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Understanding turbulence is the key to our comprehension of many natural and technological flow processes. At the heart of this phenomenon lies its intricate multi-scale nature, describing the coupling between different-sized eddies in…

The primary goal of the EuroHPC JU project SCALABLE is to develop an industrial Lattice Boltzmann Method (LBM)-based computational fluid dynamics (CFD) solver capable of exploiting current and future extreme scale architectures, expanding…

Quantum computing has emerged as a powerful potential accelerator for computational fluid dynamics (CFD), but whether this promise can be realized in practice depends on how fluid information is encoded on quantum hardware. This review…

Quantum Physics · Physics 2026-04-28 Omer Rathore , Alastair Basden , Nicholas Chancellor , Halim Kusumaatmaja

The lattice Boltzmann method has become a standard technique for simulating a wide range of fluid flows. However, the intrinsic coupling of momentum and space discretization restricts the traditional lattice Boltzmann method to regular…

Nonlinear stochastic differential equations (NSDEs) are a pillar of mathematical modeling for scientific and engineering applications. Accurate and efficient simulation of large-scale NSDEs is prohibitive on classical computers due to the…

Quantum Physics · Physics 2026-03-16 Xiangyu Li , Ahmet Burak Catli , Ho Kiat Lim , Matthew Pocrnic , Dong An , Jin-Peng Liu , Nathan Wiebe

Microfluidics provides a powerful and versatile technology to accurately control spatial and temporal conditions for cell culturing and can therefore be used to study cellular responses to gradients. Here we use Lattice Boltzmann methods…

Fluid Dynamics · Physics 2013-08-12 Simon Tanaka , Dagmar Iber

The ensemble data assimilation of computational fluid dynamics simulations based on the lattice Boltzmann method (LBM) and the local ensemble transform Kalman filter (LETKF) is implemented and optimized on a GPU supercomputer based on…

The applications and impact of high fidelity simulation of fluid flows are far-reaching. They include settling some long-standing and fundamental questions in turbulence. However, the computational resources required for such efforts are…

Quantum Physics · Physics 2025-03-25 Sachin S. Bharadwaj , Katepalli R. Sreenivasan

Complex colloidal fluids, such as emulsions stabilized by complex shaped particles, play an important role in many industrial applications. However, understanding their physics requires a study at sufficiently large length scales while…

Soft Condensed Matter · Physics 2012-04-27 Florian Günther , Florian Janoschek , Stefan Frijters , Jens Harting

Computational fluid dynamics is both a thriving research field and a key tool for advanced industry applications. The central challenge is to simulate turbulent flows in complex geometries, a compute-power intensive task due to the large…

We propose an innovative difference-free scheme that combines the one-fluid lattice Boltzmann method (lBM) with the conservative phase-field (CPF) lBM to effectively solve large-scale two-phase fluid flow problems. The difference-free…

Fluid Dynamics · Physics 2024-07-18 Chunheng Zhao , Saumil Patel , Taehun Lee

This is a review of recent research exploring and extending present-day quantum computing capabilities for fusion energy science applications. We begin with a brief tutorial on both ideal and open quantum dynamics, universal quantum…

Quantum Physics · Physics 2023-02-28 I. Joseph , Y. Shi , M. D. Porter , A. R. Castelli , V. I. Geyko , F. R. Graziani , S. B. Libby , J. L. DuBois

The current work presents a novel COllaborative Open-source Lattice Boltzmann Method framework, so-called CooLBM. The computational framework is developed for the simulation of single and multi-component multi-phase problems, along with a…

Computational Physics · Physics 2025-02-19 R. Alamian , A. K. Nayak , M. S. Shadloo

Computational fluid dynamics (CFD) is increasingly used to study blood flows in patient-specific arteries for understanding certain cardiovascular diseases. The techniques work quite well for relatively simple problems, but need…

Computational Physics · Physics 2018-10-11 Fande Kong , Vitaly Kheyfets , Ender Finol , Xiao-Chuan Cai

Systems of linear equations are used to model a wide array of problems in all fields of science and engineering. Recently, it has been shown that quantum computers could solve linear systems exponentially faster than classical computers,…

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 discuss the viability of ensemble simulations of fluid flows on quantum computers. The basic idea is to formulate a functional Liouville equation for the probability distribution of the flow field configuration and recognize that, due to…

Quantum Physics · Physics 2023-04-13 Sauro Succi , Wael Itani , Katepalli R. Sreenivasan , Rene Steijl

We explore the Carlemann linearization of the collision term of the lattice Boltzmann formulation, as a first step towards formulating a quantum lattice Boltzmann algorithm. Specifically, we deal with the case of a single, incompressible…

Fluid Dynamics · Physics 2021-11-23 Wael Itani , Sauro Succi

We examine the applicability of diffusive lattice Boltzmann methods to simulate the fluid transport through barrier coatings, finding excellent agreement between simulations and analytical predictions for standard parameter choices. To…

Computational Physics · Physics 2017-06-28 Kyle T. Strand , Aaron J. Feickert , Alexander J. Wagner

The numerical simulation of multiphase flows involving dispersed components with large scale disparities, such as the collisions between millimeter-sized bubbles and micron-sized mineral particles in flotation, poses a significant…

Fluid Dynamics · Physics 2026-05-21 Linfeng Jiang , Enrico Calzavarini , Dominik Krug