Quantum Carleman Linearization of the Lattice Boltzmann Equation with Boundary Conditions
Reviewed by Pith T0 review T1 audit T2 compute T3 formal T4 kernel pith:TJXSDJ6Frecord.jsonopen to challenge →
read the original abstract
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.
This paper has not been read by Pith yet.
Forward citations
Cited by 1 Pith paper
-
A Quantum Linear Systems Pathway for Solving Differential Equations
A quantum algorithm pathway using block encoding and QSVT to solve differential equations, with demonstrations on heat and Burgers' equations plus hardware resource estimates.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.