High-order regularization in lattice-Boltzmann equations

KK Mattila, PC Philippi, LA Hegele - Physics of Fluids, 2017 - pubs.aip.org
A lattice-Boltzmann equation (LBE) is the discrete counterpart of a continuous kinetic model.
It can be derived using a Hermite polynomial expansion for the velocity distribution function …

Implementation of a high-order compact finite-difference lattice Boltzmann method in generalized curvilinear coordinates

K Hejranfar, E Ezzatneshan - Journal of Computational Physics, 2014 - Elsevier
In this work, the implementation of a high-order compact finite-difference lattice Boltzmann
method (CFDLBM) is performed in the generalized curvilinear coordinates to improve the …

High-order implicit palindromic discontinuous Galerkin method for kinetic-relaxation approximation

D Coulette, E Franck, P Helluy, M Mehrenberger… - Computers & …, 2019 - Elsevier
We construct a high order discontinuous Galerkin method for solving general hyperbolic
systems of conservation laws. The method is CFL-less, matrix-free, has the complexity of an …

Improved stability strategies for pseudo-potential models of lattice Boltzmann simulation of multiphase flow

Y Wu, N Gui, X Yang, J Tu, S Jiang - International Journal of Heat and Mass …, 2018 - Elsevier
Since the pseudo-potential lattice-Boltzmann (LB) model was proposed, it has been
suffering from low density ratio, small Reynolds number and flow instabilities, which hamper …

A decoupled and stabilized lattice Boltzmann method for multiphase flow with large density ratio at high Reynolds and Weber numbers

Y Wu, N Gui, X Yang, J Tu, S Jiang - Journal of Computational Physics, 2021 - Elsevier
A decoupled lattice Boltzmann method (LBM) with improved numerical stability is developed
from the conventional multiple relaxation time (MRT) model by eliminating the second-order …

Enhancement of the stability of lattice Boltzmann methods by dissipation control

AN Gorban, DJ Packwood - Physica A: Statistical Mechanics and its …, 2014 - Elsevier
Artificial dissipation is a well known tool for the improvement of stability of numerical
algorithms. However, the use of this technique affects the accuracy of the computation. We …

[HTML][HTML] Fourth-order analysis of force terms in multiphase pseudopotential lattice Boltzmann model

Y Wu, N Gui, X Yang, J Tu, S Jiang - Computers & Mathematics with …, 2018 - Elsevier
Pseudopotential lattice Boltzmann model (LBM) for multiphase flow has been widely studied
due to its conceptual simplicity and computational efficiency. Additional interaction force …

High-order lattice-Boltzmann

PC Philippi, DN Siebert, LA Hegele Jr… - Journal of the Brazilian …, 2016 - Springer
Unlike conventional CFD methods, the lattice Boltzmann method (LBM) describes the
dynamic behaviour of physical systems in a mesoscopic scale, based on discrete forms of …

A consistent large eddy approach for lattice boltzmann methods and its application to complex flows

A Schneider - 2015 - kluedo.ub.rptu.de
Lattice Boltzmann Methods have shown to be promising tools for solving fluid flow problems.
This is related to the advantages of these methods, which are among others, the simplicity in …

[PDF][PDF] Burnett order stress and spatially-dependent boundary conditions for the lattice Boltzmann method

T Reis - Commun. Comput. Phys., 2020 - global-sci.com
Stress boundary conditions for the lattice Boltzmann equation that are consistent to Burnett
order are proposed and imposed using a moment-based method. The accuracy of the …