution obtained by a traditional finite difference solver. |
| title | Lattice Boltzmann framework for multiphase flows by Eulerian-Eulerian Navier-Stokes equations |
| topic | Numerical Analysis Fluid Dynamics |
| url | https://arxiv.org/abs/2409.10399 |