Computational modeling of MR flow imaging by the lattice Boltzmann method and Bloch equation

K Jurczuk, M Kretowski, JJ Bellanger, PA Eliat… - Magnetic resonance …, 2013 - Elsevier
In this work, a computational model of magnetic resonance (MR) flow imaging is proposed.
The first model component provides fluid dynamics maps by applying the lattice Boltzmann …

In silico modeling of magnetic resonance flow imaging in complex vascular networks

K Jurczuk, M Kretowski, PA Eliat… - IEEE transactions on …, 2014 - ieeexplore.ieee.org
The paper presents a computational model of magnetic resonance (MR) flow imaging. The
model consists of three components. The first component is used to generate complex …

Lattice Boltzmann method for simulation of diffusion magnetic resonance imaging physics in multiphase tissue models

NM Naughton, CG Tennyson, JG Georgiadis - Physical Review E, 2020 - APS
We report an implementation of the lattice Boltzmann method (LBM) to integrate the Bloch-
Torrey equation, which describes the evolution of the transverse magnetization vector and …

Investigation of phase-contrast magnetic resonance imaging underestimation of turbulent flow through the aortic valve phantom: Experimental and computational …

R Fučík, R Galabov, P Pauš, P Eichler… - … Resonance Materials in …, 2020 - Springer
Objective The accuracy of phase-contrast magnetic resonance imaging (PC-MRI)
measurement is investigated using a computational fluid dynamics (CFD) model with the …

Noise reduction of flow MRI measurements using a lattice Boltzmann based topology optimisation approach

F Klemens, S Schuhmann, R Balbierer, G Guthausen… - Computers & …, 2020 - Elsevier
In a previous work, the feasibility of coupling magnetic resonance imaging (MRI)
measurements and computational fluid dynamics (CFD) was presented, called CFD-MRI …

Non-Newtonian turbulent flow through aortic phantom: Experimental and computational study using magnetic resonance imaging and lattice Boltzmann method

P Eichler, R Galabov, R Fučík, K Škardová… - … & Mathematics with …, 2023 - Elsevier
The necessity of using non-Newtonian models for hemodynamics in geometries mimicking
large vessels is investigated. Phase-contrast magnetic resonance imaging (PC-MRI) …

Lattice Boltzmann framework for accurate NMR simulation in porous media

I Rybin, I Shikhov, CH Arns - Physical Review E, 2022 - APS
Nuclear magnetic resonance (NMR) responses of fluids saturating porous media arise from
complex relaxation-diffusion dynamics of polarized spins. These constitute a sensitive probe …

Towards solving fluid flow domain identification problems with adjoint lattice Boltzmann methods

MJ Krause, B Förster, A Mink, H Nirschl - High Performance Computing in …, 2016 - Springer
A novel strategy towards solving fluid flow domain identification problems for incompressible
Newtonian fluids is proposed and investigated in this paper. The resulting numerical …

Development of lattice Boltzmann flux solver for simulation of incompressible flows

C Shu, Y Wang, CJ Teo, J Wu - Advances in Applied Mathematics …, 2014 - cambridge.org
A lattice Boltzmann flux solver (LBFS) is presented in this work for simulation of
incompressible viscous and inviscid flows. The new solver is based on Chapman-Enskog …

Progress in lattice Boltzmann methods for magnetohydrodynamic flows relevant to fusion applications

MJ Pattison, KN Premnath, NB Morley… - Fusion Engineering and …, 2008 - Elsevier
In this paper, an approach to simulating magnetohydrodynamic (MHD) flows based on the
lattice Boltzmann method (LBM) is presented. The dynamics of the flow are simulated using …