Coupled radiative and conjugate heat transfer in participating media using lattice Boltzmann methods

McCulloch, Richard; Bindra, Hitesh

doi:10.1016/j.compfluid.2015.05.024

Cited by 31 publications

(4 citation statements)

References 33 publications

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“…Based on this idea, several LB models have been proposed to study radiative transport. Initially most of these efforts have focused on studying steady-state problems in one and two spatial dimensions (Asinari et al 2010;Bindra & Patil 2012;Mishra et al 2014;McCulloch & Bindra 2016;Yi et al 2016), considering isotropic as well as anisotropic scattering . So far, however, only very few authors have considered the three-dimensional case (McHardy et al 2016;Mink et al 2020).…”

Section: A Short Introduction To Lattice Boltzmannmentioning

confidence: 99%

“…The application of the LB method as a solver for radiation transfer problems is relatively new (Asinari et al 2010), and most models proposed so far apply only to the analysis of steady-state radiation-transport problems in one and two dimensions (Bindra & Patil 2012;Mishra et al 2014;McCulloch & Bindra 2016;Yi et al 2016), with very few studies carried out in three dimensions (McHardy et al 2016;Wang et al 2019). More recent developments (Mink et al 2020) have shown in detail that LB offers an accurate and efficient tool in the diffusive regime of radiation transport, though struggling in the transition towards ballistic conditions.…”

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confidence: 99%

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Beyond moments: relativistic lattice Boltzmann methods for radiative transport in computational astrophysics

Weih

Gabbana

Simeoni

et al. 2020

Monthly Notices of the Royal Astronomical Society

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We present a new method for the numerical solution of the radiative-transfer equation (RTE) in multidimensional scenarios commonly encountered in computational astrophysics. The method is based on the direct solution of the Boltzmann equation via an extension of the Lattice Boltzmann (LB) equation and allows to model the evolution of the radiation field as it interacts with a background fluid, via absorption, emission, and scattering. As a first application of this method, we restrict our attention to a frequency independent (“grey”) formulation within a special-relativistic framework, which can be employed also for classical computational astrophysics. For a number of standard tests that consider the performance of the method in optically thin, optically thick and intermediate regimes with a static fluid, we show the ability of the LB method to produce accurate and convergent results matching the analytic solutions. We also contrast the LB method with commonly employed moment-based schemes for the solution of the RTE, such as the M1 scheme. In this way, we are able to highlight that the LB method provides the correct solution for both non-trivial free-streaming scenarios and the intermediate optical-depth regime, for which the M1 method either fails or provides inaccurate solutions. When coupling to a dynamical fluid, on the other hand, we present the first self-consistent solution of the RTE with LB methods within a relativistic-hydrodynamic scenario. Finally, we show that besides providing more accurate results in all regimes, the LB method features smaller or comparable computational costs compared to the M1 scheme.

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Section: A Short Introduction To Lattice Boltzmannmentioning

confidence: 99%

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confidence: 99%

Beyond moments: relativistic lattice Boltzmann methods for radiative transport in computational astrophysics

Weih

Gabbana

Simeoni

et al. 2020

Monthly Notices of the Royal Astronomical Society

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“…all the other parameters and conditions are kept same as used in the analytical solution and are provided in Table [ 2] below.…”

Section: Su-olson Benchmark Problem For Nonequilibrium Radiative Tranmentioning

confidence: 99%

Lattice Boltzmann method for solving non-equilibrium radiative transport problems

Gairola

Bindra

2017

Annals of Nuclear Energy

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Recently developed lattice Boltzmann equation (LBE) framework [1, 2] for radiation transport is extended to solve time-dependent non-equilibrium radiative and neutron tranport problems. Dynamics of radiation and material energy exchange is modeled by coupling radiation transport equation with the material energy equation in a one-dimensional isotropically scattering homogenous medium. The LBE solutions are compared against the existing semi-analytical P 1 benchmark and show good agreement for different times. Furthermore, a two-dimensional D 2 Q 8 lattice Boltzmann method is proposed for solving the neutron transport equation in a heterogenous media (e.g., checkerboard lattice with pure scattering and absorbing cells). The results obtained with LBE are in good agreement with the existing discrete ordinate method results for the benchmark problem.

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“…It is noticeable that the nanoparticle parameter enhances the aggregated composite thermal conductivity. The thermal radiative flux when the medium of the flow is a porous was examined in various experimental and theoretical studies [26][27][28][29][30][31][32][33][34][35][36][37][38][39]. In these studies, wavy surfaces, semi-infinite vertical plate, stretching sheets and disks are used as boundaries of the flow domain.…”

Section: Introductionmentioning

confidence: 99%

The additive effects of various convection flows saturated in porous media using Cu–water nanofluid: entropy analysis

Raizah¹,

Mansour²,

Ahmed³

2020

Phys. Scr.

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The current simulations treat impacts of the thermal radiation on some natural convective process and entropy generation along a vertical surface impeded in a non-Darcy porous medium. Various convective practicabilities are due to various thermal boundary conditions, namely, isothermal surface with horizontal leading edge C1, uniform surface with horizontal leading edge C2, an adiabatic surface with a concentrated heat source along the horizontal leading edge C3 and a plane plume rising from a horizontal thermal source C4. Beside the boundary conditions, these convection modes are characteristic with a power index such that refers to C1, refers to C2 and refers to C3 and C4. The worked mixture is Cu-water nanofluid. The dependent variables are expanded in terms of small parameters and those are function in the permeability parameter. Numerical imitations are carried out for several of the radiation parameter concentration of the nanoparticles and the porosity of the porous medium The outcomes disclosed that, for all the considered cases, profiles of the temperature, velocity, Bejan number and entropy are enhanced as the radiation parameter is increased. In C1 (isothermal case) the zero-order of the skin friction and the Nusselt coefficient are augmented as is varied. In the same context, in C1, the growing in the radiation coefficient from 0 to 2 results in an increase in the zero-order of the skin friction by 9.4%.

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Coupled radiative and conjugate heat transfer in participating media using lattice Boltzmann methods

Cited by 31 publications

References 33 publications

Beyond moments: relativistic lattice Boltzmann methods for radiative transport in computational astrophysics

Beyond moments: relativistic lattice Boltzmann methods for radiative transport in computational astrophysics

Lattice Boltzmann method for solving non-equilibrium radiative transport problems

The additive effects of various convection flows saturated in porous media using Cu–water nanofluid: entropy analysis

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