An optimized reciprocity Monte Carlo method for the calculation of radiative transfer in media of various optical thicknesses

Dupoirieux, F.; Tessé, Lionel; Avila, Sébastien; Taine, Jean

doi:10.1016/j.ijheatmasstransfer.2005.10.009

Cited by 23 publications

(8 citation statements)

References 39 publications

(44 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…(2) In the medium with semitransparent surfaces, a bigger scattering albedo can cause smaller temperature peaks in transients, but at steady-state, it can cause larger temperature peaks. (3) Increase of the optical thickness can enhance the effects of anisotropic scattering; and for the medium having the same optical thickness, the smaller the refractive index is, the more the anisotropic scattering affects transient temperature distributions.…”

Section: Discussionmentioning

confidence: 99%

See 1 more Smart Citation

Radiative heat transfer in a participating medium with specular–diffuse surfaces

Zhen

Tan

et al. 2009

International Journal of Heat and Mass Transfer

View full text Add to dashboard Cite

Section: Discussionmentioning

confidence: 99%

“…For instance, there are zone method [1], Monte Carlo method (MCM) [2], P-N spherical harmonics method [3], discrete ordinates method (DOM) [4], discrete transfer method (DTM) [5], finite-volume method (FVM) [6], finite element method (DOM) [7], meshless method [8], etc.…”

Section: Introductionmentioning

confidence: 99%

Radiative heat transfer in a participating medium with specular–diffuse surfaces

Zhen

Tan

et al. 2009

International Journal of Heat and Mass Transfer

View full text Add to dashboard Cite

“…This procedure, called backward (or reverse) Monte Carlo, is possible by virtue of the path-reversibility of individual scattering and reflection events required by the second law. This approach has been used to significantly increase accuracy and/or reduce computational time [96][97][98][99][100][101][102][103][104][105][106], often by orders-of-magnitude compared to conventional MC. Reverse tracing also allowed the straightforward treatment of many inverse problems in radiation [107][108][109][110][111][112][113][114][115][116][117].…”

Section: Backward Monte Carlomentioning

confidence: 99%

The Past and Future of the Monte Carlo Method in Thermal Radiation Transfer

Howell

Daun

2021

Journal of Heat Transfer

View full text Add to dashboard Cite

show abstract

“…As well as the conventional forward method, different reciprocal methods, based on the exchange formulation of radiative transfer, are implemented: the emission, absorption, and optimized reciprocity methods [39,40]. In the case of the emission reciprocity method (ERM) [39], which has been carried out in the present work (see Sec.…”

Section: E Radiation Solver 1 Presentationmentioning

confidence: 99%

Numerical Study of Solid-Rocket Motor Ignition Overpressure Wave Including Infrared Radiation

Dargaud

Troyes

Lamet

et al. 2014

Journal of Propulsion and Power

Self Cite

View full text Add to dashboard Cite

The ignition overpressure wave generated during the pressure build-up of a solid-rocket motor is numerically investigated in this study. Numerical simulations are compared to the LP10 experiments, consisting of the horizontal firing of a scaled-down model for the Ariane 5 P230 booster. The present work aims at the prediction of the main characteristics of the ignition overpressure in the far field and the assessment of afterburning influence on both its formation mechanisms and its alteration by the jet plume. Two three-dimensional large-eddy simulations are performed, one considering inert flow and one modeling the afterburning. Infrared images of the plume are also computed with a dedicated radiation transfer solver. An overall good agreement with the experimental results is reported on amplitude and duration. Nevertheless, the reactive case is found to provide better results on amplitude and directivity. The signature is also better reproduced on the microphones near the jet centerline, and the emitted infrared intensity is well captured. Computations indicate that the formation of the shock wave is obtained by coalescence of compression waves emitted by the accelerating jet at early times. For the reactive case, computations show an increased interaction between the jet and the overpressure wave. Nomenclature A = area, m 2 a = ellipse x-axis length, m b = ellipse y-axis length, m C s = sth far-field microphone c = speed of sound, m · s −1 D = diameter, m e = eccentricity h = infrared field height, m I = acoustic intensity, W k = absorption index l = infrared field length, m M = Mach number m = alumina complex refraction index n = refraction index p = pressure, Pa R = shock traveled distance, m t = time, ms u = velocity, m · s −1 x, y, z = Cartesian coordinates α = far-field microphone angle, deg γ = ratio of specific heats Δp = shock amplitude, Pa Δt = time step, s Δx = maximal grid cell size, mm δ = duration, s λ = wavelength, m ρ = density, kg · m −3 Subscripts 0 = isotropic shock initial characteristics atm = atmospheric conditions bu = properties at rupture instant em = properties at ignition overpressure emission instant i = stagnation value ini = simulation initial characteristics int = shock tube intermediate properties iop = ignition overpressure properties ir = infrared properties j = nozzle exit plane properties le = ignition overpressure leading front arrival time max = ignition overpressure pressure maximum nl = ignition overpressure nonlinear propagation predicted time prop = propellant properties s = far-field sensor index st = shock-tube properties theo = ideal seal rupture characteristics at sensor location tr = ignition overpressure trailing front arrival time Superscript = nozzle throat properties

show abstract

An optimized reciprocity Monte Carlo method for the calculation of radiative transfer in media of various optical thicknesses

Cited by 23 publications

References 39 publications

Radiative heat transfer in a participating medium with specular–diffuse surfaces

Radiative heat transfer in a participating medium with specular–diffuse surfaces

The Past and Future of the Monte Carlo Method in Thermal Radiation Transfer

Numerical Study of Solid-Rocket Motor Ignition Overpressure Wave Including Infrared Radiation

Contact Info

Product

Resources

About