Quantum Carleman Linearization of the Lattice Boltzmann Equation with Boundary Conditions
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2023
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866910349972733952 |
|---|---|
| author | Bakker, Bastien Watts, Thomas W. |
| author_facet | Bakker, Bastien Watts, Thomas W. |
| contents | The Lattice Boltzmann Method (LBM) is widely recognized as an efficient algorithm for simulating fluid flows in both single-phase and multi-phase scenarios. In this research, a quantum Carleman Linearization formulation of the Lattice Boltzmann equation is described, employing the Bhatnagar Gross and Krook equilibrium function. Our approach addresses the treatment of boundary conditions with the commonly used bounce back scheme.
The accuracy of the proposed algorithm is demonstrated by simulating flow past a rectangular prism, achieving agreement with respect to fluid velocity In comparison to classical LBM simulations. This improved formulation showcases the potential to provide computational speed-ups in a wide range of fluid flow applications.
Additionally, we provide details on read in and read out techniques. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_04781 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Quantum Carleman Linearization of the Lattice Boltzmann Equation with Boundary Conditions Bakker, Bastien Watts, Thomas W. Quantum Physics Fluid Dynamics The Lattice Boltzmann Method (LBM) is widely recognized as an efficient algorithm for simulating fluid flows in both single-phase and multi-phase scenarios. In this research, a quantum Carleman Linearization formulation of the Lattice Boltzmann equation is described, employing the Bhatnagar Gross and Krook equilibrium function. Our approach addresses the treatment of boundary conditions with the commonly used bounce back scheme. The accuracy of the proposed algorithm is demonstrated by simulating flow past a rectangular prism, achieving agreement with respect to fluid velocity In comparison to classical LBM simulations. This improved formulation showcases the potential to provide computational speed-ups in a wide range of fluid flow applications. Additionally, we provide details on read in and read out techniques. |
| title | Quantum Carleman Linearization of the Lattice Boltzmann Equation with Boundary Conditions |
| topic | Quantum Physics Fluid Dynamics |
| url | https://arxiv.org/abs/2312.04781 |