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Minimal Boltzmann kinetic models, such as lattice Boltzmann, are often used as an alternative to the discretization of the Navier-Stokes equations for hydrodynamic simulations. Recently, it was argued that modeling sub-grid scale phenomena…

We propose a quantum algorithm for the Lattice Boltzmann (LB) method to simulate fluid flows in the low Reynolds number regime. First, we encode the particle distribution functions (PDFs) as probability amplitudes of the quantum state and…

Quantum Physics · Physics 2025-02-20 E. Dinesh Kumar , Steven H. Frankel

Currently, it is challenging to investigate aneurismal hemodynamics based on current in-vivo data such as Magnetic Resonance Imaging or Computed Tomography due to the limitations in both spatial and temporal resolutions. In this work, we…

Fluid Dynamics · Physics 2024-10-17 Thien-Tam Nguyen , Davina Kasperski , Phat Kim Huynh , Trung Quoc Le , Trung Bao Le

The transitional regime of plane channel flow is investigated {above} the transitional point below which turbulence is not sustained, using direct numerical simulation in large domains. Statistics of laminar-turbulent spatio-temporal…

Fluid Dynamics · Physics 2020-09-16 Pavan V. Kashyap , Yohann Duguet , Olivier Dauchot

We simulate the two-dimensional fluid flow around National Advisory Committee for Aeronautics (NACA) 0012 airfoil using a hybrid lattice Boltzmann method (HLBM), which combines the standard lattice Boltzmann method with an unstructured…

Fluid Dynamics · Physics 2020-06-19 Giovanni Di Ilio , Daniele Chiappini , Stefano Ubertini , Gino Bella , Sauro Succi

This paper deals with the investigation of flow field due to clap and fling mechanism using immersed boundary coupled with lattice Boltzmann method. The lattice Boltzmann method (LBM), an alternative to Navier Stokes solver, is used because…

Fluid Dynamics · Physics 2021-02-03 Pradeep Kumar S , Ashoke De , Debopam Das

Significant improvements in the computational performance of the lattice-Boltzmann (LB) model, coded in FORTRAN90, were achieved through application of enhancement techniques. Applied techniques include optimization of array memory layouts,…

Computational Physics · Physics 2020-06-24 Hakan Başağaoğlu , John R. Harwell , Hoa Nguyen , Sauro Succi

A systematic study is carried out on a fully resolved fluid-particle model which couples the Lattice Boltzmann Method (LBM) and the Discrete Element Method (DEM) using an immersed moving boundary technique. Similar algorithms have been…

Computational Physics · Physics 2019-06-21 G. C. Yang , L. Jing , C. Y. Kwok , Y. D. Sobral

Simulating inhomogeneous flows with different characteristic scales in different coordinate directions using the collide-and-stream based lattice Boltzmann methods (LBM) can be accomplished efficiently using rectangular lattice grids. We…

Fluid Dynamics · Physics 2021-06-02 Eman Yahia , Kannan Premnath

Fluid simulations, especially at high Reynolds numbers, are computationally expensive on classical computers, making them promising application targets for quantum computing. Recent studies have combined the lattice Boltzmann method (LBM)…

Quantum Physics · Physics 2026-05-28 Kazumasa Ueno , Keita Kanno , Yasunori Lee

The lattice Boltzmann method can be used to simulate flow through porous media with full geometrical resolution. With such a direct numerical simulation, it becomes possible to study fundamental effects which are difficult to assess either…

Computational Engineering, Finance, and Science · Computer Science 2015-08-13 Ehsan Fattahia , Christian Waluga , Barbara Wohlmuth , Ulrich Rüde , Michael Manhart , Rainer Helmig

The transition from laminar to turbulent fluid motion occurring at large Reynolds numbers is generally associated with the instability of the laminar flow. On the other hand, since the turbulent flow characteristically appears in the form…

Fluid Dynamics · Physics 2013-09-27 Sergei F. Chekmarev

Running large-scale computer codes for huge fluid flow problems requires not only large supercomputers but also efficient and well-optimized computer codes that save the resources of those supercomputers. This paper evaluates the…

Computational Physics · Physics 2024-08-02 Maja Bacza , Tadeusz Tomczak , Maciej Matyka

We study Kolmogorov flow on a three dimensional, periodic domain with aspect ratios fixed to unity. Using an energy method, we give a concise proof of the linear stability of the laminar flow profile. Since turbulent motion is observed for…

Fluid Dynamics · Physics 2016-11-23 Lennaert van Veen , Susumu Goto

Rapid and accurate simulation of cerebral aneurysm flow modifications by flow diverters (FDs) can help improving patient-specific intervention and predicting treatment outcome. However, with explicit FD devices being placed in…

Solving flow-related inverse problems such as topology optimization problems is intricate but significant in various engineering fields. The lattice Boltzmann method (LBM) and the related adjoint method are highly suitable to perform…

Numerical Analysis · Mathematics 2025-06-10 Ji-Wang Luo , Li Chen , Kentaro Yaji , Wen-Quan Tao

Lattice Boltzmann method (LBM) is particularly well-suited for implementation on quantum circuits owing to its simple algebraic operations and natural parallelism. However, most quantum LBMs fix $\tau$ = 1 to avoid nonlinear collision,…

Quantum Physics · Physics 2025-05-19 Yang Xiao , Liming Yang , Chang Shu , Yinjie Du , Hao Dong , Jie Wu

Intracranial aneurysms remain a major cause of neurological morbidity and mortality worldwide, where rupture risk is tightly coupled to local hemodynamics particularly wall shear stress and oscillatory shear index. Conventional…

Computational fluid dynamics (CFD) studies have been increasingly used for blood flow simulations in intracranial aneurysms (ICAs). However, despite the continuous progress of body-fitted CFD solvers, generating a high quality mesh is still…

Computational Engineering, Finance, and Science · Computer Science 2020-07-28 D. S. Lampropoulos , G. C. Bourantas , B. F. Zwick , G. C. Kagadis , A. Wittek , K. Miller , V. C. Loukopoulos

Inverse modeling of fluid flow through porous soils and reservoir rocks enables accurate determination of permeability and seepage properties critical for applications such as contaminant filtration, stability assessments, and optimization…

Fluid Dynamics · Physics 2023-10-03 Qiuyu Wang , Krishna Kumar