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| Hauptverfasser: | , , , , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| Schlagworte: | |
| Online-Zugang: | https://arxiv.org/abs/2512.05781 |
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| _version_ | 1866918278596657152 |
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| author | Jennings, David Korzekwa, Kamil Lostaglio, Matteo Mannix, Paul Ashworth, Richard Marsili, Emanuele Rolston, Stephen |
| author_facet | Jennings, David Korzekwa, Kamil Lostaglio, Matteo Mannix, Paul Ashworth, Richard Marsili, Emanuele Rolston, Stephen |
| contents | Quantum algorithms have been identified as a potential means to accelerate computational fluid dynamics (CFD) simulations, with the lattice Boltzmann method (LBM) being a promising candidate for realizing quantum speedups. Here, we extend the recent quantum algorithm for the incompressible LBM to account for realistic fluid dynamics setups by incorporating walls, inlets, outlets, and external forcing. We analyze the associated complexity cost and show that these modifications preserve the asymptotic scaling, and potential quantum advantage, of the original algorithm. Moreover, to support our theoretical analysis, we provide a classical numerical study illustrating the accuracy, complexity, and convergence of the algorithm for representative incompressible-flow cases, including the driven Taylor-Green vortex, the lid-driven cavity flow, and the flow past a cylinder. Our results provide a pathway to accurate quantum simulation of nonlinear fluid dynamics, and a framework for extending quantum LBM to more challenging flow configurations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_05781 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Simulating non-trivial incompressible flows with a quantum lattice Boltzmann algorithm Jennings, David Korzekwa, Kamil Lostaglio, Matteo Mannix, Paul Ashworth, Richard Marsili, Emanuele Rolston, Stephen Fluid Dynamics Quantum Physics Quantum algorithms have been identified as a potential means to accelerate computational fluid dynamics (CFD) simulations, with the lattice Boltzmann method (LBM) being a promising candidate for realizing quantum speedups. Here, we extend the recent quantum algorithm for the incompressible LBM to account for realistic fluid dynamics setups by incorporating walls, inlets, outlets, and external forcing. We analyze the associated complexity cost and show that these modifications preserve the asymptotic scaling, and potential quantum advantage, of the original algorithm. Moreover, to support our theoretical analysis, we provide a classical numerical study illustrating the accuracy, complexity, and convergence of the algorithm for representative incompressible-flow cases, including the driven Taylor-Green vortex, the lid-driven cavity flow, and the flow past a cylinder. Our results provide a pathway to accurate quantum simulation of nonlinear fluid dynamics, and a framework for extending quantum LBM to more challenging flow configurations. |
| title | Simulating non-trivial incompressible flows with a quantum lattice Boltzmann algorithm |
| topic | Fluid Dynamics Quantum Physics |
| url | https://arxiv.org/abs/2512.05781 |