The lattice Boltzmann equation: A new tool for computational fluid-dynamics (original) (raw)

Optimizing lattice Boltzmann simulations for unsteady flows

Computers & fluids, 2006

We present detailed analysis of a lattice Boltzmann approach to model time-dependent Newtonian flows. The aim of this study is to find optimized simulation parameters for a desired accuracy with minimal computational time. Simulation parameters for fixed Reynolds and Womersley numbers are studied. We investigate influences from the Mach number and different boundary conditions on the accuracy and performance of the method and suggest ways to enhance the convergence behavior.

Applying the lattice Boltzmann equation to multiscale fluid problems

Computing in Science & Engineering, 2001

In the quest to model complex physical phenomena, overstating the need for simu-lational tools that can handle multiple space and time scales is hard. The capability of addressing problems across several length and time scales is a hallmark of modern computa-tional science, ...

The lattice Boltzmann equation method: theoretical interpretation, numerics and implications

International Journal of Multiphase Flow, 2003

During the last ten years the lattice Boltzmann equation (LBE) method has been developed as an alternative numerical approach in computational fluid dynamics (CFD). Originated from the discrete kinetic theory, the LBE method has emerged with the promise to become a superior modeling platform, both computationally and conceptually, compared to the existing arsenal of the continuum-based CFD methods. The LBE

Lattice Boltzmann Solver for Multiphase Flows: Application to High Weber and Reynolds Numbers

Entropy

The lattice Boltzmann method, now widely used for a variety of applications, has also been extended to model multiphase flows through different formulations. While already applied to many different configurations in low Weber and Reynolds number regimes, applications to higher Weber/Reynolds numbers or larger density/viscosity ratios are still the topic of active research. In this study, through a combination of a decoupled phase-field formulation—the conservative Allen–Cahn equation—and a cumulant-based collision operator for a low-Mach pressure-based flow solver, we present an algorithm that can be used for higher Reynolds/Weber numbers. The algorithm was validated through a variety of test cases, starting with the Rayleigh–Taylor instability in both 2D and 3D, followed by the impact of a droplet on a liquid sheet. In all simulations, the solver correctly captured the flow dynamics andmatched reference results very well. As the final test case, the solver was used to model droplet...

Cascaded Lattice Boltzmann Modeling and Simulations of Three-Dimensional Non-Newtonian Fluid Flows

2019

Non-Newtonian fluid flows, especially in three dimensions (3D), arise in numerous settings of interest to physics. Prior studies using the lattice Boltzmann method (LBM) of such flows have so far been limited to mainly to two dimensions and used less robust collision models. In this paper, we develop a new 3D cascaded LBM based on central moments and multiple relaxation times on a three-dimensional, nineteen velocity (D3Q19) lattice for simulation of generalized Newtonian (power law) fluid flows. The relaxation times of the second order moments are varied locally based on the local shear rate and parameterized by the consistency coefficient and the power law index of the nonlinear constitutive relation of the power law fluid. Numerical validation study of the 3D cascaded LBM for various benchmark problems, including the complex 3D non-Newtonian flow in a cubic cavity at different Reynolds numbers and power law index magnitudes encompassing shear thinning and shear thickening fluids,...

Numerical analysis of the averaged flow field in a turbulent lattice Boltzmann simulation

Physica A: Statistical Mechanics and its Applications, 2006

A direct numerical simulation of a turbulent flow field with a lattice BGK method is presented. A spatial coarse graining of the numerical results is compared with the expected LBGK dynamics for a flow field on a reduced lattice size. This comparison permits to exhibit subgrid properties of the fluid which are not resolved on the coarse lattice. As expected from existing subgrid models, an effective viscosity can be measured that increases when the lattice is coarse grained. Turbulence models based on an effective viscosity are particularly interesting in a lattice Boltzmann simulation, due to the linearity of the propagation operator. r

Simulation of jet-flows by using a lattice Boltzmann algorithm

Since around 1990, the Lattice Boltzmann method (LBM) has emerged as a powerful technique for the simulation of isothermal fluid flows in complex geometries. Here, we present work on modeling and simulation of two-dimensional jet-flows. The flow evoluting from laminar to turbulent regime is investigated. The dynamic is described and discussed.

Performance Analysis of the Lattice Boltzmann Model Beyond Navier-Stokes

2013 IEEE 27th International Symposium on Parallel and Distributed Processing, 2013

The lattice Boltzmann method is increasingly important in facilitating large-scale fluid dynamics simulations. To date, these simulations have been built on discretized velocity models of up to 27 neighbors. Recent work has shown that higher order approximations of the continuum Boltzmann equation enable not only recovery of the Navier-Stokes hydrodynamics, but also simulations for a wider range of Knudsen numbers, which is especially important in micro-and nanoscale flows. These higher-order models have significant impact on both the communication and computational complexity of the application. We present a performance study of the higherorder models as compared to the traditional ones, on both the IBM Blue Gene/P and Blue Gene/Q architectures. We study the tradeoffs of many optimizations methods such as the use of deep halo level ghost cells that, alongside hybrid programming models, reduce the impact of extended models and enable efficient modeling of extreme regimes of computational fluid dynamics.